First Commission Directive 79/796/EEC of 26 July 1979 laying down Community metho... (31979L0796)
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FIRST COMMISSION DIRECTIVE

of 26 July 1979

Laying down Community methods of analysis for testing certain sugars intended for human consumption

(79/786/EEC)

THE COMMISSION OF THE EUROPEAN COMMUNITIES,
Having regard to the Treaty establishing the European Economic Community,
Having regard to Council Directive 73/437/EEC of 11 December 1973 on the approximation of the laws of the Member States concerning certain sugars intended for human consumption(1), and in particular Article 11 thereof,
Whereas Article 11 of that Directive lays down that the composition of certain sugars shall be verified by Community methods of analysis;
Whereas it is desirable to adopt an initial series of methods in respect of which studies have been completed;
Whereas the method of determining the colour type for sugar or white sugar and for extra-white sugar, the method of measuring the conductivity ash in extra-white sugar, in sugar solution, in invert sugar solution and in invert sugar syrup, and the method of determining the colour in solution of extra-white sugar and sugar solution are laid down in the Annex to Directive 73/437/EEC;
Whereas, on the other hand, pending the formulation of further Community methods for the determination of reducing sugars, it would be advisable to allow the Member States the option of continuing to authorize the use of the Lane and Eynon method (methods 7 and 8 in Annex II, III.3 and III.4) instead of the Luff-Schoorl method (method 6 in Annex 11, III.3 and III.4);
Whereas the methods of analysis provided for in this Directive are in accordance with the opinion of the Standing Committee on Foodstuffs,
HAS ADOPTED THIS DIRECTIVE:

Article 1

1.   Member States shall require that the analyses necessary for verification of the criteria set out in Annex I be performed according to the methods described in Annex II to this Directive.
2.   Without prejudice to the second subparagraph, the Luff-Schoorl method (Annex II, method 6) shall be used to determine the reducing sugars in the following sugars:
— sugar solution,
— white sugar solution,
— invert sugar solution,
— white invert sugar solution,
— invert sugar syrup,
— glucose syrup,
— dried glucose syrup,
— dextrose monohydrate,
— dextrose anhydrous.
Member States may, however, require the use in their territory of the Lane and Eynon method (Annex II, methods 7 and/or 8 as appropriate) to determine the reducing sugars in one or more of the sugars listed above.
3.   If a Member State makes use of the option provided for in the second subparagraph of paragraph 2, it shall forthwith inform the Commission and the other Member States thereof.

Article 2

Member States shall bring into force the laws, regulations or administrative provisions necessary to comply with this Directive not later than 18 months following its notification. They shall forthwith inform the Commission thereof.

Article 3

This Directive is addressed to the Member States.
Done at Brussels, 26 July 1979.
For the Commission
Étienne DAVIGNON
Member of the Commission
(1)  
OJ No L 356, 27. 12. 1973, p. 71
.

ANNEX I

SCOPE OF TOE COMMUNITY METHODS OF ANALYSIS FOR CERTAIN SUGARS INTENDED FOR HUMAN CONSUMPTION

I.
Determination of the loss of mass on drying in:

semi-white sugar

sugar or white sugar

extra-white sugar

(using method 1, Annex II)

II.
Dry matter determination in:

II. 1.

glucose syrup

dried glucose syrup

dextrose monohydrate

dextrose anhydrous

(using method 2, Annex II)

II.2.

sugar solution or white sugar solution

invert sugar solution or white invert sugar solution

invert sugar syrup or white invert sugar syrup

(using method 3, Annex II)

III.
Measurement of reducing sugars in:

III. 1.

semi-white sugar

(using method 4, Annex II)

III.2.

sugar or white sugar

extra-white sugar

(using method 5, Annex II)

III.3.

sugar solution

white sugar solution

invert sugar solution

white invert sugar solution

invert sugar syrup

white invert sugar syrup

(using method 6 or 7, Annex II)

III.4.

glucose syrup

dried glucose syrup

dextrose monohydrate

dextrose anhydrous

(using method 6 or 8, Annex II)

IV.
Sulphated ash determination in:

glucose syrup

dried glucose syrup

dextrose monohydrate

dextrose anhydrous

(using method 9, Annex II)

V.
Determination of polarization in:

semi-white sugar

sugar or white sugar

extra-white sugar

(using method 10, Annex II)

ANNEX II

METHODS OF ANALYSIS TO VERIFY THE COMPOSITION OF CERTAIN SUGARS INTENDED FOR HUMAN CONSUMPTION

INTRODUCTION

1.   

Preparation of the sample for analysis

Thoroughly mix the sample received at the laboratory.
Remove a sub-sample of at least 200 g and transfer immediately to a clean, dry, moisture-tight vessel fitted with an airtight closure.

2.   

Reagents and apparatus

In the description of the apparatus, reference is made only to special instruments and apparatus or to those calling for special standards.
Wherever mention is made of water, this means distilled water or demineralized water of at least equivalent purity.
All reagents shall be of analytical reagent quality unless otherwise specified.
Wherever reference is made to a reagent solution without further qualification, an aqueous solution is meant.

3.   

Expression of results

The result referred to in the official analysis report shall be the mean value of at least two satisfactory replicate determinations.
Unless otherwise stated the results shall be expressed as a percentage by mass of the original sample as received at the laboratory.
The number of significant figures in the result so expressed shall be governed by the precision of the method.

METHOD 1

DETERMINATION OF THE LOSS OF MASS ON DRYING

1.   

Scope and field of application

The method determines the loss of mass on drying in:
— semi-white sugar,
— sugar or white sugar,
— extra-white sugar.

2.   

Definition

‘Loss of mass on drying’: the value of the loss of mass on drying as determined by the method specified.

3.   

Principle

The loss of mass on drying is determined by drying at a temperature of 103 ± 2
o
C.

4.   

Apparatus

4.1.
Analytical balance,
accurate to within 0.1 mg.
4.2.
Oven, suitably ventilated, thermostatically controlled, and capable of being maintained at 103 ± 2
o
C.
4.3.
Metal weighing dish,
flat-bottomed, resistant to attack by the samples and the conditions of test, diameter at least 100 mm, depth at least 30 mm.
4.4.
Desiccator,
containing freshly activated silica gel or an equivalent desiccant, with a water content indicator.

5.   

Procedure

N.B.:
The operations described in sections 5.3 to 5.7 must be performed immediately after opening the sample container.
5.1.
Dry the dish (4.3) to constant weight in the oven (4.2) at 103 ± 2
o
C.
5.2.
Allow the dish to cool in the desiccator (4.4) for at least 30 to 35 minutes and then weigh to the nearest 0.l mg.
5.3.
Weigh accurately, to the nearest 0.1 mg, approximately 20 to 30 g of the sample into the dish.
5.4.
Place the dish in the oven (4.2) at 103 ± 2
o
C for three hours.
5.5.
Allow the dish to cool in a desiccator (4.4) and weigh to the nearest 0.1 mg.
5.6.
Replace the dish in the oven at 103 ± 2
o
C for 30 minutes.
Allow to cool in the desiccator (4.4) and weigh to the nearest 01 mg. Repeat this operation if the difference between two weighings is more than 1 mg. Should an increase in mass occur, the lowest recorded reading will be used in the calculation.
5.7.
Do not exceed four hours total drying time.

6.   

Expression of results

6.1.   

Formula and method of calculation

The loss of mass on drying, as a percentage by mass of the sample, is given by the following formula:
[Bild bitte in Originalquelle ansehen]
where:
m
0
is the initial mass, in grams, of the test portion,
m
1
is the mass, in grams, of the test portion after drying.

6.2.   

Repeatability

The difference between the results of two determinations when carried out simultaneously or in rapid succession on the same sample, by the same analyst, under the same conditions, shall not exceed 0·02 g per 100 g of sample.

METHOD 2

DETERMINATION OF DRY MATTER

Vacuum oven method

1.   

Scope and field of application

The method determines the dry matter content in:
— glucose syrup,
— dried glucose syrup,
— dextrose monohydrate,
— dextrose anhydrous.

2.   

Definition

‘The dry matter content’: the content of dry matter as determined by the method specified.

3.   

Principle

The dry matter is determined at a temperature of 70 ± 1
o
C using a vacuum oven at a pressure not exceeding 3·3 kPa (34 mbar). The test portions in the case of glucose syrup or dried glucose syrups, are prepared by mixing with water and kieselguhr before drying.

4.   

Reagents

4.1.
Kieselguhr:
place in a Buchner funnel and purify by repeated washings with dilute hydrochloric acid (1 ml of concentrated acid, density at 20
o
C = 1·19 g/ml per litre of water). The treatment is complete when the washings remain definitely acid. Wash with water until the pH value of the filtered water is greater than 4. Dry in an oven at 103 ± 2
o
C and store in an airtight container.

5.   

Apparatus

5.1.
Vacuum drying oven,
leak tight, thermostatically controlled and equipped with a thermometer and a vacuum manometer. The oven design must be such that the heat is rapidly transferred to the weighing dishes placed on the shelves.
5.2.
Air-drying train
consisting of a glass tower filled with freshly activated dry silica gel or an equivalent desiccant containing a water content indicator. This tower is mounted in series with a gas scrubber containing concentrated sulphuric acid connected to the air intake of the oven.
5.3.
Vaccum pump
capable of maintaining the presure in the oven at 3·3 kPa (34 mbar) or less.
5.4.
Metal weighing dish,
flat-bottomed, resistant to attack by the samples and the conditions of test, diameter at least 100 mm, depth at least 300 mm.
5.5.
Glass rod
of a length such that it cannot completely fall into the container.
5.6.
Desiccator
containing freshly activated dry silica gel, or an equivalent desiccant, with a water content indicator.
5.7.
Analytical balance
accurate to within 0.1 mg.

6.   

Procedure

6.1.
Pour approximately 30 g of kieselguhr (4.1) into the weighing dish (5.4) equipped with a glass rod (5.5). Place the whole in the oven (5.1) at 70 ± 1
o
C and reduce the pressure to 3·3 kPa (34 mbar) or less.
Dry for at least five hours, drawing a slow stream of air into the oven through the drying train. Check the pressure from time to time and correct it if necessary.
6.2.
Restore atmospheric pressure in the oven by cautiously increasing the intake of dry air. Immediately place the dish together with the glass rod in the desiccator (5.6). Allow to cool and then weigh.
63.
Accurately weigh to the nearest 1 mg approximately 10 g of the sample to be analyzed into a 100 ml beaker.
6.4.
Dilute the test portion with 10 ml of warm water and transfer the solution quantitatively into the weighing dish, using the glass rod (5.5).
6.5.
Place the dish containing the test portion and the glass rod in the oven and reduce the pressure to 3.3 kPa (34 mbar) or less. Dry at 70 ± 1
o
C, allowing a slow stream of dry air to pass through the oven.
The drying operation should proceed for 20 hours; the bulk of the loss should occur towards the end of the first day. It will be necessary to keep the vacuum pump working at a preset pressure and allow a slow stream of dry air to enter the oven so as to maintain a pressure of approximately 3·3 kPa (34 mbar) or less during the night.
6.6.
Restore atmospheric pressure in the oven by cautiously increasing the intake of dry air. Immediately place the weighing dish and contents in the desiccator. Allow to cool and then weigh to the nearest 1 mg.
6.7.
Continue operation (6.5) for a further four hours. Restore atmospheric pressure in the oven and immediately place the dish in the desiccator. Allow to cool and then weigh. Ascertain whether constant mass has been reached. It is considered that constant mass has been satisfactorily attained if the difference between the two weighings of the same dish does not exceed 2 mg. If the difference is greater, repeat operation 6.7.
6.8.
For the determination of the dry matter in dextrose anhydrous or dextrose monohydrate samples the use of kieselguhr and water is not required.

7.   

Expression of results

7.1.   

Formula and method of calculation

The dry matter content, expressed as a percentage by mass of the sample is given by:
[Bild bitte in Originalquelle ansehen]
where:
m
0
=
the initial mass, in grams, of the test portion,
m
1
=
the mass, in grams, of the weighing dish plus the kieselguhr, the glass rod and the residue of the test portion after drying,
m
2
=
the mass, in grams, of the weighing dish plus the kieselguhr and the glass rod.

7.2.   

Repeatability

The difference between the results of two determinations when carried out simultaneously or in rapid succession on the same sample, by the same analyst, under the same conditions, shall not exceed 0·12 g per 100 g of sample.

METHOD 3

DETERMINATION OF TOTAL DRY MATTER

(Refractometric method)

1.   

Scope and field of application

The method determines the dry-matter content in:
— sugar solution,
— white sugar solution,
— invert sugar solution,
— white invert sugar solution,
— invert sugar syrup,
— white invert sugar syrup.

2.   

Definition

‘Dry matter content’: the content of dry matter as determined by the method specified.

3.   

Principle

The refractive index of a test portion is determined at 20
o
C and converted into dry matter content by reference to tables showing the concentration as a function of the refractive index.

4.   

Apparatus

4.1.
Refractometer,
accurate to four decimal places, provided with a thermometer and a water-circulation pump connected to a water-bath thermostatically controlled at 20 ± 0·5
o
C.
4.2.
Light source
consisting of a sodium vapour lamp.

5.   

Procedure

5.1.
If any crystals are present in the sample, redissolve them by diluting the sample in the ratio 1 : 1 (m/m).
5.2.
Measure the refractive index of the sample at 20
o
C in the refractometer (4.1).

6.   

Expression and calculation of results

6.1.
Calculate the dry matter content from the refractive indices for sucrose solutions at 20
o
C in the table given and correct for the presence of invert sugars by adding to the result obtained from the tables, 0.022 for every 1 % of invert sugar present in the sample as analyzed.
6.2.
If the sample was diluted to 1: 1 (m/m) with water, the calculated dry matter content must be multiplied by two.
6.3.
Repeatability
The difference between the results of two determinations when carried out simultaneously or in rapid succession on the same sample, by the same analyst, under the same conditions, shall not exceed 0·2 g dry matter per 100 g of sample.
REFERENCE TABLES
Refractive indices
(n) of sucrose solutions at 20
o
C

n

(20 oC)

Sucrose

(%)

1·3330

0·009

1·3331

0·078

1·3332

0·149

1·3333

0·218

1·3334

0·288

1·3335

0·358

1·3336

0·428

1·3337

0·498

1·3338

0·567

1·3339

0·637

1·3340

0·707

1·3341

0·776

1·3342

0·846

1·3343

0·915

1·3344

0·985

1·3345

1·054

1·3346

1·124

1·3347

1·193

1·3348

1·263

1·3349

1·332

1·3350

1·401

1·3351

1·470

1·3352

1·540

1·3353

1·609

1·3354

1·678

1·3355

1·747

1·3356

1·816

1·3357

1·885

1·3358

1·954

1·3359

2·023

1·3360

2·092

1·3361

2·161

1·3362

2·230

1·3363

2·299

1·3364

2·367

1·3365

2·436

1·3366

2·505

1·3367

2·574

1·3368

2·642

1·3369

2·711

1·3370

2·779

1·3371

2·848

1·3372

2·917

1·3373

2·985

1·3374

3·053

1·3375

3·122

1·3376

3·190

1·3377

3·259

1·3378

3·327

1·3379

3·395

1·3380

3·463

1·3381

3·532

1·3382

3·600

1·3383

3·668

1·3384

3·736

1·3385

3·804

1·3386

3·872

1·3387

3·940

1·3388

4·008

1·3389

4·076

1·3390

4·144

1·3391

4·212

1·3392

4·279

1·3393

4·347

1·3394

4·415

1·3395

4·483

1·3396

4·550

1·3397

4·618

1·3398

4·686

1·3399

4·753

1·3400

4·821

1·3401

4·888

1·3402

4·956

1·3403

5·023

1·3404

5·091

1·3405

5·158

1·3406

5·225

1·3407

5·293

1·3408

5·360

1·3409

5·427

1·3410

5·494

1·3411

5·562

1·3412

5·629

1·3413

5·696

1·3414

5·763

1·3415

5·830

1·3416

5·897

1·3417

5·964

1·3418

6·031

1·3419

6·098

1·3420

6·165

1·3421

6·231

1·3422

6·298

1·3423

6·365

1·3424

6·432

1·3425

6·498

1·3426

6·565

1·3427

6·632

1·3428

6·698

1·3429

6·765

1·3430

6·831

1·3431

6·898

1·3432

6·964

1·3433

7·031

1·3434

7·097

1·3435

7·1642

1·3436

7·230

1·3437

7·296

1·3438

7·362

1·3439

7·429

1·3440

7·495

1·3441

7·561

1·3442

7·627

1·3443

7·693

1·3444

7·759

1·3445

7·825

1·3446

7·891

1·3447

7·957

1·3448

8·023

1·3449

8·089

1·3450

8·155

1·3451

8·221

1·3452

8·287

1·3453

8·352

1·3454

8·418

1·3455

8·484

1·3456

8·550

1·3457

8·615

1·3458

8·681

1·3459

8·746

1·3460

8·812

1·3461

8·878

1·3462

8·943

1·3463

9·008

1·3464

9·074

1·3465

9·139

1·3466

9·205

1·3467

9·270

1·3468

9·335

1·3469

9·400

1·3470

9·466

1·3471

9·531

1·3472

9·596

1·3473

9·661

1·3474

9·726

1·3475

9·791

1·3476

9·856

1·3477

9·921

1·3478

9·986

1·3479

10·051

1·3480

10·116

1·3481

10·181

1·3482

10·246

1·3483

10·311

1·3484

10·375

1·3485

10·440

1·3486

10·505

1·3487

10·570

1·3488

10·634

1·3489

10·699

1·3490

10·763

1·3491

10·828

1·3492

10·892

1·3493

10·957

1·3494

11·021

1·3495

11·086

1·3496

11·150

1·3497

11·215

1·3498

11·279

1·3499

11·343

1·3500

11·407

1·3501

11·472

1·3502

11·536

1·3503

11·600

1·3504

11·664

1·3505

11·728

1·3506

11·792

1·3507

11·856

1·3508

11·920

1·3509

11·984

1·3510

12·048

1·3511

12·112

1·3512

12·176

1·3513

12·240

1·3514

12·304

1·3515

12·368

1·3516

12·431

1·3517

12·495

1·3518

12·559

1·3519

12·623

1·3520

12·686

1·3521

12·750

1·3522

12·813

1·3523

12·877

1·3524

12·940

1·3525

13·004

1·3526

13·067

1·3527

13·131

1·3528

13·194

1·3529

13·258

1·3530

13·321

1·3531

13·384

1·3532

13·448

1·3533

13·511

1·3534

13·574

1·3535

13·637

1·3536

13·700

1·3537

13·763

1·3538

13·826

1·3539

13·890

1·3540

13·953

1·3541

14·016

1·3542

14·079

1·3543

14·141

1·3544

14·204

1·3545

14·267

1·3546

14·330

1·3547

14·393

1·3548

14·456

1·3549

14·518

1·3550

14·581

1·3551

14·644

1·3552

14·707

1·3553

14·769

1·3554

14·832

1·3555

14·894

1·3556

14·957

1·3557

15·019

1·3558

15·082

1·3559

15·144

1·3560

15·207

1·3561

15·269

1·3562

15·332

1·3563

15·394

1·3564

15·456

1·3565

15·518

1·3566

15·581

1·3567

15·643

1·3568

15·705

1·3569

15·767

1·3570

15·829

1·3571

15·891

1·3572

15·953

1·3573

16016

1·3574

16·078

1·3575

16·140

1·3576

16·201

1·3577

16·263

1·3578

16·325

1·3579

16·387

1·3580

16·449

1·3581

16·511

1·3582

16·573

1·3583

16·634

1·3584

16·696

1·3585

16·758

1·3586

16·819

1·3587

16·881

1·3588

16·943

1·3589

17·004

1·3590

17·066

1·3591

17·127

1·3592

17·189

1·3593

17·250

1·3594

17·311

1·3595

17·373

1·3596

17·434

1·3597

17·496

1·3598

17·557

1·3599

17·618

1·3600

17·679

1·3601

17·741

1·3602

17·802

1·3603

17·863

1·3604

17·924

1·3605

17·985

1·3606

18·046

1·3607

18·107

1·3608

18·168

1·3609

18·229

1·3610

18·290

1·3611

18·351

1·3612

18·412

1·3613

18·473

1·3614

18·534

1·3615

18·595

1·3616

18·655

1·3617

18·716

1·3618

18·777

1·3619

18·837

1·3620

18·898

1·3621

18·959

1·3622

19·019

1·3623

19·080

1·3624

19·141

1·3625

19·201

1·3626

19·262

1·3627

19·322

1·3628

19·382

1·3629

19·443

1·3630

19·503

1·3631

19·564

1·3632

19·624

1·3633

19·684

1·3634

19·745

1·3635

19·805

1·3636

19·865

1·3637

19·925

1·3638

19·985

1·3639

20·045

1·3640

20·106

1·3641

20·166

1·3642

20·226

1·3643

20·286

1·3644

20·346

1·3645

20·406

1·3646

20·466

1·3647

20·525

1·3648

20·585

1·3649

20·645

1·3650

20·705

1·3651

20·765

1·3652

20·825

1·3653

20·884

1·3654

20·944

1·3655

21·004

1·3656

21·063

1·3657

21·123

1·3658

21·183

1·3659

21·242

1·3660

21·302

1·3661

21·361

1·3662

21·421

1·3663

21·480

1·3664

21·540

1·3665

21·599

1·3666

21·658

1·3667

21·718

1·3668

21·777

1·3669

21·836

1·3670

21·896

1·3671

21·955

1·3672

22·014

1·3673

22·073

1·3674

22·132

1·3675

22·192

1·3676

22·251

1·3677

22·310

1·3678

22·369

1·3679

22·428

1·3680

22·487

1·3681

22·546

1·3682

22·605

1·3683

22·664

1·3684

22·723

1·3685

22·781

1·3686

22·840

1·3687

22·899

1·3688

22·958

1·3689

23·017

1·3690

23·075

1·3691

23·134

1·3692

23·193

1·3693

23·251

1·3694

23·310

1·3695

23·369

1·3696

23·427

1·3697

23·486

1·3698

23·544

1·3699

23·603

1·3700

23·661

1·3701

23·720

1·3702

23·778

1·3703

23·836

1·3704

23·895

1·3705

23·953

1·3706

24·011

1·3707

24·070

1·3708

24·128

1·3709

24·186

1·3710

24·244

1·3711

24·302

1·3712

24·361

1·3713

24·419

1·3714

24·477

1·3715

24·535

1·3716

24·593

1·3717

24·651

1·3718

24·709

1·3719

24·767

1·3720

24·825

1·3721

24·883

1·3722

24·941

1·3723

24·998

1·3724

25·056

1·3725

25·114

1·3726

25·172

1·3727

25·230

1·3728

25·287

1·3729

25·345

1·3730

25·403

1·3731

25·460

1·3732

25·518

1·3733

25·576

1·3734

25·633

1·3735

25·691

1·3736

25·748

1·3737

25·806

1·3738

25·863

1·3739

25·921

1·3740

25·978

1·3741

26·035

1·3742

26·093

1·3743

26·150

1·3744

26·207

1·3745

26·265

1·3746

26·322

1·3747

26·379

1·3748

26·436

1·3749

26·493

1·3750

26·551

1·3751

26·608

1·3752

26·665

1·3753

26·722

1·3754

26·779

1·3755

26·836

1·3756

26·893

1·3757

26·950

1·3758

27·007

1·3759

27·064

1·3760

27·121

1·3761

27·178

1·3762

27·234

1·3763

27·291

1·3764

27·348

1·3765

27·405

1·3766

27·462

1·3767

27·518

1·3768

27·575

1·3769

27·632

1·3770

27·688

1·3771

27·745

1·3772

27·802

1·3773

27·858

1·3774

27·915

1·3775

27·971

1·3776

28·028

1·3777

28·084

1·3778

28·141

1·3779

28·197

1·3780

28·253

1·3781

28·310

1·3782

28·366

1·3783

28·422

1·3784

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1·3785

28·535

1·3786

28·591

1·3787

28·648

1·3788

28·704

1·3789

28·760

1·3790

28·816

1·3791

28·872

1·3792

28·928

1·3793

28·984

1·3794

29·040

1·3795

29·096

1·3796

29·152

1·3797

29·208

1·3798

29·264

1·3799

29·320

1·3800

29·376

1·3801

29·432

1·3802

29·488

1·3803

29·544

1·3804

29·600

1·3805

29·655

1·3806

29·711

1·3807

29·767

1·3808

29·823

1·3809

29·878

1·3810

29·934

1·3811

29·989

1·3812

30·045

1·3813

30·101

1·3814

30·156

1·3815

30·212

1·3816

30·267

1·3817

30·323

1·3818

30·378

1·3819

30·434

1·3820

30·489

1·3821

30·544

1·3822

30·600

1·3823

30·655

1·3824

30·711

1·3825

30·766

1·3826

30·821

1·3827

30·876

1·3828

30·932

1·3829

30·987

1·3830

31·042

1·3831

31·097

1·3832

31·152

1·3833

31·207

1·3834

31·262

1·3835

31·317

1·3836

31·372

1·3837

31·428

1·3838

31·482

1·3839

31·537

1·3840

31·592

1·3841

31·647

1·3842

31·702

1·3843

31·757

1·3844

31·812

1·3845

31·867

1·3846

31·922

1·3847

31·976

1·3848

32·031

1·3849

32·086

1·3850

32·140

1·3851

32·195

1·3852

32·250

1·3853

32·304

1·3854

32·359

1·3855

32·414

1·3856

32·468

1·3857

32·523

1·3858

32·577

1·3859

32·632

1·3860

32·686

1·3861

32·741

1·3862

32·795

1·3863

32·849

1·3864

32·904

1·3865

32·958

1·3866

33·013

1·3867

33·067

1·3868

33·121

1·3869

33·175

1·3870

33·230

1·3871

33·284

1·3872

33·338

1·3873

33·392

1·3874

33·446

1·3875

33·500

1·3876

33·555

1·3877

33·609

1·3878

33·663

1·3879

33·717

1·3880

33·771

1·3881

33·825

1·3882

33·879

1·3883

33·933

1·3884

33·987

1·3885

34·040

1·3886

34·094

1·3887

34·148

1·3888

34·202

1·3889

34·256

1·3890

34·310

1·3891

34·363

1·3892

34·417

1·3893

34·471

1·3894

34·524

1·3895

34·578

1·3896

34·632

1·3897

34·685

1·3898

34·739

1·3899

34·793

1·3900

34·846

1·3901

34·900

1·3902

34·953

1·3903

35·007

1·3904

35·060

1·3905

35·114

1·3906

35·167

1·3907

35·220

1·3908

35·274

1·3909

35·327

1·3910

35·380

1·3911

35·434

1·3912

35·487

1·3913

35·540

1·3914

35·593

1·3915

35·647

1·3916

35·700

1·3917

35·753

1·3918

35·806

1·3919

35·859

1·3920

35·912

1·3921

35·966

1·3922

36·019

1·3923

36·072

1·3924

36·125

1·3925

36·178

1·3926

36·231

1·3927

36·284

1·3928

36·337

1·3929

36·389

1·3930

36·442

1·3931

36·495

1·3932

36·548

1·3933

36·601

1·3934

36·654

1·3935

36·706

1·3936

36·759

1·3937

36·812

1·3938

36·865

1·3939

36·917

1·3940

36·970

1·3941

37·023

1·3942

37·075

1·3943

37·128

1·3944

37·180

1·3945

37·233

1·3946

37·286

1·3947

37·338

1·3948

37·391

1·3949

37·443

1·3950

37·495

1·3951

37·548

1·3952

37·600

1·3953

37·653

1·3954

37·705

1·3955

37·757

1·3956

37·810

1·3957

37·862

1·3958

37·914

1·3959

37·967

1·3960

38·019

1·3961

38·071

1·3962

38·123

1·3963

38·175

1·3964

38·228

1·3965

38·280

1·3966

38·332

1·3967

38·384

1·3968

38·436

1·3969

38·488

1·3970

38·540

1·3971

38·592

1·3972

38·644

1·3973

38·696

1·3974

38·748

1·3975

38·800

1·3976

38·852

1·3977

38·904

1·3978

38·955

1·3979

39·007

1·3980

39·059

1·3981

39·111

1·3982

39·163

1·3983

39·214

1·3984

39·266

1·3985

39·318

1·3986

39·370

1·3987

39·421

1·3988

39·473

1·3989

39·525

1·3990

39·576

1·3991

39·628

1·3992

39·679

1·3993

39·731

1·3994

39·782

1·3995

39·834

1·3996

39·885

1·3997

39·937

1·3998

39·988

1·3999

40·040

1·4000

40·091

1·4001

40·142

1·4002

40·194

1·4003

40·245

1·4004

40·296

1·4005

40·348

1·4006

40·399

1·4007

40·450

1·4008

40·501

1·4009

40·553

1·4010

40·604

1·4011

40·655

1·4012

40·706

1·4013

40·757

1·4014

40·808

1·4015

40·860

1·4016

40·911

1·4017

40·962

1·4018

41·013

1·4019

41·064

1·4020

41·115

1·4021

41·166

1·4022

41·217

1·4023

41·268

1·4024

41·318

1·4025

41·369

1·4026

41·420

1·4027

41·471

1·4028

41·522

1·4029

41·573

1·4030

41·623

1·4031

41·674

1·4032

41·725

1·4033

41·776

1·4034

41·826

1·4035

41·877

1·4036

41·928

1·4037

41·978

1·4038

42·029

1·4039

42·080

1·4040

42·130

1·4041

42·181

1·4042

42·231

1·4043

42·282

1·4044

42·332

1·4045

42·383

1·4046

42·433

1·4047

42·484

1·4048

42·534

1·4049

42·585

1·4050

42·635

1·4051

42·685

1·4052

42·736

1·4053

42·786

1·4054

42·836

1·4055

42·887

1·4056

42·937

1·4057

42·987

1·4058

43·037

1·4059

43·088

1·4060

43·138

1·4061

43·188

1·4062

43·238

1·4063

43·288

1·4064

43·338

1·4065

43·388

1·4066

43·439

1·4067

43·489

1·4068

43·539

1·4069

43·589

1·4070

43·639

1·4071

43·689

1·4072

43·739

1·4073

43·789

1·4074

43·838

1·4075

43·888

1·4076

43·938

1·4077

43·988

1·4078

44·038

1·4079

44·088

1·4080

44·138

1·4081

44·187

1·4082

44·237

1·4083

44·287

1·4084

44·337

1·4085

44·386

1·4086

44·436

1·4087

44·486

1·4088

44·535

1·4089

44·585

1·4090

44·635

1·4091

44·684

1·4092

44·734

1·4093

44·783

1·4094

44·833

1·4095

44·882

1·4096

44·932

1·4097

44·981

1·4098

45·031

1·4099

45·080

1·4100

45·130

1·4101

45·179

1·4102

45·228

1·4103

45·278

1·4104

45·327

1·4105

45·376

1·4106

45·426

1·4107

45·475

1·4108

45·524

1·4109

45·574

1·4110

45·623

1·4111

45·672

1·4112

45·721

1·4113

45·770

1·4114

45·820

1·4115

45·869

1·4116

45·918

1·4117

46·967

1·4118

46·016

1·4119

46·065

1·4120

46·114

1·4121

46·163

1·4122

46·212

1·4123

46·261

1·4124

46·310

1·4125

46·359

1·4126

46·408

1·4127

46·457

1·4128

46·506

1·4129

46·555

1·4130

46·604

1·4131

46·652

1·4132

46·701

1·4133

46·750

1·4134

46·799

1·4135

46·848

1·4136

46·896

1·4137

46·945

1·4138

46·994

1·4139

47·043

1·4140

47·091

1·4141

47·140

1·4142

47·188

1·4143

47·237

1·4144

47·286

1·4145

47·334

1·4146

47·383

1·4147

47·431

1·4148

47·480

1·4149

47·528

1·4150

47·577

1·4151

47·625

1·4152

47·674

1·4153

47·722

1·4154

47·771

1·4155

47·819

1·4156

47·868

1·4157

47·916

1·4158

47·964

1·4159

48·013

1·4160

48·061

1·4161

48·109

1·4162

48·158

1·4163

48·206

1·4164

48·254

1·4165

48·302

1·4166

48·350

1·4167

48·399

1·4168

48·447

1·4169

48·495

1·4170

48·543

1·4171

48·591

1·4172

48·639

1·4173

48·687

1·4174

48·735

1·4175

48·784

1·4176

48·832

1·4177

48·880

1·4178

48·928

1·4179

48·976

1·4180

49·023

1·4181

49·071

1·4182

49·119

1·4183

49·167

1·4184

49·215

1·4185

49·263

1·4186

49·311

1·4187

49·359

1·4188

49·407

1·4189

49·454

1·4190

49·502

1·4191

49·550

1·4192

49·598

1·4193

49·645

1·4194

49·693

1·4195

49·741

1·4196

49·788

1·4197

49·836

1·4198

49·884

1·4199

49·931

1·4200

49·979

1·4201

50·027

1·4202

50·074

1·4203

50·122

1·4204

50·169

1·4205

50·217

1·4206

50·264

1·4207

50·312

1·4208

50·359

1·4209

50·407

1·4210

50·454

1·4211

50·502

1·4212

50·549

1·4213

50·596

1·4214

50·644

1·4215

50·691

1·4216

50·738

1·4217

50·786

1·4218

50·833

1·4219

50·880

1·4220

50·928

1·4221

50·975

1·4222

51·022

1·4223

51·069

1·4224

51·116

1·4225

51·164

1·4226

51·211

1·4227

51·258

1·4228

51·305

1·4229

51·352

1·4230

51·399

1·4231

51·446

1·4232

51·493

1·4233

51·540

1·4234

51·587

1·4235

51·634

1·4236

51·681

1·4237

51·728

1·4238

51·775

1·4239

51·822

1·4240

51·869

1·4241

51·916

1·4242

51·963

1·4243

52·010

1·4244

52·057

1·4245

52·104

1·4246

52·150

1·4247

52·197

1·4248

52·244

1·4249

52·291

1·4250

52·338

1·4251

52·384

1·4252

52·431

1·4253

52·478

1·4254

52·524

1·4255

52·571

1·4256

52·618

1·4257

52·664

1·4258

52·711

1·4259

52·758

1·4260

52·804

1·4261

52·851

1·4262

52·897

1·4263

52·944

1·4264

52·990

1·4265

53·037

1·4266

53·083

1·4267

53·130

1·4268

53·176

1·4269

53·223

1·4270

53·269

1·4271

53·316

1·4272

53·362

1·4273

53·408

1·4274

53·455

1·4275

53·501

1·4276

53·548

1·4277

53·594

1·4278

53·640

1·4279

53·686

1·4280

53·733

1·4281

53·779

1·4282

53·825

1·4283

53·871

1·4284

53·918

1·4285

53·964

1·4286

54·010

1·4287

54·056

1·4288

54·102

1·4289

54·148

1·4290

54·194

1·4291

54·241

1·4292

54·287

1·4293

54·333

1·4294

54·379

1·4295

54·425

1·4296

54·471

1·4297

54·517

1·4298

54·563

1·4299

54·609

1·4300

54·655

1·4301

54·701

1·4302

54·746

1·4303

54·792

1·4304

54·838

1·4305

54·884

1·4306

54·930

1·4307

54·976

1·4308

55·022

1·4309

55·067

1·4310

55·113

1·4311

55·159

1·4312

55·205

1·4313

55·250

1·4314

55·296

1·4315

55·342

1·4316

55·388

1·4317

55·433

1·4318

55·479

1·4319

55·524

1·4320

55·570

1·4321

55·616

1·4322

55·661

1·4323

55·707

1·4324

55·752

1·4325

55·798

1·4326

55·844

1·4327

55·889

1·4328

55·935

1·4329

55·980

1·4330

56·026

1·4331

56·071

1·4332

56·116

1·4333

56·162

1·4334

56·207

1·4335

56·253

1·4336

56·298

1·4337

56·343

1·4338

56·389

1·4339

56·434

1·4340

56·479

1·4341

56·525

1·4342

56·570

1·4343

56·615

1·4344

56·660

1·4345

56·706

1·4346

56·751

1·4347

56·796

1·4348

56·841

1·4349

56·887

1·4350

56·932

1·4351

56·977

1·4352

57·022

1·4353

57·067

1·4354

57·112

1·4355

57·157

1·4356

57·202

1·4357

57·247

1·4358

57·292

1·4359

57·337

1·4360

57·382

1·4361

57·427

1·4362

57·472

1·4363

57·517

1·4364

57·562

1·4365

57·607

1·4366

57·652

1·4367

57·697

1·4368

57·742

1·4369

57·787

1·4370

57·832

1·4371

57·877

1·4372

57·921

1·4373

57·966

1·4374

58·011

1·4375

58·056

1·4376

58·101

1·4377

58·145

1·4378

58·190

1·4379

58·235

1·4380

58·279

1·4381

58·324

1·4382

58·369

1·4383

58·413

1·4384

58·458

1·4385

58·503

1·4386

58·547

1·4387

58·592

1·4388

58·637

1·4389

58·681

1·4390

58·726

1·4391

58·770

1·4392

58·815

1·4393

58·859

1·4394

58·904

1·4395

58·948

1·4396

58·993

1·4397

59·037

1·4398

59·082

1·4399

59·126

1·4400

59·170

1·4401

59·215

1·4402

59·259

1·4403

59·304

1·4404

59·348

1·4405

59·392

1·4406

59·437

1·4407

59·481

1·4408

59·525

1·4409

59·569

1·4410

59·614

1·4411

59·658

1·4412

59·702

1·4413

59·746

1·4414

59·791

1·4415

59·835

1·4416

59·879

1·4417

59·923

1·4418

59·967

1·4419

60·011

1·4420

60·056

1·4421

60·100

1·4422

60·144

1·4423

60·188

1·4424

60·232

1·4425

60·276

1·4426

60·320

1·4427

60·364

1·4428

60·408

1·4429

60·452

1·4430

60·496

1·4431

60·540

1·4432

60·584

1·4433

60·628

1·4434

60·672

1·4435

60·716

1·4436

60·759

1·4437

60·803

1·4438

60·847

1·4439

60·891

1·4440

60·935

1·4441

60·979

1·4442

61·023

1·4443

61·066

1·4444

61·110

1·4445

61·154

1·4446

61·198

1·4447

61·241

1·4448

61·285

1·4449

61·329

1·4450

61·372

1·4451

61·416

1·4452

61·460

1·4453

61·503

1·4454

61·547

1·4455

61·591

1·4456

61·634

1·4457

61·678

1·4458

61·721

1·4459

61·765

1·4460

61·809

1·4461

61·852

1·4462

61·896

1·4463

61·939

1·4464

61·983

1·4465

62·026

1·4466

62·070

1·4467

62·113

1·4468

62·156

1·4469

62·200

1·4470

62·243

1·4471

62·287

1·4472

62·330

1·4473

62·373

1·4474

62·417

1·4475

62·460

1·4476

62·503

1·4477

62·547

1·4478

62·590

1·4479

62·633

1·4480

62·677

1·4481

62·720

1·4482

62·763

1·4483

62·806

1·4484

62·849

1·4485

62·893

1·4486

62·936

1·4487

62·979

1·4488

63·022

1·4489

63·065

1·4490

63·108

1·4491

63·152

1·4492

63·195

1·4493

63·238

1·4494

63·281

1·4495

63·324

1·4496

63·367

1·4497

63·410

1·4498

63·453

1·4499

63·496

1·4500

63·539

1·4501

63·582

1·4502

63·625

1·4503

63·668

1·4504

63·711

1·4505

63·754

1·4506

63·797

1·4507

63·840

1·4508

63·882

1·4509

63·925

1·4510

63·968

1·4511

64·011

1·4512

64·054

1·4513

64·097

1·4514

64·139

1·4515

64·182

1·4516

64·225

1·4517

64·268

1·4518

64·311

1·4519

64·353

1·4520

64·396

1·4521

64·439

1·4522

64·481

1·4523

64·524

1·4524

64·567

1·4525

64·609

1·4526

64·652

1·4527

64·695

1·4528

64·737

1·4529

64·780

1·4530

64·823

1·4531

64·865

1·4532

64·908

1·4533

64·950

1·4534

64·993

1·4535

65·035

1·4536

65·078

1·4537

65·120

1·4538

65·163

1·4539

65·205

1·4540

65·248

1·4541

65·290

1·4542

65·333

1·4543

65·375

1·4544

65·417

1·4545

65·460

1·4546

65·502

1·4547

65·544

1·4548

65·587

1·4549

65·629

1·4550

65·672

1·4551

65·714

1·4552

65·756

1·4553

65·798

1·4554

65·841

1·4555

65·883

1·4556

65·925

1·4557

65·967

1·4558

66·010

1·4559

66·052

1·4560

66·094

1·4561

66·136

1·4562

66·178

1·4563

66·221

1·4564

66·263

1·4565

66·305

1·4566

66·347

1·4567

66·389

1·4568

66·431

1·4569

66·473

1·4570

66·515

1·4571

66·557

1·4572

66·599

1·4573

66·641

1·4574

66·683

1·4575

66·725

1·4576

66·767

1·4577

66·809

1·4578

66·851

1·4579

66·893

1·4580

66·935

1·4581

66·977

1·4582

67·019

1·4583

67·061

1·4584

67·103

1·4585

67·145

1·4586

67·186

1·4587

67·228

1·4588

67·270

1·4589

67·312

1·4590

67·354

1·4591

67·396

1·4592

67·437

1·4593

67·479

1·4594

67·521

1·4595

67·563

1·4596

67·604

1·4597

67·646

1·4598

67·688

1·4599

67·729

1·4600

67·771

1·4601

67·813

1·4602

67·854

1·4603

67·896

1·4604

67·938

1·4605

67·979

1·4606

68·021

1·4607

68·063

1·4608

68·104

1·4609

68·146

1·4610

68·187

1·4611

68·229

1·4612

68·270

1·4613

68·312

1·4614

68·353

1·4615

68·395

1·4616

68·436

1·4617

68·478

1·4618

68·519

1·4619

68·561

1·4620

68·602

1·4621

68·643

1·4622

68·685

1·4623

68·726

1·4624

68·768

1·4625

68·809

1·4626

68·850

1·4627

68·892

1·4628

68·933

1·4629

68·974

1·4630

69·016

1·4631

69·057

1·4632

69·098

1·4633

69·139

1·4634

69·181

1·4635

69·222

1·4636

69·263

1·4637

69·304

1·4638

69·346

1·4639

69·387

1·4640

69·428

1·4641

69·469

1·4642

69·510

1·4643

69·551

1·4644

69·593

1·4645

69·634

1·4646

69·675

1·4647

69·716

1·4648

69·757

1·4649

69·798

1·4650

69·839

1·4651

69·880

1·4652

69·921

1·4653

69·962

1·4654

70·003

1·4655

70·044

1·4656

70·085

1·4657

70·126

1·4658

70·167

1·4659

70·208

1·4660

70·249

1·4661

70·290

1·4662

70·331

1·4663

70·372

1·4664

70·413

1·4665

70·453

1·4666

70·494

1·4667

70·535

1·4668

70·576

1·4669

70·617

1·4670

70·658

1·4671

70·698

1·4672

70·739

1·4673

70·780

1·4674

70·821

1·4675

70·861

1·4676

70·902

1·4677

70·943

1·4678

70·984

1·4679

71·024

1·4680

71·065

1·4681

71·106

1·4682

71·146

1·4683

71·187

1·4684

71·228

1·4685

71·268

1·4686

71·309

1·4687

71·349

1·4688

71·390

1·4689

71·431

1·4690

71·471

1·4691

71·512

1·4692

71·552

1·4693

71·593

1·4694

71·633

1·4695

71·674

1·4696

71·714

1·4697

71·755

1·4698

71·795

1·4699

71·836

1·4700

71·876

1·4701

71·917

1·4702

71·957

1·4703

71·998

1·4704

72·038

1·4705

72·078

1·4706

72·119

1·4707

72·159

1·4708

72·199

1·4709

72·240

1·4710

72·280

1·4711

72·320

1·4712

72·361

1·4713

72·401

1·4714

72·441

1·4715

72·482

1·4716

72·522

1·4717

72·562

1·4718

72·602

1·4719

72·643

1·4720

72·683

1·4721

72·723

1·4722

72·763

1·4723

72·803

1·4724

72·843

1·4725

72·884

1·4726

72·924

1·4727

72·964

1·4728

73·004

1·4729

73·044

1·4730

73·084

1·4731

73·124

1·4732

73·164

1·4733

73·204

1·4734

73·244

1·4735

73·285

1·4736

73·325

1·4737

73·365

1·4738

73·405

1·4739

73·445

1·4740

73·485

1·4741

73·524

1·4742

73·564

1·4743

73·604

1·4744

73·644

1·4745

73·684

1·4746

73·724

1·4747

73·764

1·4748

73·804

1·4749

73·844

1·4750

73·884

1·4751

73·924

1·4752

73·963

1·4753

74·003

1·4754

74·043

1·4755

74·083

1·4756

74·123

1·4757

74·162

1·4758

74·202

1·4759

74·242

1·4760

74·282

1·4761

74·321

1·4762

74·361

1·4763

74·401

1·4764

74·441

1·4765

74·480

1·4766

74·520

1·4767

74·560

1·4768

74·599

1·4769

74·639

1·4770

74·678

1·4771

74·718

1·4772

74·758

1·4773

74·797

1·4774

74·837

1·4775

74·876

1·4776

74·916

1·4777

74·956

1·4778

74·995

1·4779

75·035

1·4780

75·074

1·4781

75·114

1·4782

75·153

1·4783

75·193

1·4784

75·232

1·4785

75·272

1·4786

75·311

1·4787

75·350

1·4788

75·390

1·4789

75429

1·4790

75469

1·4791

75·508

1·4792

75·547

1·4793

75·587

1·4794

75·626

1·4795

75·666

1·4796

75·705

1·4797

75·744

1·4798

75·784

1·4799

75·823

1·4800

75·862

1·4801

75·901

1·4802

75·941

1·4803

75·980

1·4804

76·019

1·4805

76·058

1·4806

76·098

1·4807

76·137

1·4808

76·176

1·4809

76·215

1·4810

76·254

1·4811

76·294

1·4812

76·333

1·4813

76·372

1·4814

76·411

1·4815

76·450

1·4816

76·489

1·4817

76·528

1·4818

76·567

1·4819

76·607

1·4820

76·646

1·4821

76·685

1·4822

76·724

1·4823

76·763

1·4824

76·802

1·4825

76·841

1·4826

76·880

1·4827

76·919

1·4828

76·958

1·4829

76·997

1·4830

77·036

1·4831

77·075

1·4832

77·113

1·4833

77·152

1·4834

77·191

1·4835

77·230

1·4836

77·269

1·4837

77·308

1·4838

77·347

1·4839

77·386

1·4840

77·425

1·4841

77·463

1·4842

77·502

1·4843

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1·4844

77·580

1·4845

77·619

1·4846

77·657

1·4847

77·696

1·4848

77·735

1·4849

77·774

1·4850

77·812

1·4851

77·851

1·4852

77·890

1·4853

77·928

1·4854

77·967

1·4855

78·006

1·4856

78·045

1·4857

78·083

1·4858

78·122

1·4859

78·160

1·4860

78·199

1·4861

78·238

1·4862

78·276

1·4863

78·315

1·4864

78·353

1·4865

78·392

1·4866

78·431

1·4867

78·469

1·4868

78·508

1·4869

78·546

1·4870

78·585

1·4871

78·623

1·4872

78·662

1·4873

78·700

1·4874

78·739

1·4875

78·777

1·4876

78·816

1·4877

78·854

1·4878

78·892

1·4879

78·931

1·4880

78·969

1·4881

79·008

1·4882

79·046

1·4883

79·084

1·4884

79·123

1·4885

79·161

1·4886

79·199

1·4887

79·238

1·4888

79·276

1·4889

79·314

1·4890

79·353

1·4891

79·391

1·4892

79·429

1·4893

79·468

1·4894

79·506

1·4895

79·544

1·4896

79·582

1·4897

79·620

1·4898

79·659

1·4899

79·697

1·4900

79·735

1·4901

79·773

1·4902

79·811

1·4903

79·850

1·4904

79·888

1·4905

79·926

1·4906

79·964

1·4907

80·002

1·4908

80·040

1·4909

80·078

1·4910

80·116

1·4911

80·154

1·4912

80·192

1·4913

80·231

1·4914

80·269

1·4915

80·307

1·4916

80·345

1·4917

80·383

1·4918

80·421

1·4919

80·459

1·4920

80·497

1·4921

80·534

1·4922

80·572

1·4923

80·610

1·4924

80·648

1·4925

80·686

1·4926

80·724

1·4927

80·762

1·4928

80·800

1·4929

80·838

1·4930

80·876

1·4931

80·913

1·4932

80·951

1·4933

80·989

1·4934

81·027

1·4935

81·065

1·4936

81·103

1·4937

81·140

1·4938

81·178

1·4939

81·216

1·4940

81·254

1·4941

81·291

1·4942

81·329

1·4943

81·367

1·4944

81·405

1·4945

81·442

1·4946

81·480

1·4947

81·518

1·4948

81·555

1·4949

81·593

1·4950

81·631

1·4951

81·668

1·4952

81·706

1·5953

81·744

1·4954

81·781

1·4955

81·819

1·4956

81·856

1·4957

81·894

1·4958

81·932

1·4959

81·969

1·4960

82·007

1·4961

82·044

1·4962

82·082

1·4963

82·119

1·4964

82·157

1·4965

82·194

1·4966

82·232

1·4967

82·269

1·4968

82·307

1·4969

82·344

1·4970

82·381

1·4971

82·419

1·4972

82·456

1·4973

82·494

1·4974

82·531

1·4975

82·569

1·4976

82·606

1·4977

82·643

1·4978

82·681

1·4979

82·718

1·4980

82·755

1·4981

82·793

1·4982

82·830

1·4983

82·867

1·4984

82·905

1·4985

82·942

1·4986

82·979

1·4987

83·016

1·4988

83·054

1·4989

83·091

1·4990

83·128

1·4991

83·165

1·4992

83·202

1·4993

83·240

1·4994

83·277

1·4995

83·314

1·4996

83·351

1·4997

83·388

1·4998

83·425

1·4999

83·463

1·5000

83·500

1·5001

83·537

1·5002

83·574

1·5003

83·611

1·5004

83·648

1·5005

83·685

1·5006

83·722

1·5007

83·759

1·5008

83·796

1·5009

83·833

1·5010

83·870

1·5011

83·907

1·5012

83·944

1·5013

83·981

1·5014

84·018

1·5015

84·055

1·5016

84·092

1·5017

84·129

1·5018

84·166

1·5019

84·203

1·5020

84·240

1·5021

84·277

1·5022

84·314

1·5023

84·351

1·5024

84·388

1·5025

84·424

1·5026

84·461

1·5027

84·498

1·5028

84·535

1·5029

84·572

1·5030

84·609

1·5031

84·645

1·5032

84·682

1·5033

84·719

1·5034

84·756

1·5035

84·792

1·5036

84·829

1·5037

84·866

1·5038

84·903

1·5039

84·939

1·5040

84·976

1·5041

85·013

1·5042

85·049

1·5043

85·086

1·5044

85·123

1·5045

85·159

1·5046

85·196

1·5047

85·233

1·5048

85·269

1·5049

85·306

1·5050

85·343

1·5051

85·379

1·5052

85·416

1·5053

85·452

1·5054

85·489

1·5055

85·525

1·5056

85·562

1·5057

85·598

1·5058

85·635

1·5059

85·672

1·5060

85·708

1·5061

85·744

1·5062

85·781

1·5063

85·817

1·5064

85·854

1·5065

85·890

1·5066

85·927

1·5067

85·963

1·5068

86·000

1·5069

86·036

1·5070

86·072

1·5071

86·109

1·5072

86·145

1·5073

86·182

1·5074

86·218

1·5075

86·254

1·5076

86·291

1·5077

86·327

1·5078

86·363

1·5079

86·399

METHOD 4

MEASUREMENT OF REDUCING SUGARS EXPRESSED AS INVERT SUGARS

(Berlin Institute method)

Scope and field of application

1.
The method determines the reducing sugar content expressed as invert sugar in semi-white sugar.

2.   

Definitions

‘Reducing sugars expressed as invert sugar’: the content of reducing sugars as determined by the method specified.

3.   

Principle

The sample solution containing reducing sugars is used to reduce a solution of copper II complex. The copper I oxide formed is then oxidized with standard iodine solution, the excess of which is determined by back-titration with standardized sodium thiosulphate solution.

4.   

Reagents

4.1.
Copper II solution
(Muller's solution)
4.1.1.
Dissolve 35 g of copper II sulphate, pentahydrate (CuSO
4
.5H
2
O) in 400 ml of boiling water. Allow to cool.
4.1.2.
Dissolve 173 g of sodium potassium tartrate tetrahydrate (Rochelle salt or Seignette salt; KNaC
4
H
4
O
6
4H
2
O) and 68 g of anhydrous sodium carbonate in 500 ml of boiling water. Allow to cool.
4.1.3.
Transfer both solutions (4.1.1 and 4.1.2) to a one litre volumetric flask and make up to one litre with water. Add 2 g of activated carbon, shake, allow to stand for several hours and filter through thick filter paper or a membrane filter.
If small amounts of copper I oxide appear during storage, the solution should be re-filtered.
4.2.
Acetic acid solution
5 mol/litre.
4.3.
I
odine solution
0·01665 mol/litre (i.e. 0·0333 N, 4·2258 g/litre).
4.4.
Sodium thiosulphate solution
0·0333 mol/litre.
4.5.
Starch solution:
to one litre of boiling water add a mixture of 5 g of soluble starch slurried in 30 ml of water. Boil for three minutes, allow to cool and add, if required, 10 mg of mercury II iodide as a preservative.

5.   

Apparatus

5.1.
Conical flask,
300 ml; precision burettes and pipettes.
5.2.
Water-bath,
boiling.

6.   

Procedure

6.1.
Weigh a portion of the sample (10 g or less) containing not more than 30 mg of invert sugar in a 300 ml conical flask and dissolve in about 100 ml of water.
Pipette 10 ml of the copper II solution (4.1), into the flask containing the sample solution. Mix the contents of the flask by swirling and place it in the boiling water-bath (5.2) for exactly 10 minutes.
The level of the solution in the conical flask should be at least 20 mm below the level of the water in the water-bath. Cool the flask rapidly in a stream of cold running water. During this operation the solution should not be stirred otherwise atmospheric oxygen will reoxidize some precipitated copper I oxide.
Add 5 ml of 5 mol/litre acetic acid (4.2) by pipette without shaking and immediately add an excess (between 20 and 40 ml) of the iodine solution 0.01665 mol/litre (4.3) from a burette.
Stir to dissolve the copper precipitate. Titrate the excess iodine against the sodium thiosulphate solution 0·0333 mol/litre (4.4) using the starch solution (4.5) as indicator. The indicator is added towards the end of the titration.
6.2.
Carry out a blank test with water. This is to be carried out with each new copper II solution (4.4). The titration shall not exceed 0·1 ml.
6.3.
Carry out a control test under cold conditions with the sugar solution. Allow to stand at room temperature for 10 minutes to permit any reducing agents such as sulphur dioxide which may by present to react.

7.   

Expression of results.

7.1.   

Formula and method of calculation

Volume of iodine consumed = ml 0·01665 mol/litre iodine added in excess minus ml 0·0333 mol/litre sodium thiosulphate used in titration.
The volume (in ml) of 0·01665 ml/litre iodine consumed is corrected by subtracting:
7.1.1.
The number of ml consumed in the blank test carried out with water (6.2).
7.1.2.
The number of ml consumed in the cold test with the sugar solution (6.3).
7.1.3.
A value of 2·0 ml for every 10 g of sucrose present in the aliquot used, or a proportionate quantity where the sample contains less than 10 g sucrose (correction for sucrose).
After these corrections are made each ml of iodine solution (4.3) which has reacted corresponds to 1 mg of of invert sugar.
The invert sugar contents, as a percentage of the sample, is given by the formula:
[Bild bitte in Originalquelle ansehen]
where:
V
1
=
the number of ml of iodine solution (4.3) after correction,
m
o
=
the mass, in grams, of the sample used.

7.2.   

Repeatability

The difference between the results of two determinations when carried out simultaneously or in rapid succession on the same sample, by the same analyst, under the same conditions, shall not exceed 0·02 g per 100 g of sample.

METHOD 5

MEASUREMENT OF REDUCING SUGARS EXPRESSED AS INVERT SUGAR

(Knight and Allen method)

1.   

Scope and field of application

The method determines the reducing sugar content expressed as invert sugar in:
— sugar or white sugar,
— extra white sugar.

2.   

Definition

‘Reducing sugars expressed as invert sugar’: the content of reducing sugars as determined by the method specified.

3.   

Principle

Copper II reagent is added in excess to the sample solution, reduced and the unreduced portion is back-titrated with EDTA solution.

4.   

Reagents

4.1.
Ethylene diamine tetra-acetic acid solution
(disodium salt) (EDTA) 0·0025 mol/litre: dissolve 0·930 g of EDTA in water and make up to one litre with water.
4.2.
Murexide indicator solution:
add 0·25 g of murexide to 50 ml of water and mix with 20 ml of a 0·2 g /100 ml aqueous solution of methylene blue.
4.3.
Alkaline copper reagent:
dissolve 25 g of anhydrous sodium carbonate and 25 g of potassium sodium tartrate tetrahydrate in about 600 ml of water containing 40 ml of 1.0 mol/litre sodium hydroxide. Dissolve 6·0 g of copper II sulphate pentahydrate (CuSO
4
.5H
2
O) in about 100 ml of water, and add to the tartrate solution. Dilute to one litre with water.
N.B.:
the solution has a limited life (one week).
4.4.
Standard invert sugar solution:
dissolve 23·750 g of pure sucrose (4.5) in about 120 ml of water in a 250 ml graduated flask, add 9 ml of hydrochloric acid (ζ = 1·16) and allow to stand for eight days at room temperature. Make the solution up to 250 ml and check for completion of hydrolysis by a polarimeter or saccharimeter reading in a 200 mm tube. This should be - 11·80
o
± 0·05
o
S (see Note 8). Pipette 200 ml of this solution into a 2 000 ml graduated flask. Dilute with water and while shaking (to avoid excessive local alkalinity) add 71·4 ml of sodium hydroxide solution (1 mol/litre) in which 4 g of benzoic acid has been dissolved. Make up to 2 000 ml to give a 1 g/100 ml solution of invert sugar. This solution should be approximately pH 3.
This stable stock solution should only be diluted immediately before use.
4.5.
Pure sucrose:
sample of pure sucrose with an invert sugar content not greater than 0·001 g/100 g.

5.   

Apparatus

5.1.
Test tubes,
150 x 20 mm.
5.2.
White porcelain dish.
5.3.
Analytical balance,
accurate to within 0·1 mg.

6.   

Procedure

6.1.
Dissolve 5 g of sugar sample in 5 ml of cold water in the test tube (5.1). Add 2·0 ml of the copper reagent (4.3) and mix. Immerse the tube in a boiling water bath for five minutes and then cool in cold water.
6.2.
Transfer quantitatively the solution in the test tube to the white porcelain dish (5.2) using as little water as possible, add three drops of indicator (4.2) and titrate with EDTA solution (4.1). V
o
is the number of ml of EDTA used in the titration.
Just before the end-point the colour of the solution changes from green through grey to purple at the end-point. The purple colour will disappear slowly because of oxidation of copper I oxide to copper II oxide at a rate dependent on the concentration of reduced copper present. The end-point of the titration shall therefore be approached fairly rapidly.
6.3.
Construct a calibration graph by adding known amounts of invert sugar (as solution 4.4 appropriately diluted) to 5 g of pure sucrose (4.5) and add sufficient cold water so that a total of 5 ml of solution is added. Plot the titration volumes (in ml) against the percentage of invert sugar added to the 5 g of sucrose: the resultant graph is a straight line over the range 0·001 to 0·019 g/100 g invert sugar/100 g sample.

7.   

Expression of results

7.1.
Method of calculation
Read on the calibration curve the percentage of invert sugar corresponding to the value V
o
ml of EDTA determined when analyzing the sample.
7.2.
When a concentration greater than 0·017 g invert sugar/100 g sample is expected in the sample to be analyzed, the sample size taken in Procedure (6.1) must be appropriately reduced but the analysis sample made up to 5 g with pure sucrose (4.5).
7.3.
Repeatability
The difference between the results of two determinations when carried out simultaneously or in rapid succession on the same sample, by the same, analyst, under the same conditions, shall not exceed 0·005 g per 100 g of sample.

8.   

Note

Divide by 2·889 to convert
o
S to polarmetric degrees of arc (precision tubes of 200 mm; light source consisting of a sodium vapour lamp; the instrument must be installed in a room where the temperature may be maintained close to 20
o
C).

METHOD 6

DETERMINATION OF REDUCING SUGARS EXPRESSED AS INVERT SUGAR OR DEXTROSE EQUIVALENT

(Luff-Schoorl method)

1.   

Scope and field of application

The method determines:
1.1.
The reducing sugars content expressed as invert sugar in:
— sugar solution,
— white sugar solution,
— invert sugar solution,
— white invert sugar solution,
— invert sugar syrup,
— white invert sugar syrup.
1.2.
The reducing sugar content, expressed and calculated (on the dry matter) as the dextrose equivalent in:
— glucose syrup,
— dried glucose syrup
1.3.
The reducing sugar content expressed as D-glucose in:
— dextrose monohydrate,
— dextrose anhydrous

2.   

Definition

‘Reducing sugars expressed as invert sugars, D-glucose or dextrose equivalent’: the content of reducing sugars expressed or calculated as invert sugar, D-glucose or dextrose equivalent as determined by the method specified.

3.   

Principle

The reducing sugars in the sample (clarified if necessary) are heated to boiling point under standardized conditions with a copper II solution, which is partially reduced to copper I. The excess copper II is subsequently determined iodometrically.

4.   

Reagents

4.1.
Carrez solution I:
dissolve 21·95 g of zinc acetate dihydrate (Zn(CH
3
COO)
2
.2H
2
O) (or 24 g of zinc acetate trihydrate (Zn(CH
3
COO)
2
.3H
2
O) and 3 ml of glacial acetic acid in water and make up to 100 ml with water.
4.2.
Carrez solution II:
dissolve 10·6 g of potassium hexacyanoferrate IT trihydrate K
4
[Fe(CN)
6
]. 3H
2
O in water and make up to 100 ml with water.
4.3.
Luff-Schoorl reagent:
prepare the following solutions:
4.3.1.
Copper II sulphate solution: dissolve 25 g of iron-free copper II sulphate pentahydrate (CuSO
4
.5H
2
O) in 100 ml water.
4.3.2.
Citric acid solution: dissolve 50 g of citric acid monohydrate (C
6
H
8
O
7
.H
2
O) in 50 ml of water.
4.3.3.
Sodium carbonate solution: dissolve 143.8 g of anhydrous sodium carbonate in about 300 ml of warm water and allow to cool.
4.3.4.
Add the citric acid solution (4.3.2) to the sodium carbonate solution (4.3.3) in a one litre volumetric flask with gentle swirling. Swirl until effervescence ceases and then add the copper II sulphate solution (4.3.1) and make up to 1 000 ml with water. Allow the solution to stand overnight and then filter if necessary. Check the molarity of the reagent thus obtained by the method described in 6.1 (Cu 0·1 mol/litre; Na
2
CO
3
1 mol/litre).
4.4.
Sodium thiosulphate solution,
0·1 mol/litre.
4.5.
Starch solution:
to one litre of boiling water add a mixture of 5 g of soluble starch slurried in 30 ml of water. Boil for three minutes, allow to cool and add, if required, 10 mg of mercury II iodide as a preservative.
4.6.
Sulphuric acid,
3 mol/litre.
4.7.
Potassium iodide solution,
30% (m/v).
4.8.
Pumice chips,
boiled in hydrochloric acid, washed free of acid with water and then dried.
4.9.
Isopentanol
4.10.
Sodium hydroxide,
0·1 mol/litre.
4.11.
Hydrochlorie acid,
0·1 mol/litre.
4.12.
Phenolphthalein solution,
1% (m/v) in ethanol.

5.   

Apparatus

5.1.
Conical flask,
300 ml, fitted with a reflux condenser.
5.2.
Stop-watch.

6.   

Procedure

6.1.
Standardization of the Luff-Schoorl reagent
(4.3)
6.1.1.
To 25 ml of Luff-Schoorl reagent (4.3) add 3 g of potassium iodide and 25 ml of 3 mol/litre sulphuric acid (4.6).
Titrate with 0·1 mol/litre sodium thiosulphate (4.4) using starch solution (4.5) as indicator added towards the end of the titration. If the volume of 0·1 mol/litre sodium thiosulphate used is not 25 ml the reagent must be made up afresh.
6.1.2.
Pipette 10 ml of the reagent into a 100 ml volumetric flask and dilute to volume with water.
Pipette 10 ml of the diluted reagent into 25 ml of 0·1 mol/litre hydrochloric acid (4.11) in a conical flask and heat for one hour in a boiling water-bath. Cool, make up to the original volume with freshly boiled water and titrate with 0·1 mol/litre sodium hydroxide (4.10) using phenolphthalein (4.12) as indicator.
The volume of 0·1 mol/litre sodium hydroxide (4.10) used must be between 5·5 and 6·5 ml.
6.1.3.
Titrate 10 ml of the diluted reagent (6.1.2) with 0·1 mol/litre hydrochloric acid (4.11) using phenolphthalein (4.12) as indicator. The end-point is characterized by the disappearance of the violet colour.
The volume of 0·1 mol/litre hydrochloric acid (4.11) used must be between 6·0 and 7·5 ml.
6.1.4.
The pH of the Luff-Schoorl reagent must be between 9·3 and 9·4 at 20
o
C.
6.2.
Preparation of the solution
6.2.1.
Accurately weigh, to the nearest 1 mg, 5 g of the sample and transfer quantitatively to a 250 ml volumetric flask, with 200 ml water. Clarify, if necessary, by adding 5 ml of Carrez solution I (4.1) followed by 5 ml of Carrez solution II (4.2). Mix after each addition. Make up to 250 ml with water. Mix well. Filter if necessary.
6.2.2.
Dilute the solution (6.2.1) so that 25 ml of the solution contains not less than 15 mg and not more than 60 mg of reducing sugars expressed as glucose.
6.3.
Titration by the Luff-Schoorl method
Pipette 25 ml of Luff-Schoorl reagent (4.3) into a 300 ml conical flask (5.1). Pipette 25 ml of the sugar solution (6.2.2) into the conical flask and introduce two pumice chips (4.8). Fit a reflux condenser to the conical flask (5.1) and immediately place the apparatus on an asbestos wire gauze over a Bunsen flame. The gauze shall have a hole cut in the asbestos part of the same diameter as the base of the flask. Heat the liquid to boiling point over a period of about two minutes and simmer gently for exactly 10 minutes. Cool immediately in cold water and after five minutes titrate as follows:
Add 10 ml of potassium iodide solution (4.7) then immediately add with caution (because of effervescence) 25 ml of 3 mol/litre sulphuric acid (4.6). Titrate with 01 mol/litre sodium thiosulphate solution (4.4) until the solution is almost colourless, then add a few ml of starch solution (4.5) as indicator and continue titrating until the blue colour disappears.
Carry out a control test, using 25 ml of water in place of the 25 ml of sugar solution (6.2.2).

7.   

Expression of results

7.1.   

Formula and method of calculation

From the table below, find (interpolating if necessary) the weight of glucose or of invert sugar in mg corresponding to the difference between the two titration readings, expressed in ml of 0·1 mol/litre sodium thiosulphate.
Express the result in terms of invert sugar or D-glucose as percentage (m/m) of the dry matter.

7.2.   

Repeatability

The difference between the results of two titrations when carried out simultaneously or in rapid succession on the same sample by the same analyst, under the same conditions, shall not exceed 0·2 ml.

8.   

Note

A small volume of isopentanol (4·9) may be added before acidifying with sulphuric acid to reduce foaming.
Table of values according to Luff-Schoorl reagent

0·1 mol/litre Na2S2O3

Glucose, fructose, invert sugars C6H12O6

ml

mg

difference

1

2·4

 

2

4·8

2·4

3

7·2

2·4

4

9·7

2·5

5

12·2

2·5

6

14·7

2·5

7

17·2

2·5

8

19·8

2·6

9

22·4

2·6

10

25·0

2·6

11

27·6

2·6

12

30·3

2·7

13

33·0

2·7

14

35·7

2·7

15

38·5

2·8

16

41·3

2·8

17

44·2

2·9

18

47·1

2·9

19

50·0

2·9

20

53·0

3·0

21

56·0

3·0

22

59·1

3·1

23

62·2

3·1

METHOD 7

MEASUREMENT OF REDUCING SUGARS EXPRESSED AS INVERT SUGAR

(Lane and Eynon constant volume modification)

1.   

Scope and field of application

The method determines the reducing sugars, expressed as invert sugar, in:
— sugar solution,
— white sugar solution,
— invert sugar solution,
— white invert sugar solution,
— invert sugar syrup,
— white invert sugar syrup.

2.   

Definition

‘Reducing sugars expressed as invert sugar’: the content of reducing sugars as determined by the method specified.

3.   

Principle

The sample solution is titrated at the boiling point against a specified volume of Fehling's solution, using methylene blue as internal indicator.

4.   

Reagents

4.1.
Fehling's solution:
4.1.1.
Solution A:
Dissolve 69·3 g of copper II sulphate pentahydrate (CuSO
4
.5H
2O)
in water and make up to 1 000 ml.
4.1.2.
Solution B:
Dissolve 346·0 g of double sodium potassium tartrate tetrahydrate (KNaC
4
H
4
O
6
.4H
2
O) with 100·0 g of sodium hydroxide in water and make up to 1 000 ml. The clear solution should be decanted from a sediment that may form from time to time.
Note:
These two solutions should be stored in brown or amber bottles.
4.2.
Sodium hydroxide solution,
1 mol/litre.
4.3.
Standard invert sugar solution:
dissolve 23·750 g of pure sucrose in about 120 ml of water in a 250 ml graduated flask, add 9 ml of hydrochloric acid (ζ = 1·16) and allow to stand for eight days at room temperature. Make the solution up to 250 ml and check for completion of hydrolysis by a polarimeter or saccharimeter reading in a 200 mm tube. This should be - 11·80
o
± 0·05
o
S (see note 8). Pipette 200 ml of this solution into a 2 000 ml graduated flask. Dilute with water and while shaking (to avoid excessive local alkalinity) add 71·4 ml of sodium hydroxide solution (1 mol/litre) (4.2) in which 4 g of benzoic acid has been dissolved. Make up to 2 000 ml to give a 1 g/100 ml solution of invert sugar. This solution should be a pH of approximately 3.
This stable stock solution should only be diluted immediately before use.
To make up the 0·25 g/100 ml invert sugar solution, fill a 250 ml graduated flask to the mark with the stock 1 g/100 ml invert solution at 20
o
C. Wash the contents of this flask into a 1 000 ml graduated flask and dilute to the mark with water again at 20
o
C.
4.4.
Methylene blue solution,
1 g/100 ml.

5.   

Apparatus

5.1.
Narrow-necked laboratory boiling flasks,
500 ml.
5.2.
Burette,
50 ml, with tap and offset tip, graduated to 0·05 ml.
5.3.
Pipettes
graduated at 20, 25 and 50 ml.
5.4.
One mark volumetric flasks,
250, 1 000 and 2 000 ml.
5.5.
A heating device,
suitable for maintaining boiling according to the conditions described in 6.1, permitting the observation of the end-point colour change without the necessity of removing the boiling flask (5.1) from the source of heat.
5.6.
Stop-watch,
indicating to within at least one second.

6.   

Procedure

6.1.   

Standardization of Fehling's solution

6.1.1.
Pipette 50 ml of solution B (4.1.2) and then 50 ml of solution A (4.1.1) into a clean dry beaker and mix well.
6.1.2.
Rinse and fill the burette with 0·25 % (0·25 g/100 ml) standard invert sugar solution (4.3).
6.1.3.
Pipette a 20 ml aliquot of the mixed solutions A and B (6.1.1) into a 500 ml boiling flask (5.1). Add 15 ml of water to the flask. Run in, from the burette, 39 ml of the invert sugar solution, add a small quantity of anti-bumping granules and mix the contents of the flask by gentle swirling.
6.1.4.
Heat the flask and contents till boiling and allow to boil for exactly two minutes; the flask must not be removed from the heat source during the course of the rest of the procedure, or allowed to cease boiling.
Add three or four drops of methylene blue solution (4.4) at the end of the two-minute boiling period: the solution should be a definite blue colour.
6.1.5.
Continue the standardization by adding, from the burette, the standard invert sugar solution in small increments, initially of 0·2 ml; then 0·1 ml and finally in single drops until the end-point is reached. This is indicated by the disappearance of the blue colour imparted by the methylene blue. The solution has then assumed the reddish colour associated with a suspension of copper I oxide.
6.1.6.
The end-point should be reached at the end of three minutes from when the solution started to boil. The final titre, V
o
, shall be between 39·0 and 41·0 ml. If V
o
lies outside these limits, adjust the copper concentration of Fehling's solution A (4.1.1) and repeat the standardization process.

6.2.   

Preparation of sample solutions

The concentration of the sample test solution should be such that it contains between 250 and 400 mg invert sugar per 100 ml.

6.3.   

Preliminary test

6.3.1.
A preliminary test must be carried out to ensure that the quantity of water to be added to the 20 ml of mixed solutions A and B is sufficient to ensure that a final volume after titration of 75 ml is obtained.
The same procedure as described in 6.1.4 is carried out except that the sample solution is used instead of the standard invert sugar solution, i.e. 25 ml of the sample solution is run into the flask from the burette. 15 ml of water is added, and the solution is allowed to boil for two minutes and then titrated until the end-point is reached as described in 6.1.5.
6.3.2.
If, after the addition of the methylene blue solution, the reddish colour persists, the sample solution used is too concentrated. In this case, the test is discarded but repeated using a less concentrated sample solution.
If more than 50 ml of sample solution are required to obtain the reddish colour, a more concentrated solution of the sample must be used.
Calculate the quantity of water to be added by subtracting the volumes of mixed Fehling's solution (20 ml) and of the sample solution from 75 ml.

6.4.   

Final analysis of sample solution

6.4.1.
Pipette into the boiling flask 20 ml of mixed Fehling's solution and the quantity of water determined as in 6.3.
6.4.2.
Add, from the burette, the observed titre of the sample solution (as determined in 63) less 1 ml. Add some anti-bumping granules, mix the contents of the flask by swirling, boil the flask and contents and titrate as previously (6.3). The end-point should be reached one minute from the time of addition of the methylene blue solution. Final titre = V
1
.

7.   

Expression of results

7.1.   

Formula and method of calculation

The reducing sugars content of the sample calculation as invert sugar, is given by:
% reducing sugars (as invert sugar =
[Bild bitte in Originalquelle ansehen]
where:
C
=
the concentration of the sample test solution in g per 100 ml.
V
o
=
the volume in ml of the standard invert solution used in the standardization titration,
V
1
=
the volume in ml of the sample test solution used in the accurate analysis in 6.4.2,
f
=
the correction factor to take account of the sucrose concentration in the sample test solution. Values are shown in the table below:

Sucrose (g in boiling mixture)

Correction factor f

0

1·000

0·5

0·982

1·0

0·971

1·5

0·962

2·0

0·954

2·5

0·946

3·0

0·939

3·5

0·932

4·0

0·926

4·5

0·920

5·0

0·915

5·5

0·910

6·0

0·904

6·5

0·898

7·0

0·893

7·5

0·888

8·0

0·883

8·5

0·878

9·0

0·874

9·5

0·869

10·0

0· 64

Corrections for varying sucrose contents of the sample test solution may be calculated from the table by interpolation.
Note:
The approximate sucrose concentration may be found by subtraction of the dissolved solids concentration due to the invert sugar (estimated for the purposes of this calculation f as 1.0), from the total dissolved solids concentration, expressed as sucrose, obtained from the refractive index of the solution using method three of this document.

7.2.   

Repeatability

The difference between the results of two determinations, carried out simultaneously or in rapid succession on the same sample by the same analyst under the same conditions, shall not exceed 1·0 % of their arithmetic mean.

8.   

Note

Divide by 2·889 to convert
o
S to polarmetric degrees of arc (precision tubes of 200 mm; light source consisting of a sodium vapour lamp; the instrument must be installed in a room where the temperature may be maintained close to 20
o
C).

METHOD 8

DETERMINATION OF DEXTROSE EQUIVALENT

(Lane and Eynon constant)

1.   

Scope and field of application

This method determines the dextrose equivalent of:
— glucose syrup,
— dried glucose syrup,
— dextrose monohydrate,
— dextrose anhydrous.

2.   

Definition

2.1.
‘Reducing power’: the reducing sugar content, determined by the method specified, expressed in terms of anhydrous dextrose (D-glucose) and calculated as a percentage by mass of the sample.
2.2.
‘Dextrose equivalent’: the reducing power, calculated as a percentage by mass of the dry matter in the sample.

3.   

Principle

The test solution is titrated at the boiling point against a specified volume of mixed Fehling's solution, under strictly specified conditions, using methylene blue as an internal indicator.

4.   

Reagents

4.1.   

Fehling's solution:

4.1.1.
Solution A:
Dissolve 69·3 g of copper II sulphate pentahydrate (CuSO
4
.5H
2
O) in water and make up to volume in a 1 000 ml volumetric f ask.
4.1.2.
Solution B:
Dissolve 346·0 g of sodium potassium tartrate tetrahydrate (KNaC
4
H
4
O
6
.4H
2
O) and 100 g of sodium hydroxide in water. Make up to volume in a 1 000 ml volumetric flask. Decant the clear solution from any sediment that may from time to time form.
Note:
These two solutions (4.1.1 and 4.1.2) should be stored in brown or amber bottles.
4.1.3.
Preparation of the mixed Fehling's solution
Pipette 50 ml of solution B (4.1.2) and then 50 ml of solution A (4.1.1) into a clean dry beaker and mix well.
Note:
Mixed Fehling's solution shall not be stored but made up afresh every day and standardized (6.1).

4.2.   

Anhydrous dextrose

(D-glucose) (C

6

H

12

O

6

)

This material shall be dried before use for four hours in a vacuum oven at 100 ± 1
o
C or less, and an internal pressure of approximately 10 kPa (103 mbar).

4.3.   

Standard dextrose solution,

0·600 g/100 ml

Weigh, to the nearest 0·1 mg, 0·6 g of anhydrous dextrose (4.2), dissolve it in water, transfer the solution quantitatively into a 100 ml volumetric flask (5.4), dilute to the mark and mix.
This solution shall be freshly prepared on each day of use.

4.4.   

Methylene blue solution,

0·1 g/100 ml

Dissolve 0·1 g of methylene blue in 100 ml water.

5.   

Apparatus

5.1.
Narrow necked laboratory boiling flasks,
250 ml.
5.2.
Burette,
50 ml, with tap and offset tip, graduated to 0·05 ml.
5.3.
One mark pipettes,
25 ml and 50 ml.
5.4.
One mark volumetric flasks,
100 and 500 ml.
5.5.
A heating device,
suitable for maintaining boiling according to the conditions described in 6·1, permitting the observation of the end-point colour change without the necessity of removing the boiling flask (5.1) from the source of heat (see 6.1, note 3).
5.6.
A stop-watch,
indicating to at least the nearest second.

6.   

Procedure

6.1.   

Standardization of the Fehling's solution

6.1.1.
Pipette 25 ml of Fehling's solution (4.1.3) into a clean, dry boiling flask (5.1).
6.1.2.
Fill the burette (5.2) with standard dextrose solution (4.3) and adjust the meniscus to the zero mark.
6.1.3.
Run into the boiling flask (5.1) from the burette 18 ml of standard dextrose solution (4.3). Swirl the flask to mix contents.
6.1.4.
Place the boiling flask on the heating device (5.5), previously adjusted so that boiling commences in 120 ± 15 seconds.
The heating device shall not be further adjusted during the whole of the titration (see note 1).
6.1.5.
When boiling commences, start the stop-watch from zero.
6.1.6.
Boil the contents of the flask for 120 seconds, as timed by the stop-watch.
Add 1 ml of methylene blue solution (4.4) towards the end of this period.
6.1.7.
After boiling has continued for 120 seconds (by the stop-watch) start adding standard dextrose solution to the boiling flask (5.1) from the burette (6.1.2) in 0·5 ml increments until the colour of the methylene blue is discharged (see notes 2 and 3).
Note the total volume of standard dextrose solution added up to and including the penultimate 0·5 ml increment (X ml).
6.1.8.
Repeat 6.1.1 and 6.1.2.
6.1.9.
Run into the boiling flask (5.1) from the burette a volume of standard dextrose solution equal to (X-0·3) ml.
6.1.10
Repeat 6.1.4, 6.1.5 and 6.1.6.
6.1.11.
After boiling has continued for 120 seconds (by the stop-watch), start adding standard dextrose solution to the boiling flask (5.1) from the burette, initially in 0·2 ml increments and finally dropwise, until the colour of the methylene blue is just discharged.
Towards the end of this action the time between successive additions of standard dextrose solution shall be 10 to 15 seconds.
These additions shall be completed within 60 seconds, making the total time to boiling no longer than 180 seconds.
A third titration with a slightly larger, appropriately adjusted, initial addition of standard dextrose solution (6.1.9) may be necessary to achieve this.
6.1.12.
Note the volume (V
o
ml) of standard dextrose solution used up to the end-point of the final titration (see note 4).
6.1.13.
V
o
shall be between 19·0 and 21·0 ml standard dextrose solution (4.3).
If V
o
lies outside these limits, adjust the concentration of the Fehling's solution A (4.1.1) appropriately and repeat the standardization process.
6.1.14.
For the day-to-day standardization of the mixed Fehling's solution, as V
o
is known with accuracy, a single titration only is necessary, using an initial addition of (V
o
— 0·5) ml standard dextrose solution.
Note 1:
This ensures that once boiling has commenced the evolution of steam is brisk and continuous throughout the whole of the titration process, thus preventing to the maximum possible extent the entrance of air into the titration flask with consquent re-oxidation of its contents.
Note 2:
The disappearance of the colour of the methylene blue is best seen by looking at the upper layers and the meniscus of the contents of the titration flask, as these will be relatively free from the precipiated, red copper I oxide. The colour disappearance is more easily seen when indirect lighting is used. A white screen behind the titration flask is helpful.
Note 3:
The burette should be isolated as much as possible from the source of heat during the determination.
Note 4:
As there is always a personal factor involved, each operator shall carry out his own standardization titration and use his own value of V
o
in the calculation (7.1).

6.2.   

Preliminary examination of the prepared sample

6.2.1.
Unless the reducing power (2.1) of the prepared sample is known approximately, it is necessary to carry out a preliminary examination in order to obtain an approximate figure for it so that the mass of the test portion (6.3) can be calculated.
This examination is carried out as follows:
6.2.2.
Prepare a 2% m/v solution of the sample ‘Z’, having an estimated value.
6.2.3.
As 6.1.2, using the sample solution (6.2.2) in place of the standard dextrose solution.
6.2.4.
As 6.1.1.
6.2.5.
As 6.1.3, using 10·0 ml sample solution instead of 18·0 ml standard dextrose solution.
6.2.6.
As 6.1.4.
6.2.7.
Heat the contents of the flask to boiling. Add 1 ml methylene blue solution (4.4).
6.2.8.
Immediately boiling has started, start the stop-watch (5.6) from zero and commence adding sample solution to the flask from the burette in 1·0 ml increments at intervals of approximately 10 seconds until the blue colour of the methylene blue is discharged.
Note the total volume of sample solution added up to and including the penultimate increment (Y ml).
6.2.9.
‘Y’ must not exceed 50 ml. If it does, increase the concentration of the sample solution and repeat the titration.
6.2.10.
The approximate reducing power of the prepared sample in percent by mass is given by:
[Bild bitte in Originalquelle ansehen]

6.3.   

Test portion

Weigh out, to the nearest 0·1 mg, a mass of the prepared sample (mg) which contains between 2·85 and 3·15 g reducing sugars, expressed as anhydrous dextrose (D-glucose) using in the calculation either known approximate figure for the reducing power (2.1) or the approximate figure obtained in 6.2.10.

6.4.   

Test solution

Dissolve the test portion in water and make up to 500 ml in a volumetric flask.

6.5.   

Determination

6.5.1.
As 6.1.1.
6.5.2.
Fill the burette (5.2) with test solution (6.4) and adjust the meniscus to the zero mark.
6.5.3.
Run into the boiling flask from the burette 18·5 ml test solution. Swirl the flask to mix the contents.
6.5.4.
As 6.1.4.
6.5.5.
As 6.1.5.
6.5.6.
As 6.1.6.
6.5.7.
As 6.1.7, using test solution in place of standard dextrose solution.
6.5.8.
As 6.1.8.
6.5.9.
As 6.1.9, using test solution in place of standard dextrose solution.
6.5.10.
As 6.1.10.
6.5.11.
As 6.1.11, using test solution in place of standard dextrose solution.
6.5.12.
Note the volume (V
1
) of test solution used up to the end-point of the final titration.
6.5.13.
V
1
shall be between 19·0 and 21·0 ml test solution.
If V
1
lies outside these limits, adjust the concentration of the test solution appropriately and repeat 6.5.1 to 6.5.12.
6.5.14.
Carry out two determinations on the same test solution.

6.6.   

Dry matter content

Determine the dry matter content of the prepared sample by method 2.

7.   

Expression of results

7.1.   

Formulae and method of calculation

7.1.1.
Reducing power
The reducing power, calculated as a percentage by mass of the prepared sample, is given by:
[Bild bitte in Originalquelle ansehen]
where:
V
0
=
the volume, in ml, of the standard dextrose solution (4.3) used in the standardization titration (6.1),
V
1
=
the volume, in ml, of the test solution (6.4) used in the determination titration (6.5),
M
=
the mass, in grams, of the test portion (6.3) used to make 500 ml test solution.
7.1.2.
Dextrose equivalent
The dextrose equivalent, calculated as a percentage by mass of the dry matter in the prepared sample, is given by:
[Bild bitte in Originalquelle ansehen]
where:
RP
=
the reducing power, calculated as a percent by mass of the prepared sample (7.1.1),
D
=
the dry matter content of the prepared sample in percent by mass.
7.1.3.
Take as the result the arithmetic mean of the two determinations provided that the requirement concerning repeatability (7.2) is satisfied.

7.2.   

Repeatability

The difference between the results of two determinations when carried out simultaneously or in rapid succession on the same sample, by the same analyst, under the same conditions, shall not exceed 10 % of their arithmetic mean.

METHOD 9

DETERMINATION OF SULPHATED ASH

1.   

Scope and field of application

The method determines the sulphated ash content in:
— glucose syrup,
— dried glucose syrup,
— dextrose monohydrate,
— dextrose anhydrous.

2.   

Definition

‘Sulphated ash content’: the content of sulphated ash as determined by the method specified.

3.   

Principle

The residual mass of a test portion is determined after incineration in an oxidizing atmosphere at 525
o
C in the presence of sulphuric acid and calculated as a percentage by mass of the sample.

4.   

Reagents

4.1.
Sulphuric acid,
dilute solution: slowly and cautiously add 100 ml of concentrated sulphuric acid (density at 20
o
C = 1·84 g/ml; 96 % m/m) to 300 ml water with stirring and cooling.

5.   

Apparatus

5.1.
Electric muffle furnace,
equipped with a pyrometer and capable of operating at a temperature of 525 ± 25
o
C.
5.2.
Analytical balance,
accurate to 0·1 mg.
5.3.
Ashing crucibles,
platinum or quartz, of suitable capacity.
5.4.
Desiccator,
containing freshly activated silica gel or an equivalent desiccant with a water content indicator.

6.   

Procedure

Heat a crucible (5.3) to the ashing temperature, cool in a desiccator and weigh. Accurately weigh, to the nearest 01 mg, 5 g of glucose syrup or dried glucose syrup, or about 10 g of dextrose monohydrate or dextrose anhydrous into the crucible.
Add 5 ml of sulphuric acid solution (4.1) (see note 8.1) and carefully heat the sample in the crucible over a flame or on a hotplate until it is completely carbonized. This carbonization process, during which vapours are burnt off from the sample (see note 8.2), should be carried out in a fume cupboard.
Place the crucible (5.3) in the muffle furnace (5.1) heated to 525 ± 25
o
C until a white ash is obtained. This normally takes two hours (see note 8.3).
Allow the sample to cool for about 30 minutes in a desiccator (5.4) and then weigh.

7.   

Expression

7.1.   

Formula and method of calculation

The sulphated ash content expressed as a percentage by mass of the sample to be analyzed is given by:
[Bild bitte in Originalquelle ansehen]
where:
m
1
=
the mass, in grams, of the ash,
m
0
=
the mass, in grams, of the test portion.

7.2.   

Repeatability

The difference between the results of two determinations when carried out simultaneously or in rapid succession on the same sample, by the same analyst, under the same conditions, shall not exceed 2% of their arithmetic mean.

8.   

Notes

8.1.
The sulphuric acid is added in small quantities to prevent excessive foaming.
8.2.
Every relevant precaution must be taken during the first carbonization to prevent losses of sample or of ash through excessive swelling of the sample.
8.3.
If the sample is difficult to ash completely (i.e. black particles remain) the crucible should be removed from the muffle furnace and the residue moistened, after cooling, with a few drops of water before being returned to the furnace.

METHOD 10

DETERMINATION OF POLARIZATION

1.   

Scope and field of application

The method determines the polarization in:
— semi-white sugar,
— sugar or white sugar,
— extra-white sugar.

2.   

Definition

The polarization is the rotation of the polarized light plane by a sugar solution with 26 g of sugar per 100 ml contained in a tube of 200 mm in length.

3.   

Principle

The polarization is determined by using a saccharimeter or a polarimeter according to the conditions described in the following method.

4.   

Reagents

4.1.
Clarification agent:
basic lead acetate solution.
Add 560 g of dry basic lead acetate to about 1 000 ml of freshly boiled water. Boil the mixture for 30 minutes and then leave it to stand overnight.
Decant the supernatant liquid and dilute with freshly boiled water to obtain a solution of density of 1·25 g/ml, at 20
o
C.
Protect this solution from contact with air.
4.2.
Diethyl ether

5.   

Apparatus

5.1.
Saccharimeter graduated for the normal weight of 26 g of sucrose, or polarimeter
This instrument must be installed in a room where the temperature may be maintained close to 20
o
C. Calibrate the instrument against standard quartz plates.
5.2.
Light source,
consisting of a sodium vapour lamp.
5.3.
Precision polarimeter tubes,
length 200 mm, error not exceeding ± 0·02 mm.
5.4.
Analytical balance,
accurate to within 0·1 mg,
5.5.
Individually calibrated 100 ml volumetric flasks stoppered.
Flasks with a real capacity in the range 100·00 ± 0·01 ml may be used without correction. Flasks with a capacity outside those limits must be used with an appropriate correction to adjust the capacity to 100 ml.
5.6.
Water-bath,
controlled thermostatically at 20 ± 0·1
o
C.

6.   

Procedure

6.1.   

Preparation of the solution

Weigh as quickly as possible 26 ± 0·002 g of the sample and transfer it quantitatively into a 100 ml volumetric flask (5.5) with approximately 60 ml of water.
Dissolve by swirling but without heating.
Where clarification is necessary, add 0·5 ml of lead acetate reagent (4.1).
Mix the solution by rotating the flask and wash the flask walls, until the volume is such that the meniscus is about 10 mm below the calibration mark.
Place the flask in the water-bath controlled (5.6) at 20 ± 0·1
o
C until the temperature of the sugar solution is constant.
Eliminate any bubbles formed at the surface of the liquid with a drop of diethyl ether (4.2).
Make up to volume with water.
Stopper and mix thoroughly by inverting the flask at least three times.
Allow to stand for five minutes.

6.2.   

Polarization

Maintain the temperature at 20 ± 1
o
C for all subsequent operations.
6.2.1.
Obtain the zero correction of the apparatus.
6.2.2.
Filter the sample through a filter paper. Discard the first 10 ml of the filtrate. Collect the next 50 ml of the filtrate.
6.2.3.
Wash the polarimeter tube by rinsing twice with the sample solution to be examined (6.2.2).
6.2.4.
Fill the tube carefully at 20 ± 0·1
o
C with the sample solution to be examined.
Remove all air bubbles when sliding the end-plate into position. Place the filled tube in the cradle of the instrument.
6.2.5.
Read the rotation to within 0·05
o
S or 0·02 angular degrees. Repeat a further four times. Take the mean of the five readings.

7.   

Expression of results

7.1.   

Formula and method of calculation

The results are expressed in degrees S to the nearest 0·1
o
S. To convert the angular degrees into degrees S, the following formula is used:
 
o
S = degree of arc × 2·889

7.2.   

Repeatability

The difference between the results of two determinations when carried out simultaneously or in rapid succession on the same sample, by the same analyst, under the same conditions, and each representing the mean of five readings, must not exceed 0·1
o
S.
(1)  
n
values in these tables are calculated from the equation developed by K. Rosenhauer for ICUMSA, programed and computed by Frank G. Carpenter of UDSA, and published in
Sugar J.
33, 15-22 (June 1970). Refractive index was measured at 20
o
C with 0 line of Na. Brix (% sucrose by weight) was obtained by weighing at 20
o
C in air at 760 Torr (mm Hg) pressure and 50% relative humidity. It replaces the previous table, 47.012, 11th edition, taken from
Intern. Sugar J.
39, 22s (1937).
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