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Data Concentration of HCl titrant (M) 529 M Test Solution Preparation of Borax S

ID: 1064088 • Letter: D

Question

Data Concentration of HCl titrant (M) 529 M Test Solution Preparation of Borax Solution I. Volume of sample (mL 5.De OS 5.01 3, 5.03 S. 9 2. Temperature of sample (oC) 33 C 1.9e c 3 C 12 C 5or Analysis of Borax Test Solutions l. Buret reading, final (mL) 22 mL. LIC 24. smu 34. 38.5mb 3001L 2. Buret reading, initial (mL) Hqmt 50mL 22 m L 45 L. Hom/ 50 mL 3. Volume of HC1 added (mL) 2 mL mu 12SmL lo smb esinL 20m Calculations Data Analysis 1. Temperature (K) 2.1/T (K I) 3, mol HCI used. 5. [B405(OH) (M 6. Solubility of borax (M) 7. Solubility product, 8. in Ksp Thermodynamic Results AG (k J), at 298 K rev2013 18-6

Explanation / Answer

Data analysis:

1

2

3

4

5

6

Temperature (K)

306

289

274.9

292.3

315

323

1/T (K-1)

0.00327

0.00346

0.00364

0.00342

0.00317

0.00309

Mol HCl used (mol)

0.0041283** (see sample calculation below)

0.001529

0.00191125

0.00164505

0.00099385

0.003058

Mol B4O5(OH)42-

0.00206415** (see sample calculation)

0.0007645

0.000955625

0.0008225

0.000496925

0.001529

[B4O5(OH)42-] (M)

0.408** (see sample calculation)

0.151

0.188

0.160

0.099

0.300

Solubility of borax (M)

0.408** (see sample calculation below)

0.151

0.188

0.160

0.099

0.300

Solubility product, Ksp

0.2717

0.0138

0.0266

0.0164

0.0039

0.1080

ln Ksp

-1.303

-4.283

-3.627

-4.110

-5.547

-2.226

Mol HCl used = (volume of HCl used in L)*(concentration of HCl in mol/L) = (49 – 22)mL*(1 L/1000 mL)*(0.1529 mol/L) = 0.0041283 mol.

Mol B4O5(OH)42-:

Write down the balanced chemical equation

B4O5(OH)42- + 2 H+ + 3 H2O -----> 4 B(OH)3

Moles B4O5(OH)42- = 2*moles H+ (as per the stoichiometric equation).

Moles B4O5(OH)42- = (0.0041283 mol H+)*[1 mol B4O5(OH)42-/2 mol H+] = 0.00206415 mol.

[B4O5(OH)42-] = [moles of B4O5(OH)42-]/[(5.06 mL)*(1 L/1000 mL)] = (0.00206415 mol)*(1000)/(5.06 L) = 0.4079 mol/L 0.408 mol/L

Solubility of borax:

Write down the dissociation of borax as

Na2B4O7.10H2O (s) <====> 2 Na+ (aq) + B4O5(OH)42- (aq) + 8 H2O (l) ….(a)

Solubility of borax = concentration of B4O5(OH)42- in M = 0.408 M

Solubility product:

Look at equation (a) above.

[Na+] =2*[B4O5(OH)42-] (As per the stoichiometric equation, the molar ratio of Na+ and B4O5(OH)42- is 2:1)

===> [Na+] = 2*(0.408 M) = 0.816 M

Ksp = [Na+]2[B4O5(OH)42-] = (0.816)2(0.408) = 0.2717 0.272

1

2

3

4

5

6

Temperature (K)

306

289

274.9

292.3

315

323

1/T (K-1)

0.00327

0.00346

0.00364

0.00342

0.00317

0.00309

Mol HCl used (mol)

0.0041283** (see sample calculation below)

0.001529

0.00191125

0.00164505

0.00099385

0.003058

Mol B4O5(OH)42-

0.00206415** (see sample calculation)

0.0007645

0.000955625

0.0008225

0.000496925

0.001529

[B4O5(OH)42-] (M)

0.408** (see sample calculation)

0.151

0.188

0.160

0.099

0.300

Solubility of borax (M)

0.408** (see sample calculation below)

0.151

0.188

0.160

0.099

0.300

Solubility product, Ksp

0.2717

0.0138

0.0266

0.0164

0.0039

0.1080

ln Ksp

-1.303

-4.283

-3.627

-4.110

-5.547

-2.226