7. Define conductivity and molar conductivity for the solution of an electrolyte. Discuss their variation with concentration.
8. The conductivity of 0.20 M solution of KCl at 298 K is 0.0248 S cm–1. Calculate its molar conductivity.
9. The resistance of a conductivity cell containing 0.001M KCl solution at 298 K is 1500 W. What is the cell constant if conductivity of 0.001M KCl solution at 298 K is 0.146 × 10–3 S cm–1 .
10. The conductivity of sodium chloride at 298 K has been determined at different concentrations and the results are given below:
Concentration/ 0.001 0.010 0.020 0.050 0.100
102 × κ/S m–1 1.237 11.85 23.15 55.53 106.74
Calculate Λmfor all concentrations and draw a plot between Λm and c½. Find the value of Λºm .
11. Conductivity of 0.00241 M acetic acid is 7.896 × 10–⁵ S cm–1 . Calculate its molar conductivity. If Λºm for acetic acid is 390.5 S cm2 mol–1 , what is its dissociation constant?
12. How much charge is required for the following reductions:
(i) 1 mol of Al3+ to Al ?
(ii) 1 mol of Cu2+ to Cu ?
(iii) 1 mol of MnO4 – to Mn2+ ?
13. How much electricity in terms of Faraday is required to produce
(i) 20.0 g of Ca from molten CaCl2 ?
(ii) 40.0 g of Al from molten Al2O3 ?
14. How much electricity is required in coulomb for the oxidation of
(i) 1 mol of H2O to O2 ?
(ii) 1 mol of FeO to Fe2O3 ?
15. A solution of Ni(NO3)2 is electrolysed between platinum electrodes using a current of 5 amperes for 20 minutes. What mass of Ni is deposited at the cathode?
16. Three electrolytic cells A,B,C containing solutions of ZnSO₄ , AgNO3 and CuSO₄ , respectively are connected in series. A steady current of 1.5 amperes was passed through them until 1.45 g of silver deposited at the cathode of cell B. How long did the current flow? What mass of copper and zinc were deposited?
17. Using the standard electrode potentials given in Table 3.1, predict if the reaction between the following is feasible:
(i) Fe3+(aq) and I–(aq) (ii) Ag+ (aq) and Cu(s)
(iii) Fe3+ (aq) and Br–(aq) (iv) Ag(s) and Fe3+(aq)
(v) Br2(aq) and Fe2+(aq).
18. Predict the products of electrolysis in each of the following:
(i) An aqueous solution of AgNO3 with silver electrodes.
(ii) An aqueous solution of AgNO3 with platinum electrodes.
(iii) A dilute solution of H2SO4 with platinum electrodes.
(iv) An aqueous solution of CuCl2 with platinum electrodes.