The pH and conductance of a weak acid (HX) were found to be 5 and 4 10-5 S, respectively. The conductance was measured under standard condition using a cell where the electrode plates having a surface area of 1 cm2 were at a distance of 15 cm apart. The value of the limiting molar conductivity is S m2 mol-1. (nearest integer) (Given : degree of dissociation of the weak acid ( ) 1)
Answer
6
Solution
Cell constant G* = lA = 15 cm1 cm2 = 15 cm-1 = 1500 m-1
Conductivity = G G* = 4 10-5 1500 = 0.06 S m-1
pH = 5 [H+] = c = 10-5 mol L-1 = 10-2 mol m-3
m = c and = m m
m = m = c
= 0.06 S m-110-2 mol m-3
= 6 S m2 mol-1
Answer: 6