The molar conductance of an infinitely dilute solution of ammonium chloride was found to be 185 S cm2 mol-1 and the ionic conductances of hydroxide and chloride ions are 170 and 70 S cm2 mol-1, respectively. If molar conductance of 0.02 M solution of ammonium hydroxide is 85.5 S cm2 mol-1, its degree of dissociation is given by x 10-1. The value of x is . (Nearest integer)
Answer
3
Solution
By Kohlrausch's law:
m (NH4Cl) = (NH4+) + (Cl-)
185 = (NH4+) + 70
(NH4+) = 115 S cm2 mol-1
m (NH4OH) = (NH4+) + (OH-)
= 115 + 170 = 285 S cm2 mol-1
Degree of dissociation = m m = 85.5285 = 0.3 = 3 10-1
x = 3
Answer: 3