The molar conductivity of 0.025 mol L–1 methanoic acid is 46.1 S cm2 mol–1. Calculate its degree of dissociation and dissociation constant. Given λ0(H+) = 349.6 S cm2 mol–1 and λ0 (HCOO–) = 54.6 S cm2 mol–1.
C = 0.025 mol L-1
Am = 46.1 Scm2 mol-1
λ0 (H+) = 349.6 Scm2 mol-1
λ0 (HCOO-) = 54.6 Scm2 mol-1
Λ0m (HCOOH) = Λ 0(H+) + Λ0(HCOO-)
= 349.6 + 54.6
= 404.2 S cm2 mol-1
Now, the degree of dissociation:
∴ α = 0.114(approximately)
Thus, dissociation constant:
⇒ K = 3.67 × 10-4 mol L-1