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Electrochemistry

Question
CBSEENCH12005848

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. Give λ°(H+) = 349.6 S cmmol–1 and λ° (HCOO ) = 54.6 s cm2 mol–1.

Solution

Answer:

Given that
λ0(H+)= 349.6 S cm2 mol–1
λ0(HCOO) = 54.6 S cm2 mol–1
Concentration ,C = 0.025 mol L−1
λ(HCOOH) = 46.1 S cm2 mol−1
use formula
λo(HCOOH)   = λ0(H+)  +   λ0(HCOO)
plug the values we get
λo(HCOOH)   = 0.349.6 + 54.6
                        =404.2 S cm2 mol−1
Formula of degree of dissociation:
ά = λo(HCOOH)/ λo(HCOOH)
ά = 46.1 / 404.2
ά = 0.114
Formula of dissociation constant:
K = (c ά2)/(1 – ά)
Plug the values we get