Q32 · CSIR-NET Chemistry, June 2021

Paper: CSIR-NET June 2021 · Subject: Physical Chemistry · Chapter: Electrochemistry · Topic: Conductance · Marks: 2 · Difficulty: Medium

For weak electrolyte like acetic acid, the relation among conductance ( $\lambda$ ), equilibrium constant (K) and concentration (C) can be expressed as: ( $\lambda_{0}$ is conductance at infinite dilution)
(a)$\frac{1}{\lambda}=\frac{1}{\lambda^{0}}-\frac{\mathrm{C} \lambda}{\mathrm{k} \lambda^{0}}$
(b)$\frac{1}{\lambda}=\frac{1}{\lambda^{o}}+\frac{\mathrm{C} \lambda}{\mathrm{K} \lambda^{o}}$
(c)$\frac{1}{\lambda}=\frac{1}{\lambda^{\mathrm{o}}}+\frac{\mathrm{C} \lambda}{\mathrm{K} \lambda^{\mathrm{o} 2}}$
(d)$\frac{1}{\lambda}=\frac{\mathrm{C} \lambda}{\mathrm{K} \lambda^{\circ 2}}$
Answer
Answer: C ✓ checked by 4AB · confidence high

The source book printed B; on checking, C is correct — see the explanation.

Explanation
Ostwald's dilution law with α = λ/λ° gives 1/λ = 1/λ° + Cλ/(Kλ°²) (c).

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