Q53 · CSIR-NET Chemistry, December 2019

Paper: CSIR-NET December 2019 · Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Partial Molar Quantities · Marks: 2 · Difficulty: Medium

Molar composition of a mixture of P and Q at equilibrium is 3:1 (P:Q). A small disturbance in composition results in change of chemical potential of P by $10\,\mathrm{J\,mol^{-1}}$. The chemical potential of Q will change (in $\mathrm{J\,mol^{-1}}$) by
(a)30
(b)3.3
(c)-30
(d)-3.3
Answer
Answer: C ✓ checked by 4AB · confidence high
Explanation
Gibbs–Duhem: n_P dμ_P + n_Q dμ_Q = 0 ⇒ 3(10) + 1·dμ_Q = 0 ⇒ dμ_Q = −30 J mol⁻¹.

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