Question Bank › Physical Chemistry › Thermodynamics › ABC26PH0607Consider an ideal gas of volume V at temperature T and pressure P. If the entropy of the gas is S, the… · ABC26PH0607 Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Laws State Functions · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium
Consider an ideal gas of volume V at temperature T and pressure P. If the entropy of the gas is S, the partial derivative $(\partial P/\partial S)_V$ is equal to
(a) $(\partial \mathrm{T} / \partial \mathrm{P})_{\mathrm{S}}$
(b) $(\partial T/\partial V)_P$
(c) $-(\partial \mathrm{T} / \partial \mathrm{V})_{\mathrm{S}}$
(d) $(\partial \mathrm{T} / \partial \mathrm{S})_{\mathrm{P}}$
Answer Answer: C ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation From dU = T dS − p dV the Maxwell relation is (∂T/∂V)_S = −(∂p/∂S)_V, so (∂p/∂S)_V = −(∂T/∂V)_S.
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