GATE ME 2019 Set 2 — Question 22
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Thermodynamics → Laws & Properties → Maxwell Relations
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Question
For a simple compressible system, , , and are specific volume, specific entropy, pressure and temperature, respectively. As per Maxwell's relations, is equal to
Correct answer
(D) ((∂ T)/(∂ p))ₛ
Solution
From the fundamental thermodynamic relation for enthalpy :Since is an exact differential, the Maxwell relation is derived as:Therefore, is equal to . Note: In the provided image, options C and D appear identical due to a possible printing error, but the correct relation is .
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