The internal pressure ( U / V)T of a real gas is related to the compressibility factor Z=p V / RT by [ where, V is the molar volume]

ABC26PH0231 · Thermodynamics

Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Thermodynamics – General · Exam: CSIR-NET DEC 2012 · Marks: 2 · Difficulty: Medium

The internal pressure $(\partial U / \partial V)_{T}$ of a real gas is related to the compressibility factor

\[ \mathrm{Z}=\mathrm{p} \tilde{\mathrm{V}} / \mathrm{RT} \text { by } \]

[ where, $\tilde{\mathrm{V}}$ is the molar volume]

(a)$(\partial U / \partial V)_{T}=RT(\partial Z / \partial V)_{T}$

(b)$(\partial U / \partial V)_{T}=RT/(\tilde{V} Z)$

(c)$(\partial U / \partial V)_{T}=(RT^{2}/\tilde{V})(\partial Z/\partial T)_{V}$

(d)$(\partial U / \partial V)_{T}=(\tilde{V}/RT^{2})(\partial Z/\partial T)_{V}$

Answer

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Explanation

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