For a pure substance, if internal energy is considered to be the function of any two of

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For a pure substance, if internal energy is considered to be the function of any two of the independent variables $P, V$, and $T$, then derive the following relations:

(a) $\left(\frac{\partial U}{\partial V}\right)_{T}=\frac{T \beta}{\alpha}-P$

(b) $\left(\frac{\partial U}{\partial P}\right)_{V}=C_{V} \frac{\alpha}{\beta}$

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Introduction To Chemical Engineering Thermodynamics

ISBN: 9788120348974

2nd Edition

Authors: HALDER

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Question Posted: May 02, 2024 01:43 AM

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For a pure substance, if internal energy is considered to be the function of any two of

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a The first thermodynamic relation is given by d UT d SP d V Differentiating it with respect to V at constant T we get leftfracpartial Upartial V ight...View the full answer

Introduction To Chemical Engineering Thermodynamics

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