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(a) Prove that the identity ( əv. O, +P ne, T and T T Cy V ƏT, T

(a) Prove that the identity ( əv. O, +P ne, T and T T Cy V ƏT, T

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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It's a thermodynamics question.

(a) Prove that the identity \[ \left( \frac{\partial S}{\partial V} \right)_T = \frac{1}{T} \left[ \left( \frac{\partial U}{\partial V} \right)_T + P \right] \] and \[ \left( \frac{\partial S}{\partial T} \right)_V = \frac{C_V}{T} \]
Transcribed Image Text:(a) Prove that the identity \[ \left( \frac{\partial S}{\partial V} \right)_T = \frac{1}{T} \left[ \left( \frac{\partial U}{\partial V} \right)_T + P \right] \] and \[ \left( \frac{\partial S}{\partial T} \right)_V = \frac{C_V}{T} \]
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