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 \[\left( \frac{\partial S}{\partial T} \right)_V = \frac{C_V}{T}\]

Prove: ∂S∂TV=CVT From the property relation of the first law of thermodynamics,…

Answered: (a) Prove that the identity ( əv. O, +P…

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

Elements Of Electromagnetics

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ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Question

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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

\[
\left( \frac{\partial S}{\partial T} \right)_V = \frac{C_V}{T}
\]

Science that deals with the amount of energy transferred from one equilibrium state to another equilibrium state.

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