?Prove that\(dS =\frac {C_{V}}{T} (\frac {?T}{?P})_{V} \quad dP + \frac {C_{P}}{T}

Chapter 6, Problem 6.89

(choose chapter or problem)

Prove that

\(dS =\frac {C_{V}}{T} (\frac {∂T}{∂P})_{V} \quad dP + \frac {C_{P}}{T} (\frac {∂T}{∂V})_{P} \quad dV\)

For an ideal gas with constant heat capacities, use this result to derive Eq. (3.23c).

Text Transcription:

dS =C_V / T (∂T / ∂P)_V dP + C_P / T (∂T / ∂V)_P dV

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