The Helmholtz function of a substance has the form where
Chapter 12, Problem 50P(choose chapter or problem)
The Helmholtz function of a substance has the form
\(a=-R T \ln \frac{\nu}{\nu_{0}}-c T_{0}\left(1-\frac{T}{T_{0}}+\frac{T}{T_{0}} \ln \frac{T}{T_{0}}\right)\)
where \(T_{0}\) and \(v_{0}\) are the temperature and specific volume at a reference state. Show how to obtain \(P, h, s, c_{v}\), and \(c_{p}\) from this expression.
Equation Transcription:
_
Text Transcription:
a = _RT ln frac{v}{v_0} - cT_0 (1 - frac{T}{T_0} + frac{T}{T_0} ln frac{T}{T_0})
T_0
v_0
P, h, s, c_v
c_p
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