Show, for a gas obeying the state equation [p v=(1+alpha) Re T] where (alpha) is a function
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Show, for a gas obeying the state equation
\[p v=(1+\alpha) \Re T\]
where \(\alpha\) is a function of temperature alone, that the specific heat at constant pressure is given by
\[c_{p}=-\Re T \frac{\mathrm{d}^{2}(\alpha T)}{\mathrm{d} T^{2}} \ln p+c_{p_{0}}\]
where \(c_{p_{0}}\) is the specific heat at unit pressure.
\(\left[c_{p}=-\Re T \frac{\mathrm{d}^{2}(\alpha T)}{\mathrm{d} T^{2}} \ln p+c_{p_{0}}\right]\)
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Related Book For
Advanced Thermodynamics For Engineers
ISBN: 9780080999838
2nd Edition
Authors: D. E. Winterbone, Ali Turan
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