A gas has the equation of state [frac{p v}{Re T}=mathrm{a}-mathrm{b} T] where (mathrm{a}) and (mathrm{b}) are constants.

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A gas has the equation of state

\[\frac{p v}{\Re T}=\mathrm{a}-\mathrm{b} T\]

where \(\mathrm{a}\) and \(\mathrm{b}\) are constants. If the gas is compressed reversibly and isothermally at the temperature \(T^{\prime}\) show that the compression will also be adiabatic if

\[T^{\prime}=\frac{\mathrm{a}}{2 \mathrm{~b}}\]

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Advanced Thermodynamics For Engineers

ISBN: 9780080999838

2nd Edition

Authors: D. E. Winterbone, Ali Turan

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