ThermodynamicsHard
Question
If the ratio Cp/Cv = $\gamma$, the change in internal energy of the mass of a gas, when volume changes from V to 2V at constant pressure P, is
Options
A.$\frac{R}{\gamma - 1}$
B.PV
C.$\frac{PV}{\gamma - 1}$
D.$\frac{\gamma PV}{\gamma - 1}$
Solution
$\Delta U = n.C_{V,m}.\left( T_{2} - T_{1} \right) = n.\frac{R}{\gamma - 1}.\left( \frac{P.2V}{nR} - \frac{P.V}{nR} \right) = \frac{PV}{\gamma - 1}$
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