A) \[\frac{pV}{\gamma }\]
B) \[\frac{pV}{(2\gamma -1)}\]
C) \[\frac{pV}{2(\gamma -1)}\]
D) \[\frac{R}{(\gamma -1)}\]
E) \[\frac{pV}{(\gamma -1)}\]
Correct Answer: E
Solution :
In case of gases whatever be the process \[\Delta U=n{{C}_{V}}\Delta T\] or \[\Delta U=n\Delta T\left( \frac{R}{\gamma -1} \right)\] ?. (i) \[pV=nR{{T}_{1}}\] \[2pV=nR{{T}_{2}}\] \[\Rightarrow \] \[pV=nR({{T}_{2}}-{{T}_{1}})\] \[\frac{pV}{R}=n\Delta T\] \[[{{T}_{2}}-{{T}_{1}}=\Delta T]\] Substituting in Eq. (i) \[\Delta U=\frac{pV}{(\gamma -1)}\]You need to login to perform this action.
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