A) \[T{{V}^{\gamma }}=\]constant
B) \[{{T}^{\gamma }}V=\]constant
C) \[T{{V}^{1-\gamma }}=\]constant
D) \[T{{V}^{\gamma -1}}=\]constant
Correct Answer: D
Solution :
In an adiabatic process \[p{{V}^{\gamma }}=\]constant Using ideal gas equation,\[pV=RT\] \[\therefore \] \[\left( \frac{RT}{V} \right){{V}^{\gamma }}=\]constant or \[T{{V}^{\gamma -1}}=\]constant (as\[R\] is a gas constant)
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