A) \[{{T}^{\gamma }}{{P}^{1-\gamma }}\]= constant
B) \[{{T}^{\gamma -1}}{{P}^{\gamma }}\]= constant
C) \[{{T}^{\gamma -1}}{{V}^{\gamma }}\]= constant
D) \[{{T}^{\gamma }}{{V}^{\gamma }}\]= constant
Correct Answer: A
Solution :
Adiabatic process is a sudden or rapid process in which heat remains constant For an adiabatic change of perfect gas, the poisons equation holds which is given by \[P{{V}^{\gamma }}=\text{constant}\] \[T{{V}^{\gamma -1}}=\text{constant}\] \[\frac{{{T}^{\gamma }}}{{{P}^{\gamma -1}}}=\text{constant}\] or \[{{T}^{\gamma }}{{P}^{1-\gamma }}=\text{constant}\]
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