In an adiabatic change, the pressure $P$ and temperature $T$ of a monoatomic gas are related by the relation $P \propto {T^C}$, where $C$ equals
AIIMS 2001,AIPMT 1994,AIIMS 2007, Medium
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(d) ${T^\gamma }{P^{1 - \gamma }}$= constant ==> $P \propto {T^{\frac{\gamma }{{\gamma - 1}}}}$
Comparing above equation with given equation
$P \propto {T^C}$ ==> $C = \frac{\gamma }{{\gamma - 1}} = \frac{{5/3}}{{5/3 - 1}} = \frac{5}{2}$
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