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Q.

In an adiabatic change, the pressure P and temperature T of a diatomic gas are related by the relation $P \propto T^{C},$ where C equal to $\frac{x}{2} .$ Then value of the $x$

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answer is 7.

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Detailed Solution

$\frac{T^{γ}}{P^{γ - 1}} =$ constant (or) $P \propto T^{\frac{^{γ}}{(γ - 1)}}$ $∴ C = \frac{γ}{γ - 1} = \frac{7 / 5}{2 / 5} = \frac{7}{2} .$

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