Assertion : Adiabatic expansion is always acc | vedclass

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(C) For an adiabatic process, the relation between temperature $T$ and volume $V$ is given by $TV^{\gamma-1} = 	ext{constant}$.Since $\gamma > 1$ for

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If the Assertion is correct but Reason is incorrect.

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(C) For an adiabatic process, the relation between temperature $T$ and volume $V$ is given by $TV^{\gamma-1} = 	ext{constant}$.Since $\gamma > 1$ for all gases, $T \propto V^{-(\gamma-1)}$.In an adiabatic expansion, the volume $V$ increases, which implies that the temperature $T$ must decrease. Thus, the Assertion is correct.However, the Reason states that volume is inversely proportional to temperature $(V \propto 1/T)$, which is incorrect. The correct relation is $T \propto V^{-(\gamma-1)}$.Therefore, the Assertion is correct but the Reason is incorrect.

$Assertion :$ Adiabatic expansion is always accompanied by fall in temperature.
$Reason :$ In adiabatic process, volume is inversely proportional to temperature.

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$Assertion :$ Adiabatic expansion is always accompanied by fall in temperature.$Reason :$ In adiabatic process, volume is inversely proportional to temperature.