For an adiabatic expansion of a perfect gas,t | vedclass

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(C) For an adiabatic process,the relation between pressure $P$ and volume $V$ is given by $PV^{\gamma} = 	ext{constant}$.Taking the natural logarithm

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$-\gamma \frac{\Delta V}{V}$

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(C) For an adiabatic process,the relation between pressure $P$ and volume $V$ is given by $PV^{\gamma} = 	ext{constant}$.Taking the natural logarithm on both sides: $\ln P + \gamma \ln V = \ln(	ext{constant})$.Differentiating both sides with respect to their variables: $\frac{dP}{P} + \gamma \frac{dV}{V} = 0$.Rearranging the terms,we get: $\frac{dP}{P} = -\gamma \frac{dV}{V}$.For small changes,$\frac{\Delta P}{P} = -\gamma \frac{\Delta V}{V}$.

For an adiabatic expansion of a perfect gas,the value of $\frac{\Delta P}{P}$ is equal to

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