For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where $\gamma$ is the ratio of specific heats):
JEE MAIN 2021, Medium
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$PV ^{\gamma}=$ constant
Differentiating
$\frac{ dP }{ dV }=-\frac{\gamma P }{ V }$
$\frac{ dP }{ P }=-\frac{\gamma dV }{ V }$
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