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) :
Solution
for adiabatic expansion :<br><br>PV<sup>$\gamma$</sup> = const.<br><br>$\Rightarrow$ ln P + $\gamma$ln v = const.<br><br>$\Rightarrow$ differentiating both sides;<br><br>${{dp} \over p} + \gamma {{dv} \over v} = 0$<br><br>$\Rightarrow {{dp} \over p} = - \gamma {{dv} \over V}$
About this question
Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law
This question is part of PrepWiser's free JEE Main question bank. 271 more solved questions on Thermodynamics are available — start with the harder ones if your accuracy is >70%.