1. Tardigrade
  2. Question
  3. Physics
  4. For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where γ is the ratio of specific heats):

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. 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 MainJEE Main 2021Thermodynamics

Solution:

$PV ^{\gamma}=$ constant Differentiating
$\frac{ d P }{ dV }=-\frac{\gamma P }{ V }$
$\frac{ dP }{ P }=-\frac{\gamma d V }{ V }$