JEE PYQ: Thermodynamics Question 5
Question 5 - 2021 (18 Mar Shift 2)
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):
(1) $-\gamma \frac{dV}{V}$
(2) $-\gamma \frac{V}{dV}$
(3) $-\frac{1}{\gamma}\frac{dV}{V}$
(4) $\frac{dV}{V}$
Show Answer
Answer: (1)
Solution
$PV^{\gamma} =$ constant
Differentiating: $\frac{dP}{dV} = -\frac{\gamma P}{V}$
$\frac{dP}{P} = -\frac{\gamma dV}{V}$
BETA
