For a polytropic process $PV^n = \text{const}$, the molar specific heat is:
$$C = C_v + \frac{R}{1-n}$$
Here $PV^2 = \text{const}$, so $n = 2$:
$$C = C_v + \frac{R}{1-2} = C_v - R$$
Back to JEE Main 2023 Thermodynamics
JEE Main 2023 — Physics Thermodynamics
medium
mcq
2023
Official previous-year question
Verified 30 May 2026.
Question
The molar specific heat of a gas in a process $PV^2 = \text{constant}$ is:
Options
- A
$C = C_v - R$
- B
$C = C_v + R$
- C
$C = C_v - \frac{R}{2}$
- D
$C = C_v + \frac{R}{2}$
Solution
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