1. 5/2R 2. 2R 3. R 4. 3/2R

Answer: 3. R For a polytropic process PV^x= const, molar heat capacity is C=C_v+R/1-x . Monatomic gas: C_v=3/2R ; here x=3 . C=3/2R+R/1-3=3/2R-1/2R=R Option (3).

Topic: First law of thermodynamics· Thermodynamics

One mole of an ideal monatomic gas undergoes a process described by the equation PV^3 = constant. The heat capacity of the gas during this process is

1. $\frac{5}{2}R$

2. $2R$

3. $R$

4. $\frac{3}{2}R$

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Answer: 3. $R$

For a polytropic process $PV^x=$ const, molar heat capacity is $C=C_v+\dfrac{R}{1-x}$.

Monatomic gas: $C_v=\tfrac32R$; here $x=3$.

$$C=\frac32R+\frac{R}{1-3}=\frac32R-\frac12R=R$$

Option (3).

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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One mole of an ideal monatomic gas undergoes a process described by the equation PV^3 = constant. The heat capacity of the gas during this process is

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