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STANDARD Physics Heat Capacities MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The ratio of the molar heat capacities of a diatomic gas at constant pressure to that at constant volume is

A

75\frac{7}{5}

B

32\frac{3}{2}

C

35\frac{3}{5}

D

52\frac{5}{2}

Correct Answer

Option A

Detailed Explanation

For a diatomic gas, the molar heat capacity at constant pressure Cp=72RC_p = \frac{7}{2}R and at constant volume Cv=52RC_v = \frac{5}{2}R. Therefore, CpCv=7/2R5/2R=75\frac{C_p}{C_v} = \frac{7/2R}{5/2R} = \frac{7}{5}.

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