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Question

Physics Question on kinetic theory

Cv_v and Cp_p denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then,

A

CpC_p - CvC_v is larger for a diatomic ideal gas than for a monoatomic ideal gas

B

CpC_p + CvC_v is larger for a diatomic ideal gas than for a monoatomic ideal gas

C

CpCv\frac{C_p}{C_v}is larger for a diatomic ideal gas than for a monoatomic ideal gas

D

CpC_p. CvC_v is larger for a diatomic ideal gas than for a monoatomic ideal gas

Answer

CpC_p. CvC_v is larger for a diatomic ideal gas than for a monoatomic ideal gas

Explanation

Solution

For monoatomic gas, Cp=52RC_p =\frac{5}{2}R and Cv=32R C_v =\frac{3}{2}R
For diatomic gas, Cp=72RC_p=\frac{7}{2}R and Cv=52R C_v=\frac{5}{2}R