devarshi-dt-logo

Question:

Cvand Cp denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then which of the following is larger for a diatomic ideal gas than for a monoatomic ideal gas?

Cp.Cv is larger for a diatomic ideal gas than for a monoatomic ideal gas.

CpCv is larger for a diatomic ideal gas than for a monoatomic ideal gas.

Cp+Cv is larger for a diatomic ideal gas than for a monoatomic ideal gas.

Cp/Cv is larger for a diatomic ideal gas than for a monoatomic ideal gas.

Solution:

For Monoatomic gas Cv = (3/2)R, Cp = (5/2)R
For diatomic gas Cv = (5/2)R, Cp = (7/2)R