`C_v and C_p` denote the molar specific heat capacities of a gas at costant volume and constant pressure, respectively. Then

Options

A. `C_p-C_v` is larger for a diatomic ideal gas than for a monoatomic ideal gas
B. `C_p+C_v` is larger for a diatomic ideal gas than for a monatomic ideal gas
C. `C_p//C_v` is larger for a diatomic ideal gas than for a monoatomic ideal gas
D. `C_p.C_v` is larger for a diatomic ideal gas than for a monoatomic ideal gas

Answer

B, D

Explanation

(b,d) `
`C_p-C_v=R for all gases`
For monoatomic gas: `C_v=3/2R,C_p=5/2R,gamma=5/3`
`C_p.C_v=15/4, C_p+C_v=4`
For diatomic gas: `C_v=5/2R, C_p=7/2R, gamma=7/5`
and `C_pC_v=35/4 , C_p+C_v=6`