Question

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

• 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 monoatomic 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 1

Answer: (B), (D)

The correct options are
B $C_p.C_v$ 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.

For Monoatomic gas
$C_v=\frac{3}{2}R,C_p=\frac{5}{2}R$
For diatomic gas
$C_v=\frac{5}{2}R{C}_p=\frac{7}{5}R$