Q50 / 60 · JEE Advanced 2009 (Paper 1) · Physics
$C_V$ 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
- Correct answerB$C_p+C_V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas.
- C$\frac{C_p}{C_V}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
- Correct answerD$C_p \cdot C_V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
Solution
For monoatomic gas,
$$
C_p=\frac{5}{2} R \text { and } C_V=\frac{3}{2} R
$$
For diatomic gas,
$$
C_p=\frac{7}{2} R \text { and } C_V=\frac{5}{2} R
$$
Hence, the correct answer is options: 'B', 'D'.