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Question: Answered & Verified by Expert
$C_V$ and $C_p$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then
PhysicsKinetic Theory of GasesJEE AdvancedJEE Advanced 2009 (Paper 1)
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 monoatomic ideal gas.
  • C
    $\frac{C_p}{C_V}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
  • D
    $C_p \cdot C_V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
Solution:
2874 Upvotes Verified Answer
The correct answers are:
$C_p+C_V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas.
,
$C_p \cdot C_V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
For monoatomic gas,
$$
C_p=\frac{5}{2} R \text { and } C_V=\frac{3}{2} R
$$

For diatomic gas,
$$
C_p=\frac{7}{2} R \text { and } C_V=\frac{5}{2} R
$$

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