$C_V$ and $C_p$ denote the molar specific heat capacities of a gas at constant volume and constant pressure,…

$C_V$ and $C_p$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then
  1. $C_p-C_V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
  2. $C_p+C_V$ is larger for a diatomic ideal gas than for a monoatomic ideal gas.
  3. $\frac{C_p}{C_V}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
  4. $C_p \cdot C_V$ 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 $

Asked in: JEE Advanced 2009 (Paper 1)

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