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JEE Advanced · Physics · 14. KTG

\(C_V\) and \(C_p\) denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then

  1. A \(C_p-C_V\) is larger for a diatomic ideal gas than for a monoatomic ideal gas
  2. B \(C_p+C_V\) is larger for a diatomic ideal gas than for a monoatomic ideal gas.
  3. C \(\frac{C_p}{C_V}\) is larger for a diatomic ideal gas than for a monoatomic ideal gas
  4. D \(C_p \cdot C_V\) is larger for a diatomic ideal gas than for a monoatomic ideal gas
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Answer & Solution

Correct Answer

(D) \(C_p \cdot C_V\) is larger for a diatomic ideal gas than for a monoatomic ideal gas

Step-by-step Solution

Detailed explanation

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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