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JEE Mains · Physics · STD 11 - Kinetic theory of gases
  • JEE Mains 2024
  • Hard
  • MCQ

Two thermodynamical process are shown in the figure. The molar heat capacity for process \(A\) and \(B\) are \(C_A\) and \(C_B\). The molar heat capacity at constant pressure and constant volume are represented by \(C_P\) and \(C_V\), respectively. Choose the correct statement.

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Verified Solution

Answer & Solution

Correct Answer

(C) \(C_P>C_B>C_A>C_v\)

Step-by-step Solution

Detailed explanation

For process \(\mathrm{A}\)
\( \log P=\gamma \log \mathrm{V} \Rightarrow \mathrm{P}=\mathrm{V}^\gamma,(\gamma>1) \)
\( P V^{-\gamma}=\text { Constant } \)
\( C_A=C_V+\frac{R}{1+\gamma} \ldots . \text { (i) }\)
Likewise for process \(\mathrm{B} \rightarrow P V^{-1}=\) \(Cons\) \(\tan t\)
\(C_B\) \( =C_v+\frac{R}{1+1} \)
\(C_B\) \( =C_v+\frac{R}{2} \) \(.............(ii)\)
\(C_P\) \(=C_v+R\) \(...........(iii)\)
By \((i)\), \((ii)\) & \((iii)\) \(C_P>C_B>C_A>C_v\) [No answer matching]
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