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JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases

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.

  1. A \(C_B=\infty, C_A=0\)
  2. B \(C_A=0\) and \(C_B=\infty\)
  3. C \(C_P>C_B>C_A>C_v\)
  4. D \(C_A>C_P>C_V\)
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 \(\mathrm{B} \rightarrow P V^{-1}=\) \(Cons\)…
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