JEE MAIN - Physics (2024 - 30th January Morning Shift - No. 9)
Two thermodynamical processes are shown in the figure. The molar heat capacity for process A and B are $$\mathrm{C}_{\mathrm{A}}$$ and $$\mathrm{C}_{\mathrm{B}}$$. The molar heat capacity at constant pressure and constant volume are represented by $$\mathrm{C_P}$$ and $$\mathrm{C_V}$$, respectively. Choose the correct statement.
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Explanation
For process $$\mathrm{A}$$
$$\begin{aligned} & \log P=\gamma \log \mathrm{V} \Rightarrow \mathrm{P}=\mathrm{V}^\gamma,(\gamma>1) \\ & P V^{-\gamma}=\text { Constant } \end{aligned}$$
$$C_A=C_V+\frac{R}{1+\gamma}$$ ..... (i)
Likewise for process $$\mathrm{B} \rightarrow P V^{-1}=$$ Constant
$$\begin{aligned} & C_B=C_v+\frac{R}{1+1} \\ & C_B=C_v+\frac{R}{2} \quad \text{..... (ii)} \\ & C_P=C_v+R \quad \text{..... (iii)} \end{aligned}$$
By (i), (ii) & (iii)
$$C_P>C_B>C_A>C_v$$ [No answer matching]
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