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.
Write Your Answer
β Correct! Well done.
β Incorrect. Try again or view the solution.
Solution
For process A
$$
\begin{aligned}
& \log P=\gamma \log \mathrm{V} \Rightarrow \mathrm{P}=\mathrm{V}^\gamma,(\gamma>1) \\
& P V^{-\gamma}=\text { Constant } \\
& C_A=C_V+\frac{R}{1+\gamma}
\end{aligned}
$$
Likewise for process $\mathrm{B} \rightarrow P V^{-1}=$ Cons $\tan t$
$$
\begin{aligned}
& C_B=C_v+\frac{R}{1+1} \\
& C_B=C_v+\frac{R}{2} \\
& C_P=C_v+R
\end{aligned}
$$
By (i), (ii) \& (iii)
$C_P>C_B>C_A>C_v$ [No answer matching]
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