Two thermodynamical process are shown in the figure. The molar he… - Vidyadip

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.

A
$C_B=\infty, C_A=0$
B
$C_A=0$ and $C_B=\infty$
✓
$C_P>C_B>C_A>C_v$
D
$C_A>C_P>C_V$

✓

Answer

Correct option: C.

$C_P>C_B>C_A>C_v$

c
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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