Question

Which of the following options are correct regarding the molar heat capacity $\left(C\right)$ for the gas whose $PV$ graph is shown below.

• A. $C=\infty$
• B. $C=0$
• C. $C=R$
• D. $C=2R$

Answer 1

The correct option is B $C=0$

We know that,
$Q=nC\Delta T$
Here, $Q$ is the heat supplied,
$n$ is the number of moles of the gas,
$C$ is molar heat capacity and,
$\Delta T$ is the change in temperature
$\Rightarrow C=\frac{Q}{n\Delta T}$

Since, $PV$= Constant (Given)
and $PV=nRT$
We can say that $T$ is contant.
Therefore,
$C=\frac{Q}{n\times 0}$
($\because T=$ constant, $\Delta T=0$)
$\Rightarrow C=\infty$
Hence, option $\left(a\right)$ is the correct answer.