Question

On a $P-T$ diagram, a cyclic process is performed as shown. Where is the volume maximum?

• A. $\text{a}$
• B. $\text{b}$
• C. $\text{c}$
• D. $\text{d}$

Answer 1

The correct option is D $\text{d}$

From ideal gas equation $PV=nRT$, we have ,
$V=nR\left(\frac{T}{P}\right)\Rightarrow V\propto \left(\frac{T}{P}\right)$

Thus, when $\frac{T}{P}$ is maximum, $V$ is maximum.

From the given diagram, we can deduce that,
${\left(\frac{T}{P}\right)}_d$ is maximum where $T$ is maximum and $P$ is minimum.
$\therefore$ $V$ is maximum at ${}^{\prime }{d}^{\prime }$.

Thus, option (d) is the correct answer.