Question

A cyclic process $\text{ABCA}$ is shown in the $V-T$ diagram. The representation of the same cyclic process on the $P-V$ diagram is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

From the given $V-T$ diagram, we can see that

In process $\text{AB},V\propto T$

$\therefore \text{Pressure is constant}\to \text{Isobaric process}$

In process $\text{BC}$,

$V=\text{constant}\to \text{Isochoric process}$

In process $\text{CA}$,

$T=\text{constant}\to \text{Isothermal process}$

Thus, In $P-V$ diagram,

Process $\text{AB}$ should represent an Isobaric process, with increasing volume.

Process $\text{BC}$ should represent an Isochoric process, with decreasing pressure $\text{(as Temperature decreases during BC)}$

Process $\text{CA}$ should represent an Isothermal process
(Rectangular hyperbola) with decreasing volume.

$\therefore$ These processes are correctly represented on $PV$ diagram by graph $\left(\text{C}\right)$.

Hence, option $\left(\text{C}\right)$ is correct.