Question

Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure?
Where, $1\to 2$ is adiabatic.
(Graphs are schematic and are not to scale)

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

For process $3\to 1$ volume is constant.

$\therefore$ The volume and temperature are independent of each other. So the $V$ Vs $T$ graph for process $3\to 1$ will be a straight line parallel to the temperature axis.

Process $1\to 2$ is adiabatic.

For adiabatic process, $T{V}^{\gamma -1}=\text{constant}$

So, the $V$ Vs $T$ graph for process $1\to 2$ will be a curve.

For process $2\to 3$ Pressure constant so that,
$V\propto T$

So, the $V$ Vs $T$ graph for process $2\to 3$ will be a straight line passing through origin.

The $V$ Vs $T$ graph for the entire cycle will be as shown below.



Hence, $\left(C\right)$ is the correct answer.