Work done in the cyclic process shown in the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The given $P-V$ graph represents a circle.For a cyclic process,the work done is equal to the area enclosed by the $P-V$ curve.Since the process is

Vedclass · Accepted Answer

$-\frac{22}{7} P_0 V_0$

Vedclass · Answer

(C) The given $P-V$ graph represents a circle.For a cyclic process,the work done is equal to the area enclosed by the $P-V$ curve.Since the process is anticlockwise,the work done is negative.The area of the circle is given by $A = \pi R_1 R_2$,where $R_1$ and $R_2$ are the semi-axes of the ellipse (or radii of the circle).From the graph,the diameter along the pressure axis is $3 P_0 - P_0 = 2 P_0$,so the semi-axis $R_1 = \frac{2 P_0}{2} = P_0$.The diameter along the volume axis is $3 V_0 - V_0 = 2 V_0$,so the semi-axis $R_2 = \frac{2 V_0}{2} = V_0$.Therefore,the work done $W = -(	ext{Area of the circle}) = -\pi R_1 R_2$.$W = -\pi (P_0) (V_0) = -\frac{22}{7} P_0 V_0$.

Work done in the cyclic process shown in the figure is ...........

Similar Questions

One mole of an ideal diatomic gas undergoes a transition from $A$ to $B$ along a path $AB$ as shown in the figure. The change in internal energy of the gas during the transition is

An ideal gas follows the path shown in the figure. The net work done in the whole cycle is

Consider the $P-V$ diagram for $1$ mole of an ideal monatomic gas shown in the figure. Which of the following statements is/are true?

An ideal gas undergoes a circular cycle centered at $4 \, atm, 4 \, L$ as shown in the diagram. The maximum temperature attained in this process is close to

In the cyclic process shown in the figure,the work done by the gas in one cycle is (in $,{P_1}{V_1}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module