The work done by a gas as it is taken in a cy | vedclass

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

Question

(D) The work done in a cyclic process is equal to the area enclosed by the cycle on the $P-V$ graph. For a clockwise cycle, the work done is positive,

Vedclass · Accepted Answer

$-3$

Vedclass · Answer

(D) The work done in a cyclic process is equal to the area enclosed by the cycle on the $P-V$ graph. For a clockwise cycle, the work done is positive, and for a counter-clockwise cycle, it is negative. The given cycle is $A ightarrow B ightarrow C ightarrow A$. Looking at the arrows, the cycle is counter-clockwise. Therefore, the work done will be negative. The area of the triangle $ABC$ is given by: $W = -	ext{Area of triangle } ABC = -\frac{1}{2} 	imes 	ext{base} 	imes 	ext{height}$ Base $AB = 3V - V = 2V$ Height $BC = 4P - P = 3P$ $W = -\frac{1}{2} 	imes (2V) 	imes (3P) = -3 PV$ Thus, the correct option is $D$.

The work done by a gas as it is taken in a cyclic process (shown in the graph) is (in $PV$)

Similar Questions

$A$ system changes from the state $(P_1, V_1)$ to $(P_2, V_2)$ as shown in the figure. What is the work done by the system?

Which of the curves in the given $P-V$ diagram represents an adiabatic process and an isothermal process,respectively?

One mole of a monoatomic gas is carried along the process $ABCDEA$ as shown in the diagram. Find the net work done by the gas in $J$.

An ideal gas is taken through the path $A \rightarrow B \rightarrow C \rightarrow A$ as shown in the figure. The net work done by the gas is ....... $J$.

Calculate the heat absorbed by the system in going through the process shown in the figure.

Vedclass Test Series

Exam Paper Generator

Online Exam Module