In the given thermodynamic process,which of t | vedclass

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

Question

(C) The work done in a cyclic process is equal to the area enclosed by the $P-V$ diagram.In the given cycle $ABCA$,the shape is a right-angled triangl

Vedclass · Accepted Answer

Work done in the complete cycle $ABCA$ is $(1/2 P_0V_0)$.

Vedclass · Answer

(C) The work done in a cyclic process is equal to the area enclosed by the $P-V$ diagram.In the given cycle $ABCA$,the shape is a right-angled triangle with vertices at $A(V_0, 2P_0)$,$B(2V_0, 3P_0)$,and $C(2V_0, 2P_0)$.The base of the triangle is the segment $AC$,which has a length of $(2V_0 - V_0) = V_0$.The height of the triangle is the segment $BC$,which has a length of $(3P_0 - 2P_0) = P_0$.The area of the triangle is given by $	ext{Area} = (1/2) 	imes 	ext{base} 	imes 	ext{height} = (1/2) 	imes V_0 	imes P_0 = (1/2) P_0V_0$.Since the cycle is traversed in a clockwise direction,the work done is positive.Therefore,the work done in the complete cycle $ABCA$ is $(1/2 P_0V_0)$.

In the given thermodynamic process,which of the following statements is correct?

Similar Questions

An ideal gas is taken through the cycle $A \rightarrow B \rightarrow C \rightarrow A$ as shown in the figure. If the net heat supplied to the gas in the cycle is $5 \,J$, the magnitude of work done during the process $C \rightarrow A$ is (in $\,J$)

$3\, \text{moles}$ of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperatures in different states are: $T_1 = 400\, K$, $T_2 = 800\, K$, $T_3 = 2400\, K$ and $T_4 = 1200\, K$. The work done by the gas during the cycle is ...... $kJ$.

An ideal gas undergoes a cyclic process as shown in the diagram. The net work done by the gas in the cycle is

$A$ gas in a closed container undergoes the cycle $ABCA$ as shown in the figure. The net heat released by the gas after it has undergone $20$ cycles is (in $\,kJ$)

An ideal monoatomic gas is taken around the cycle $ABCDA$ as shown in the $P-V$ diagram. The work done during the cycle is

Vedclass Test Series

Exam Paper Generator

Online Exam Module