A thermodynamic system undergoes a cyclic pro | 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 on a $P-V$ diagram is equal to the net area enclosed by the cycle.In the given figure,the cycle consists of two

Vedclass · Accepted Answer

Zero

Vedclass · Answer

(D) The work done in a cyclic process on a $P-V$ diagram is equal to the net area enclosed by the cycle.In the given figure,the cycle consists of two triangles: $	riangle AOD$ and $	riangle BOC$.For the process $A ightarrow O ightarrow D$,the volume increases,so the work done is positive. The area of $	riangle AOD = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes (2V_0 - V_0) 	imes (2P_0 - P_0) = \frac{1}{2} 	imes V_0 	imes P_0 = \frac{P_0V_0}{2}$.For the process $B ightarrow O ightarrow C$,the volume decreases,so the work done is negative. The area of $	riangle BOC = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes (2V_0 - V_0) 	imes (3P_0 - 2P_0) = \frac{1}{2} 	imes V_0 	imes P_0 = \frac{P_0V_0}{2}$.The total work done $W = W_{AOD} + W_{BOC} = \frac{P_0V_0}{2} + (-\frac{P_0V_0}{2}) = 0$.

$A$ thermodynamic system undergoes a cyclic process $ABCDA$ as shown in the figure. The work done by the system in the cycle is

Similar Questions

$A$ 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 $\,kJ$)

In the indicator diagram (shown in the figure),the net amount of work done will be

What is the total work done in a cyclic process?

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 ............ $kJ$.

$A$ system goes from $A$ to $B$ via two processes $I$ and $II$ as shown in the figure. If $\Delta U_I$ and $\Delta U_{II}$ are the changes in internal energies in the processes $I$ and $II$ respectively,then:

Vedclass Test Series

Exam Paper Generator

Online Exam Module