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

An engine operates by taking a monatomic ideal gas through the cycle shown in the figure. The percentage efficiency of the engine is close to $.......\%$

$A$ thermodynamic system is taken from state $A$ to $B$ along $ACB$ and is brought back to $A$ along $BDA$ as shown in the $PV$ diagram. The net work done during the complete cycle is given by the area

The net work done by an ideal gas going through the cycle as shown in the $P-V$ diagram below is

An enclosed ideal gas is taken through a cycle as shown in the figure. Then

An ideal gas is taken from state-$1$ to state-$2$ through paths $A, B, C$ and $D$ as shown in the $P-V$ diagram. Let $Q, W$ and $\Delta U$ represent the heat supplied,work done,and change in internal energy respectively. Then:

Vedclass Test Series

Exam Paper Generator

Online Exam Module