Thermodynamics - Result Question 16

17. A thermodynamic system undergoes cyclic process $A B C D A$ as shown in fig. The work done by the system in the cycle is :

[2014]

(a) $P_0 V_0$

(b) $2 P_0 V_0$

(c) $\frac{P_0 V_0}{2}$

(d) Zero

Show Answer

Answer:

Correct Answer: 17. (d)

Solution:

  1. (d) Work done by the system in the cycle $=$ Area under $P-V$ curve and $V$-axis

$=\frac{1}{2}(2 P_0-P_0)(2 V_0-V_0)+$

$[-(\frac{1}{2})(3 P_0-2 P_0)(2 V_0-V_0)]$ $=\frac{P_0 V_0}{2}-\frac{P_0 V_0}{2}=0$