Question

Work done in the cyclic process shown in figure is

• A. $4 P_{0}\, V_{0}$
• B. $-4 P_{0}\, V_{0}$
• C. $-\frac{22}{7} P_{0} \,V_{0}$
• D. $-13 P_{0} \,V_{0}$

Answer 1

Answer: (C)

Cyclic process is anticlockwise then
Work done $= -($ Area of $P-V$ graph$)$
$W=-\pi R_{1} R_{2}$
$=-\pi\left(\frac{3 P_{0}-P_{0}}{2}\right) \times\left(\frac{3 V_{0}-V_{0}}{2}\right)$
$=\frac{-22}{7} P_{0}\, V_{0}$