Question

In $P-V$ diagram shown in figure, $ABC$ is a semicircle. Find the work done in the process $ABC$.

• A. $450\pi kJ$
• B. $375\pi kJ$
• C. $175\pi kJ$
• D. $275\pi kJ$

Answer 1

The correct option is B $375\pi kJ$

$W=-\frac{\pi }{8}(P_2-P_1)(V_2-V_1)$

$=\frac{\pi }{8}(4-1)\times {10}^5\times (20-10)$

$=\frac{\pi }{8}\times 3\times 10\times {10}^5=375\pi kJ$

Final answer: (𝑐)