First slide

Work done by gas

Question

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

Moderate

A

450 $π kJ$
B

275 $π kJ$
C

750 $π kJ$
D

175 $π kJ$

Solution

$W = \frac{π}{4} (P_{2} - P_{1}) (V_{2} - V_{1})$
$W = \frac{π}{4} (4 - 1) \times 10^{5} \times (20 - 10)$ kJ
= $\frac{π}{4} \times 3 \times 10 \times 10^{5} = 750 π kJ$

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