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

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

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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