An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path as shown in the diagram above. The total work done in the process is _____ J.

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Solution

Q.

An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path $A \to B \to C \to A$ as shown in the diagram above. The total work done in the process is _____ J. [2024]

Ans.
(200)

Magnitude of work done in a cyclic process = area enclosed by P-V or V-P graph.

$| W |$ $= \frac{1}{2} \times A C \times A B$

$= \frac{1}{2} \times (30 - 10) kPa \times (30 - 10) {dm}^{3}$

$= 200 {kPadm}^{3}$

$= 200 \times 1000 Pa \times {(10^{- 1} m)}^{3}$

$= 200 {Pam}^{3} = 200 J$

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