JEE MAIN - Chemistry (2024 - 30th January Morning Shift - No. 27)
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An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path $$\mathrm{A} \rightarrow \mathrm{B} \rightarrow \mathrm{C} \rightarrow \mathrm{A}$$ as shown in the diagram above. The total work done in the process is __________ J.
Answer
200
Explanation
Work done is given by area enclosed in the P vs V cyclic graph or V vs P cyclic graph.
Sign of work is positive for clockwise cyclic process for V vs P graph.
$$\begin{aligned} & W=\frac{1}{2} \times(30-10) \times(30-10)=200 \mathrm{~kPa}-\mathrm{dm}^3 \\ & =200 \times 1000 \mathrm{~Pa}-\mathrm{L}=2 \mathrm{~L}-\mathrm{bar}=200 \mathrm{~J} \end{aligned}$$
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