Thermodynamics C Question 7
Question 7 - 2024 (30 Jan Shift 1)
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. The total work done in the process is _______ J.
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Answer (200)
Solution
rk done is given by area enclosed in the $\mathrm{P}$ vs V cyclic graph or V vs $\mathrm{P}$ cyclic graph.
Sign of work is positive for clockwise cyclic process for V vs $\mathrm{P}$ graph.
$$ \begin{aligned} & \mathrm{W}=\frac{1}{2} \times(30-10) \times(30-10)=200 \mathrm{kPa}-\mathrm{dm}^{3} \ & =200 \times 1000 \mathrm{~Pa}-\mathrm{L}=2 \mathrm{~L}-\mathrm{bar}=200 \mathrm{~J} \end{aligned} $$
