Thermodynamics 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 $A \rightarrow B \rightarrow C \rightarrow A$ as shown in the diagram. The total work done in the process is _______ J.
Show Answer
Answer (200)
Solution
rk 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.
$$ \begin{aligned} & W=\frac{1}{2} \times(30-10) \times(30-10)=200 kPa-dm^{3} \\ & =200 \times 1000 Pa-L=2 L-bar=200 J \end{aligned} $$