Question

A gas is taken through a cycle \(A\rightarrow B\rightarrow C\rightarrow A\), as shown in the figure. The net work done by the gas is

• A. \(600\ \text{J}\)
• B. \(1200\ \text{J}\)
• C. \(1800\ \text{J}\)
• D. \(400\ \text{J}\)

Hint:

Net work in a cycle equals the area enclosed on the P-V diagram.

Answer 1

The Correct Option is A

Step 1: Formula-first approach
$W_{net}=\dfrac{1}{2}\times\Delta V\times\Delta P$ for a triangular loop.

Step 2: Substitute
$\Delta V=4$ and $\Delta P=3$ in the figure's units, so $W_{net}=\dfrac{1}{2}\times 4\times 3=6$ units.

Step 3: Convert
Using the scale of the axes, 6 units correspond to 600 J. The larger values 1200 J and 1800 J would result from taking the full rectangle.

Final Answer:
The enclosed triangle has area equal to 600 J. \[ \boxed{\text{(A) }600\ \text{J}} \]