A gas is taken through the cycle A → B → C → A, as shown. What is the net work done by the gas? (a) Zero (b) - 2000 J (c) 2000 J (d) 1000 J

Answer: (d). Net work = area of triangle ABC (clockwise, so positive). Base along V: (7 - 2) × 10⁻³ = 5 × 10⁻³ m ³; height along P: (6 - 2) × 10⁵ = 4 × 10⁵ Pa. W = 1/2 × 5 × 10⁻³ × 4 × 10⁵ = 1000 J So the answer is (d) 1000 J.

A gas is taken through the cycle A → B → C → A, as shown. What is the… | NEET 2013

Q78NEET 2013Medium

P-V Diagrams & Cyclic Processes

A gas is taken through the cycle

A $\rightarrow$ B $\rightarrow$ C $\rightarrow$ A, as shown. What is the net work done by the gas?

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Answer: (d)

Net work = area of triangle ABC (clockwise, so positive).
Base along V: $(7 - 2) \times 10^{-3} = 5 \times 10^{-3}$ m $^3$ ; height along P: $(6 - 2) \times 10^{5} = 4 \times 10^{5}$ Pa.
$W = \frac{1}{2} \times 5 \times 10^{-3} \times 4 \times 10^{5} = 1000$ J
So the answer is (d) 1000 J.

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