Question
A gas is taken through the cycle $$A \to B \to C \to A,$$ as shown. What is the net work done by the gas?
A gas is taken through the cycle $$A \to B \to C \to A,$$ as shown. What is the net work done by the gas?
A.
$$2000\,J$$
B.
$$1000\,J$$
C.
Zero
D.
$$-2000\,J$$
Answer :
$$1000\,J$$
Solution :
According to question,
Net work done = Area enclosed in $$pV$$ curve i.e. $$\Delta ABC$$
Area of $$\Delta ABC = \frac{1}{2} \times 5 \times {10^{ - 3}} \times 4 \times {10^5}\,J$$
$$ = {10^3}J = 1000\,J$$
According to question,
Net work done = Area enclosed in $$pV$$ curve i.e. $$\Delta ABC$$
Area of $$\Delta ABC = \frac{1}{2} \times 5 \times {10^{ - 3}} \times 4 \times {10^5}\,J$$
$$ = {10^3}J = 1000\,J$$
