# A gas is taken through the cycle ABCA, as shown. What is the net work done by the gas? Option 1) -2000  J Option 2) 2000 J Option 3) 1000 J Option 4) Zero

As we learnt in

Work done in cyclic process -

It is the area under the cycle.

- wherein

Work is positive if cycle is clock wise. Work is negative if cycle is anti clock wise.

(for P - V diagram)

The given  diagram is a P-V indicator diagram. Work done for P-V indicator diagram is area of the cycle.

Area of cycle $= \frac{1}{2}\times 5\times 10^{-3}\times 4\times 10^{5} J$

$W = 1000J$

Work is positive as cycle is clockwise.

Correct option is 3.

Option 1)

-2000  J

This solution is incorrect.

Option 2)

2000 J

This solution is incorrect.

Option 3)

1000 J

This solution is correct.

Option 4)

Zero

This solution is incorrect.

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