The net work done by an ideal gas going through the cycle as shown in the P - V diagram below is

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The net work done by an ideal gas going through the cycle as shown in the $P - V$ diagram below is

PhysicsThermodynamicsTS EAMCETTS EAMCET 2022 (18 Jul Shift 2)

Options:

A $0$
B $P_{1} V_{1}$
C $\frac{3}{2} P_{1} V_{1}$
D $\frac{1}{2} P_{1} V_{1}$

Solution:

2195 Upvotes Verified Answer

The correct answer is:

P_{1} V_{1}

Area enclosed by $P - V$ graph gives work done in the cycle. Therefore,
$W = \frac{1}{2} (3 P_{1} - P_{1}) (2 V_{1} - V_{1}) = P_{1} V_{1}$

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