An ideal gas undergoes cyclic process ABCDA as shown in given P-V diagram. The amount of work done by the gas is

Question

An ideal gas undergoes cyclic process ABCDA as shown in given P-V diagram. The amount of work done by the gas is <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/f17440e74b9c762ebaca22f086054fb4-.png" /> (A) 6 P0V0 (B) -2 P0V0 (C) +2 P0V0 (D) +4 P0V0

Tardigrade Admin · Accepted Answer

Work done by the gas is equal to area of rectangle ABCDA, (figure). =A B × B C=(2 V0) P0=2 P0 V0 As the trace is anticlockwise, this work is done on the gas. ∴ Work done by the gas =-2 P0 V0

Q. An ideal gas undergoes cyclic process $A BC D A$ as shown in given $P - V$ diagram. The amount of work done by the gas is

$6 P_{0} V_{0}$

$- 2 P_{0} V_{0}$

$+ 2 P_{0} V_{0}$

$+ 4 P_{0} V_{0}$

Work done by the gas is equal to area of rectangle $A BC D A$ , (figure).
$= A B \times BC = (2 V_{0}) P_{0} = 2 P_{0} V_{0}$
As the trace is anticlockwise, this work is done on the gas.
$∴$ Work done by the gas $= - 2 P_{0} V_{0}$

Q. An ideal gas undergoes cyclic process ABCDA as shown in given P−V diagram. The amount of work done by the gas is

6P0​V0​

−2P0​V0​

+2P0​V0​

+4P0​V0​