First slide

Work done by gas

Question

P-V diagram of an ideal gas is as shown in the figure. Work done by the gas in the process ABCD is

Moderate

A

$4 P_{0} V_{0}$
B

$2 P_{0} V_{0}$
C

$3 P_{0} V_{0}$
D

$P_{0} V_{0}$

Solution

$W_{AB} = - P_{0} V_{0}$
$W_{BC} = 0$
and $W_{CD} = 4 P_{0} V_{0}$
$∴ W_{ABCD} = - P_{0} V_{0} + 0 + 4 P_{o} V_{o}$
= 3 $P_{0} V_{0}$

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