First slide

Graphs

Question

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

Moderate

A

6P_oV_o
B

-2P_oV_o
C

+2 P_oV_o
D

+4 P_oV_o

Solution

$d W_{c y c l e} = W_{A B} + W_{B C} + W_{C A} + W_{B A}$
= $P_{0} (3 V_{0} - V_{0}) + 0 + 2 P_{0} (V_{0} - 3 V_{0}) + 0$
$W_{c y c l e} = 2 P_{0} V_{0}$

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