Heat And Thermodynamics Ques 146
An ideal monoatomic gas is taken round the cycle $A B C D A$ as shown in the $p-V$ diagram (see figure). The work done during the cycle is equal to the area enclosed by the cycle on the $p-V$ diagram.
(1983, 1M)
(a) $pV$
(b) $2 p V$
(c) $\frac{1}{2} p V$
(d) 0
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Answer:
Correct Answer: 146.(a)
Solution:
Work done in a cyclic process $=$ area enclosed by the cycle
$$ =A B \times B C=(2 p-p) \times(2 V-V)=p V $$
NOTE
If cycle is clockwise ( $p$ on $Y$-axis and $V$ on $X$-axis) work done is positive and if it is anti-clockwise work done is negative.