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

Show Answer

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.



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