Heat and Thermodynamics 5 Question 27

28. 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

(1983, 1M)

(a) $p V$

(b) $2 p V$

(c) $\frac{1}{2} p V$

(d) zero

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Answer:

Correct Answer: 28. (a)

Solution:

  1. Work done in a cyclic process $=$ area between 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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