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  4. A gas undergoes the cyclic process shown in figure .The cycle is repeated 100 times per minute. The power generated is

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Q. A gas undergoes the cyclic process shown in figure .The cycle is repeated $100$ times per minute. The power generated isPhysics Question Image

UPSEEUPSEE 2016

Solution:

Work done per cycle is given by area of the PV curve
$=\frac{1}{2} \times(30-10)(8-2)$ [from given]
$=\frac{1}{2} \times 20 \times 6=60\, J$
The cycle is repeated 100 times, so work done
$=60 \times 100=6000\, J$
As we know,
Power $=\frac{\text { Work done}}{\text {Time taken}}$
$=\frac{6000}{60}=100\, W$