Question

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

• A. $240 \, \, \text{W}$
• B. $100 \, \, \text{W}$
• C. $60 \, \, \text{W}$
• D. $120 \, \, \text{W}$

Answer 1

Answer: (B)

Work done per cycle is given by area of the PV curve
$=\frac{1}{2}\times \left(\right.30-10\left.\right)\left(\right.8-2\left.\right)$ [from given]
$=\frac{1}{2}\times 20\times 6=60 \, $
The cycle is repeated 100 times, so work done
$=60\times 100=6000$
As we know,
$Power=\frac{W o r k \, d o n e}{T i m e \, t a k e n}$
$=\frac{6000}{60}=100 \, W$