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
$=\frac{1}{2}\times (30-10)(8-2)$ [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,
$Power=\frac{Workdone}{Timetaken}$
$=\frac{6000}{60}=100W$