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

Question

A gas undergoes the cyclic process shown in figure .The cycle is repeated 100 times per minute. The power generated is (A) 60W (B) 120W (C) 240W (D) 100W

Tardigrade Admin · Accepted Answer

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{Work done}{Time taken}

= \frac{6000}{60} = 100 W

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

$60 W$

$120 W$

$240 W$

$100 W$

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 $= \frac{Work done}{Time taken}$
$= \frac{6000}{60} = 100 W$

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

60W

120W

240W

100W

Work done per cycle is given by area of the PV curve =21​×(30−10)(8−2) [from given] =21​×20×6=60J The cycle is repeated 100 times, so work done =60×100=6000J As we know, Power =Time taken Work done​ =606000​=100W

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

$60 W$

$120 W$

$240 W$

$100 W$