# The volume V of gas varies inversely as the pressure P on it. The volume of a gas is 200 cm^3 under a pressure of 21 kg/cm^2. What will it's volume under a pressure of 30/kg/cm^2?

Oct 27, 2016

140 $c {m}^{2}$

#### Explanation:

Boyle's law states that for a fixed mass of gas at constant temperature, the absolute pressure and the volume of a gas are inversely proportional.
$p 1 \cdot v 1 = p 2 \cdot v 2$

So,
$p 1 \cdot v 1 = p 2 \cdot v 2$
21 kg/$c {m}^{2}$ × 200 $c {m}^{3}$ = 30 kg/$c {m}^{2}$× v2

v2 = 140 $c {m}^{2}$