Question

The volume of a gas varies inversely as the pressure on it. If the volume is 240 cm3 under a pressure of 30 kg/cm2, what pressure has to be applied to have a volume of 160 cm3

Answer 1

Given,

The volume of a gas varies inversely as the pressure on it. If the volume is 240 cm³ under a pressure of 30 kg/cm².

To find,

What pressure has to be applied to have a volume of 160 cm³.

Solution,

ATQ,

Volume of a gas is inversely proportional to the pressure. Mathematically,

$V\propto \dfrac{1}{P}$

or

$V_1P_1=V_2P_2$

We have, V₁ = 240 cm³, V₂ = 160 cm³, P₁ = 30 km/cm², P₂=?

$P_2=\dfrac{V_1P_1}{V_2}\\\\P_2=\dfrac{240\times 30}{160}\\\\P_2=45\ kg/cm^2$

So, the new pressure is $45\ kg/cm^2$.