what pressure has to be applied

Question

The volume V of a gas varies inversely as the pressure P on it. If the volume is 250cm3 under pressure of 35kg/cm2 , what pressure has to be applied to have a volume of 175cm3?

Answer 1

With the volume of a gas varying inversely with pressure, the product of Volume and Pressure is a constant.

P₁ x V₁ = P₂ x V₂ P₁ = 35kg/cm² V₁=250 cm³ V₂ = 175 cm³ P₂ =?

35 x 250 = 175 x P₂ P₂ = 50 kg/cm²