Problema Solution

The volume, V, of a gas varies inversely as the pressure, P, on it. If the volume is 180 cm3 under pressure of 40 kg/cm2, what pressure has to be applied to have a volume of 360 cm3 ?

Answer provided by our tutors

If the volume, V varies inversely as the pressure P we can write


V = k/P, where k is constant


thus k = V*P and P = k/V


If V = 180 cm3 then P = 40 kg/cm2 and we can find k


k = 180 * 40


If V = 360 cm3 we need to find P


P = k/V


P = 180*40/360


P = 30 kg/cm2


we have to apply pressure of 30 kg/cm2 to have a volume of 360 cm3.