We first assume that the gas is an ideal gas so we can use the relation PV= nRT where P is the pressure, V is the volume, n is the number of moles R is the gas constant and T is the temperature. In a closed system, the number of moles should be constant since mass cannot be created or destroyed. So the only thing we can manipulate here is the volume of the system. We do as follows:
PV/T = nR = k
P1V1/T1 = P2V2/T2
V2 = P1V1T2/T1P2
V2 = 1.50 (298.15) V1 / (273.15)(1.0)
V2 = 1.64V1
Therefore, the volume should be changed by a factor of 1.64 of the original volume.
