Charles law states that there is a directly proportional relationship between the volume and the temperature of the gas at certain pressure.
Therefore,
V1/T1 = V2/T2
V1 is unknown
T1 = 159K
V2 = 15.5m3
T2 = 456K
V1/159 = 15.5/456
V1 = (15.5*159)/456 = 5.404m3.
When the volume of a gas is changed from 5.404 m3 to 15.5 m3 the temperature will change from 159 K to 456 K.
