Agas has an initial volume of 21.7 l at a pressure of 0.4 atm and a temperature of 252 k. the pressure of the gas increases to 2 atm as the temperature increases to 323 k. what is the final volume of the gas?

We assume that the gas is an ideal gas. Then, we can use the ideal gas equation which is expressed as PV = nRT. The number of moles is constant so the value of PV/T  is equal to some constant. At another set of conditions, the constant is still the same. Calculations are as follows:

P1V1/T1  = P2V2/T2

V2  = P1V1T2/T1P2

V2 = 0.4(21.7)(323) / 252 (2)

V2 = 5.56 L