A gas has a volume of 590 mL at a temperature of - 55.0 C. What volume will the gas occupy at 30.0 C?

To solve this we assume that the gas is an ideal gas. Then, we can use the ideal gas equation which is expressed as PV = nRT. At a constant pressure and number of moles of the gas the ratio T/V is equal to some constant. At another set of condition of temperature, the constant is still the same. Calculations are as follows:

T1 / V1 = T2 / V2

V2 = T2 x V1 / T1

V2 = 303.15 x 590 / 218.15

V2 = 819.89 mL