Question

A mass of gas under constant pressure occupies a volume of 0.5 m3 at a temperature of 20°C. Using the formula for cubic expansion, what will be the volume at a temperature of 45°C without a change in pressure?

A. 0.0228938 m3
B. 0.0457875 m3
C. 0.5228938 m3
D. 0.5457875 m3

Answer 1

To solve this we assume that the gas inside the balloon 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 = 318.15 x 0.5 / 293.15

V2 = 0.5457875 m³