Question

A sample of hydrogen gas occupies a volume of 13.7 L when measured at 512°C and 134 torr. What is the volume of the gas in milliliters if the temperature is decreased to 328°C and the pressure remains constant?

Answer 1

Recall,

`PV = nRT`

Let's derive the proportionality equation we need according to your problem,

`=> V_1/T_1 = (nR)/P = V_2/T_2`

`=> V_1/T_1 = V_2/T_2`

Hence,

`V_2 = (V_1T_2)/T_1 approx 10.5"L" * (10^3"mL")/"L" approx 10.5*10^3"mL"`

is the volume when the temperature is reduced.