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?

Jun 1, 2018

Recall,

$P V = n R T$

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

$\implies {V}_{1} / {T}_{1} = \frac{n R}{P} = {V}_{2} / {T}_{2}$

$\implies {V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$

Hence,

${V}_{2} = \frac{{V}_{1} {T}_{2}}{T} _ 1 \approx 10.5 \text{L" * (10^3"mL")/"L" approx 10.5*10^3"mL}$

is the volume when the temperature is reduced.