Which gas is faster?

Question

If I have a 100 ml flask of oxygen gas at 300k and 1 atm, and a 200 ml flask of hydrogen gas at 200k and 2 atm, which is faster and why?

Answer 1

Pressure does not affect the kinetic energy or the velocity of gas molecules, so you can ignore that variable. The velocity is directly related to temperature and inversely related to molar mass. Thus the root mean square velociy = sqrt (3RT/M)

For O₂ plug in 300 for T and 32 for M and find RMSV

For H₂ plug in 200 for T and 2 for M and find RMSV