Description
Place the following gases in order of increasing average velocity at 300 K: Ar, CH4, N2, and N20.
I am very confused with this question. I thought they would be all equal because in the textbook it said that regardless of their molecular mass they will have the same average kinetic energy at the same temperature.
Explanation & Answer
Thank you for the opportunity to help you with your question!
you are right that at same temperature these all gases have same average kinetic energy, but this question asks about average velocity, means the speed at which each gas travels at 300K. for this you need to apply Graham's law formula which relate velocity of a gas with it's molar mass.
Argon:
Velocity= 1/√mAr
velocity = 1/√39.94
velocity= 0.158
Methane:
velocity= 1/√mMethane
= 1/√16
= 0.25
Nitrogen:
velocity= 1/√mNitrogen
= 1/√14
= 0.267
Nitrogen dioxide:
velocity= 1/√mNitrogen dioxide
= 1/√30
= 0.182
so, according to the above calculations the order will be;
Ar<nitrogen dioxide<methane<nitrogen
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