Kinetic Theory of Gases Problem

AI Thread Summary
The problem requires determining the temperature at which the root mean square (rms) speed of hydrogen molecules equals that of oxygen molecules at 300K. The key concept is that temperature is directly proportional to the average translational kinetic energy of gas molecules. The rms speed depends on both temperature and molecular mass, which can be expressed using the kinetic theory of gases formula. The solution indicates that the required temperature for hydrogen is 19K. Understanding the relevant formulas simplifies the problem significantly.
ucdawg12
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ok, I am having trouble understanding exactly what this problem wants from me, its asking:

At what temperature would the translational rms speed of hydrogen molecules be equal to that of oxygen molecules at 300K?

and the answer it gives me is 19K... but I really have no idea where to even start at on this problem
 
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Temperature is a measure of the average translational KE of the molecules in the gas. (They are directly proportional.) So how would the rms speed depend on temperature and mass?
 
Try searching for some formula on Kinetic theory of gases!

Once you get hold of the formula, it is very simple.

(the formula is simple too)
 

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