First slide
Rms speed
Question

The rms speed of oxygen molecules (O2) at a certain temperature T (degree absolute) is v. If the temperature is doubled and oxygen gas dissociates into atomic oxygen, what is its rms speed in atomic form?

Moderate
Solution

The rms speed is given by v=3RTMw.
When the temperature is doubled, the new temperature T’ = 2T and oxygen (O2) dissociates into atomic oxygen, then molecular weight M'w=Mw2
Therefore, 
v'=3RT'M'w=3R2TMw2=43RTMw v'=23RTMw=2v Hence, vOrms=2vO2rms

 

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