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The rms speed of oxygen at room temperature is about 500m/s The speed of hydrogen at the same temperature is about

a
5000m/s
b
2000m/s
c
4000m/s
d
1000 m/s

detailed solution

Correct option is B

The rms speed is given by vrms=3RTMwat constant temperature vrms∝1MwRatio of Vrms of Oxygen and hydrogen,(Vrms)O2(vrms )H2=MH2MO2 ⇒500(Vrms)=232=14=14⇒(Vrms)=2000m/s

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