Q. 93.7( 3 Votes )

The rms speed of A. 125 ms–1

B. 2000 ms–1

C. 8000 ms–1

D. 31 ms–1

Answer :

Root mean square velocity of gas is given as


vrms =


where R=gas constant whose value is 8.31 J/mol K


T=temperature of gas


M= molar mass of molecule of gas


rms speed of oxygen = …(i)


rms speed of hydrogen= …(ii)


Given:


vrms(o)=500m/s


and we know molar mass of oxygen =M(o)=32


molar mass of hydrogen=M(H)=2


Diving equation (i) and (ii) we get



Since speed of both gases must be calculated at same temperature this equation will reduce to





m/s ()


Root mean square velocity of hydrogen is 2000m/s.

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