Question

A bulb contains one mole of hydrogen mixed with one mole of oxygen at temperature T. The ratio of rms values of velocity of hydrogen molecules to that of oxygen molecules is?

(a) 1:16

(b) 1:4

(c) 4:1

(d) 16:1

I have been asked this question in an internship interview.

The origin of the question is Kinetic Theory of Gases in portion Kinetic Theory of Gases of Engineering Physics I

Answer 1

Right answer is (c) 4:1

Best explanation: vrms=√(RT/m)

For constant temperature,

(vrms (H2))/(vrms (O2))=√(M(O2)/M(H2))=√(32/2)=4:1.