Question

The temperature of H2 at which the rms velocity of its molecules is seven times the rms velocity of the molecules of nitrogen at 300K is?

(a) 2100K

(b) 1700K

(c) 1350K

(d) 1050K

This question was posed to me during an internship interview.

The query is from Ideal Gases topic in division Kinetic Theory of Gases of Engineering Physics I

Answer 1

Right answer is (d) 1050K

To explain I would say: vrms=√(3RT/M)

v1/v2 =√((T1 M2)/(T2 M1 ))

V(H2)/V(N2) =√((T(H2)×28)/(300×2))=7

T(H2)=(49×600)/28=1050K.