Question

The temperature of a given mass is increased from 27°C to 327°C. The rms velocity of the molecules increases ___________

(a) √2 times

(b) 2 times

(c) 2√2 times

(d) 4 times

The question was posed to me in an interview.

This interesting question is from Gases and Reactions in portion Kinetic Theory of Gases of Engineering Physics I

Answer 1

Right answer is (a) √2 times

The best I can explain: vrms  is proportional √T

v2/v1 =√(T2/T1)=√((273+327)/(273+27))=√(600/300)=√2

v2=√2 v1.