The rms velocity of a He molecule in helium gas with a temperature of 20$^{\circ}$C is 1,352 m/s.What is the rms velocity of the molecule if the temperature of the gas is tripled?
A) 2,340 m/s
B) 3,640 m/s
C) 3,980 m/s
D) 4,120 m/s
E) 4,500 m/s

Question

Quizplus · Accepted Answer

The rms velocity is proportional to the square root of the temperature. Tripling the temperature increases the rms velocity by a factor of √3. Thus, 1,352 m/s * √3 ≈ 2,340 m/s.

The Rms Velocity of a He Molecule in Helium Gas ∘^{\circ}∘

The Rms Velocity of a He Molecule in Helium Gas $^{\circ}$