Question

Find r.m.s velocity of three molecules having velocities 10 km/s, 20 km/s and 30 km/s.
(Ans : 21.60 km/s)

Answer 1

r.m.s. velocity of three molecules= √{(10)^2+(20)^2+(30)^2}÷3 = 21.60m/sec.

Answer 2

Hey dear,

# Answer -

21.60 km

# Explanation -

• Given -

v1 = 10 km/s

v2 = 20 km/s

v3 = 30 km/s

• Solution -

RMS velocity is calculated by -

vrms = √(v1^2 + v2^2 + v3^2)/3

vrms = √(10^2 + 20^2 + 30^2)/3

vrms = √(100+400+900)/3

vrms = √(1400/3)

vrms = √466.7

vrms = 21.60 km/s

Therefore, rms velocity of given gas is 21.60 km/s.

Hope this helped you.