If a gas contains only three molecules that move with velocities of 100,200,500 ~ms ⁻¹ . What is the rms velocity of that gas in ms ⁻¹ ?

Step-by-step solution

C₁=100 ~ms ⁻¹, C₂=200 ~ms ⁻¹, C₃=500 ~ms ⁻¹ rms velocity (C)= ? rms velocity (C)= C₁^2+C₂^2+C₃^2 n = (100)^2+(200)^2+(500)^2 3 = 100000 =100 10 ~ms ⁻¹