Question

If the density of oxygen is 1.44 kg/m³ at a pressure of 10⁵ N/m², find the root mean square velocity of oxygen molecules.

Answer 1

Data: ρ = 1.44 kg/m³, P = 10⁵ N/m²

∴ The root mean square velocity of oxygen molecules,

`"v"_"rms" = sqrt("3P"/rho) = sqrt((3xx10^5)/1.44)` m/s

`= sqrt(2.083 xx 10^5) = sqrt(20.83 xx 10^4)`

= 4.564 × 10² m/s