Question

Oxygen gas with a density of 3kgm^-3 exert a pressure of 3*10⁶ Pa on the walls of its container. What is the root mean square velocity of oxygen molecules?

 

GK

Answer 1

We know that: $P=\frac{1}{3}\rho v^2$ where $P$ is pressure, $\rho$ is density, $v$ is velocity.

$3\times10^6=\frac{1}{3}\times3\times v^2\\ \Rightarrow v^2=3\times 10^6\\ \Rightarrow v=\sqrt3\times10^3 m/s\\ \Rightarrow v=1000\sqrt3 \ m/s$