Answer to Question #298001 in Molecular Physics | Thermodynamics for Impeccable

Question

The density of nitrogen at S.T.P is1.251kgm^-3. calculate the r.m.s. velocity of nitrogen molecules.

Answer 1

Density

$\rho=1.251kg/m^3$

STP

Pressure

$P=1.013\times10^{5}pa$

We know that

$v_{RMS}=\sqrt\frac{3P}{\rho}$

Put value

$$v_{RMS}=\sqrt\frac{3\times1.013\times10^5}{1.251}=4.92\times10^2m/sec$$