Find the rms speed of the molecules of a sample of n2 (diatomic nitrogen) gas at a temperature of 32.5°c.

The rms speed of a gas can be calculated using the following rule:

Vrms = sqrt[ (3RT) / M] where

R is the gas constant = 8.314 J K^-1 mol^-1

T is the temperature = 32.5 + 273 = 305.5 degree kelvin

M is the molar mass = 2*14 = 28 grams = 0.028 kg

Substitute with the givens in the equation to get the rms speed as follows:

Vrms = sqrt [ (3*8.314*305.5) / 0.028]

Vrms = 521.665 m/sec