Total traslational kinetic energy problem

[amandamarie29]

Homework Statement

What is the total translational kinetic energy in a classroom filled with nitrogen at 1.01 x 10^5 Pa and 20.7 degrees C? The dimensions of the classroom are 4.60 m x 5.20 m x 8.80 m.

Homework Equations

Translational kinetic energy can be expressed as
Et = 1/2 mv2 (1)
where
Et = kinetic translation energy (Joule, ft lb)
m = mass (kg, slugs)
v = velocity (m/s, ft/s)
one slug = 32.1740 pounds (as mass) - lbm

The Attempt at a Solution

this is as far as i got..

 

[supratim1]

use the Maxwell–Boltzmann distribution formula...that is the equation you need to use.