# How do you work out the total translational kinetic energy of N2 gas?

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What is the total translational kinetic energy in a test chamber filled with nitrogen (#N_2# ) at #2.23×10^5# Pa and #20.7°C# ?

The dimensions of the chamber are #1.00 m × 6.00 m × 6.50 m. #

The atomic weight of nitrogen is #28.0# g/mol, Avogadro's number is #6.022 × 10^23# molecules/mol and the Boltzmann constant is #1.38 × 10^-23# J/K.

What is the total translational kinetic energy in a test chamber filled with nitrogen (

The dimensions of the chamber are

The atomic weight of nitrogen is

##### 1 Answer

Mar 11, 2018

75 J

#### Explanation:

Volume of the chamber(

Pressure=

Temp=293.7 K

BY Equation of state;

n=

total molecules=3.5696*6.022

now energy for Each diatomic molecule

=

For a diatomic gas degree of freedom =5

Therefore energy= (no of molecule) *(energy of each molecule)

Energy=

=74.168 J