Total traslational kinetic energy problem

AI Thread Summary
To calculate the total translational kinetic energy in a classroom filled with nitrogen at 1.01 x 10^5 Pa and 20.7 degrees C, the Maxwell-Boltzmann distribution formula is essential. The classroom dimensions are 4.60 m x 5.20 m x 8.80 m, which can be used to determine the volume and, subsequently, the number of nitrogen molecules present. The translational kinetic energy is given by the equation Et = 1/2 mv², where m represents the mass and v the velocity of the gas molecules. The discussion emphasizes the need to apply the correct equations to find the solution. Understanding the properties of nitrogen and its behavior at the given conditions is crucial for accurate calculations.
amandamarie29
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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..
 
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use the Maxwell–Boltzmann distribution formula...that is the equation you need to use.
 

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