Ideal Gas Internal Energy


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Simmi Diwanji 2B
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Joined: Fri Sep 28, 2018 12:20 am

Ideal Gas Internal Energy

Postby Simmi Diwanji 2B » Mon Feb 04, 2019 10:33 pm

Does anyone remember the explanation for why in the equation: Utotal = 3/2 nRT there is a 3/2 coefficient?

Jennifer Su 2L
Posts: 47
Joined: Wed Nov 21, 2018 12:20 am

Re: Ideal Gas Internal Energy

Postby Jennifer Su 2L » Mon Feb 04, 2019 11:08 pm

I believe he said we don't have to worry about deriving it! He didn't explain how he got 3/2 nRT.

Posts: 61
Joined: Fri Sep 28, 2018 12:26 am

Re: Ideal Gas Internal Energy

Postby jonathanjchang2E » Mon Feb 04, 2019 11:11 pm

The 3/2 coefficient comes from the equipartition theorem which states, "The average value of each quadratic contribution to the energy of a molecule in a sample at a temperature T is equal to (1/2)kT" and since there are three translational modes of motion, each giving a quadratic contribution, the equation for internal energy ends up being 3 x (1/2)kT or U=(3/2)kT.

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