Heat Capacity of Ideal Gases

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Ariel Fern 2B
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Joined: Fri Aug 30, 2019 12:17 am

Heat Capacity of Ideal Gases

Postby Ariel Fern 2B » Sun Feb 09, 2020 9:19 pm

Can someone explain the reasoning as to why the heat capacity of an ideal gas at constant pressure (Cp) is 5/2 R, and why at constant volume (Cv) it is 3/2 R? I got these values from the equation sheet, but I'm unsure of the derivation of the values!

Posts: 53
Joined: Tue Nov 13, 2018 12:17 am

Re: Heat Capacity of Ideal Gases

Postby 205007651 » Sun Feb 09, 2020 9:39 pm

I think they come from a formula in the first law of thermodynamics saying that the internal energy = 3/2nRT, which in turn comes from the kinetic energy equation. From there I unfortunately don't know how to further derive.

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