Cv vs. R

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Rana YT 2L
Posts: 49
Joined: Thu Jul 27, 2017 3:01 am

Cv vs. R

Postby Rana YT 2L » Tue Jan 30, 2018 9:38 am

I was looking through the solutions manual and noticed that it uses Cv and R interchangeably for some problems involving ideal gases. Why can is it that this can happen?

Angel Gomez 1K
Posts: 36
Joined: Fri Sep 29, 2017 7:04 am

Re: Cv vs. R

Postby Angel Gomez 1K » Tue Jan 30, 2018 10:13 am

When you are measuring the change in heat, or , of an ideal gas at constant volume, the specific heat will be equal to 3/2 times the ideal gas constant. Here is the equation:
Therefore, when measuring , you replace with 3/2*R in your equation
What you may be seeing instead is replacing C directly with R, and then multiplying the entire equation (or your final answer) with 3/2. This is also valid.

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