## U = (3/2)nRT

$\Delta U=q+w$

Ariel Cheng 2I
Posts: 67
Joined: Fri Sep 28, 2018 12:29 am

### U = (3/2)nRT

When do we use the equation U = 3/2 nRT? I saw this on the constants and equations sheet but I have no idea when to use it.

Rebecca Altshuler 1D
Posts: 61
Joined: Fri Sep 28, 2018 12:15 am

### Re: U = (3/2)nRT

This is the formula calculating for work of a monatomic gas

Faith Fredlund 1H
Posts: 68
Joined: Fri Sep 28, 2018 12:18 am

### Re: U = (3/2)nRT

The 3/2R part of this equation comes from the fact that the molar internal energy of a monatomic ideal gas as a temperature T is the molar heat capacity of that gas at a constant volume (C˅(V,m)).

So, you would use this equation when you are finding the internal energy of a monatomic ideal gas at a constant volume when given the amount of moles (n) occupying the space.