## Formula

$\Delta U=q+w$

K Stefanescu 2I
Posts: 68
Joined: Fri Sep 29, 2017 7:04 am

### Formula

Where did U=(3/2)nRT come from? How was it derived?

Nina Gautam 1K
Posts: 52
Joined: Fri Sep 29, 2017 7:04 am

### Re: Formula

That is the equation for the internal energy of an ideal gas. Here is a very useful video link describing it clearly: https://www.khanacademy.org/science/phy ... -u-3-2-nrt
Hope this helps!

Ryan Sydney Beyer 2B
Posts: 82
Joined: Fri Sep 29, 2017 7:07 am
Been upvoted: 1 time

### Re: Formula

The 3/2 is a number specific to monoatomic ideal gases. R, the ideal gas constant, is avogadro's number * Boltzmann's constant. This equation can be expressed in a different way as $E = (3NK_{b}T)/2$, where N in the number of molecules. This shows that there is a direct relation between the number of molecules and the thermal energy. Also a relationship between temperature and thermal energy is present here.