## Ideal Gas with no specific heat capacity

Boltzmann Equation for Entropy: $S = k_{B} \ln W$

Samantha Rundle 3K
Posts: 22
Joined: Fri Sep 25, 2015 3:00 am

### Ideal Gas with no specific heat capacity

I understand that when you are asked to use an ideal gas without a specific heat value, you use C(vol)=3/2R when it is monatomic, C(vol)=5/2R when it is diatomic, and C(vol)=3R when it is polyatomic. I was wondering what determines the value of the coefficient in each case.

Thank you!

204643643
Posts: 10
Joined: Wed Nov 18, 2015 3:00 am

### Re: Ideal Gas with no specific heat capacity

When someone in my discussion section asked a similar question, my TA responded by saying that the coefficients are determined by the gases' degree of freedom, where it is able to move in different directions. For monotonic gases, the three movements are only translational, whereas for other, more complex gases, movements can also include rotation.

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