## KbNa

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

Jasmin Argueta 1K
Posts: 69
Joined: Fri Sep 28, 2018 12:16 am

### KbNa

During my PLF I was taught that in regards to the equation S=kblnW^na that KbxNA(moles) gets you the gas constant. Can anyone explain how and why Boltzmann constant and Avogadros number gets the gas constant.

Brian Chhoy 4I
Posts: 66
Joined: Fri Sep 28, 2018 12:16 am

### Re: KbNa

The Boltzmann constants is in terms of per particle. Thus to get to the Boltzmann constants' units of J/K, you would just have to divide the gas constant (8.315 J/(mol*K)) by avagadro's number to get rid of the moles and get it into the per particle terms.

Charlene Datu 2E
Posts: 62
Joined: Wed Sep 11, 2019 12:16 am

### Re: KbNa

Does this mean that the Boltzmann constant is only used for gases? If so, does this translate to the Boltzman equation only being used for gas and why?

Subashni Rajiv 1K
Posts: 101
Joined: Wed Sep 18, 2019 12:16 am

### Re: KbNa

The Boltzmann constant is only used for gases because it relates the average KE of particles in a gas with the gas's temperature.

705302428
Posts: 50
Joined: Sat Aug 24, 2019 12:16 am

### Re: KbNa

Yes the Boltzmann constant is only used for gases.

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