Why are W and V interchangeable in the Boltzman formula?

Boltzmann Equation for Entropy:

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Leo_Navejas_3B
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Why are W and V interchangeable in the Boltzman formula?

Postby Leo_Navejas_3B » Tue Jan 24, 2017 12:22 pm

In lecture we saw that
So why is that the same as ?

mikezargari
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Re: Why are W and V interchangeable in the Boltzman formula?

Postby mikezargari » Tue Jan 24, 2017 12:47 pm

I believe because W is simply the number of different ways or combinations in which atoms can in a sense exist. Using that definition of W we can assume that if the volume has doubled then so have the number of different ways in which the atoms can orient themselves. If V2/V1 = 2/1 then W2/W1 = 2/1.

Sophia Rawson 1C
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Re: Why are W and V interchangeable in the Boltzman formula?

Postby Sophia Rawson 1C » Tue Jan 24, 2017 12:53 pm

I don't know that they will always be interchangeable but in the example given during lecture the degeneracy (W) was interchangeable with volume because he said that the volume doubled. Doubling the volume therefore making 2x the available positions. This means that V2/V1=2 and W2/W1 are both equal to 2.


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