Explaining Boltzmann's Equation
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Explaining Boltzmann's Equation
What is the explanation behind Boltzmann's Equation? What exactly does it solve for?
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Re: Explaining Boltzmann's Equation
Boltzmann's equation calculates positional/residual entropy using statistics.
Its form is S=kBlnW.
W is equal to the number of microstates (how many positions an element can be in in a molecule) raised to the power of the number of molecules in the system.
kB is a constnant.
Its form is S=kBlnW.
W is equal to the number of microstates (how many positions an element can be in in a molecule) raised to the power of the number of molecules in the system.
kB is a constnant.
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Re: Explaining Boltzmann's Equation
The actual derivation for Boltzmann's equation is quite complicated and involves a lot of multivariable calc, so I would just take it for granted.
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Re: Explaining Boltzmann's Equation
We use Boltzmann's equation to calculate residual or statistical entropy within a system. This differs from the majority of calculations that we do, finding the CHANGE in entropy.
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Re: Explaining Boltzmann's Equation
I found a relatively accessible derivation of the formula here: http://www.eoht.info/page/S+%3D+k+ln+W
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Re: Explaining Boltzmann's Equation
Boltzmann's equation solves for statistical or residual entropy, and is based on the number of microstates and number of molecules in a system.
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