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# Boltzmann Factor watch

1. hey, can anyone explain to me what e and kT are in:

exp (-e/kT)

also what would happen if:
e>kT
e<kT
and e = kT?

thanks.

Rep good answer (not worth much anyway though)
2. (Original post by Mathemagician)
hey, can anyone explain to me what e and kT are in:

exp (-e/kT)

also what would happen if:
e>kT
e<kT
and e = kT?

thanks.

Rep good answer (not worth much anyway though)
exp(-E/kT) [note capital E] is proportional to the probability of finding a particle with E energy at temperature T.
That is, if I took a random particle at 300K. There is a exp(-1J/k300k) that it has 1J of energy or more.
If E = kT then the probability of finding a particle with greater or equal to E energy is 1/e or exp(-1).
If E>kT then the probabilityof finding a particle with greater or equal to E energy is less than 1/e or exp(-1).
If E<kT then the probabilityof finding a particle with greater or equal to E energy is more than 1/e or exp(-1).

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