The probability of a system being in the ith mi- crostate is BE P₁ = e/Z, (14.56) where E, is the energy of the ith microstate and ẞ and Z are constants. Show that the entropy is given by S/KB = In Z+BU, where U=PE, is the internal energy. (14.57)
The probability of a system being in the ith mi- crostate is BE P₁ = e/Z, (14.56) where E, is the energy of the ith microstate and ẞ and Z are constants. Show that the entropy is given by S/KB = In Z+BU, where U=PE, is the internal energy. (14.57)
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![The probability of a system being in the ith mi-
crostate is
P₁ = e/Z,
(14.56)
where E is the energy of the ith microstate and
ẞ and Z are constants. Show that the entropy is
given by
S/kB = In Z+BU,
where U=PE is the internal energy.
(14.57)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F613fe210-8890-4f5f-abe5-0cad6919891a%2Fd49cc071-6d47-40a4-aa27-d59b1298422e%2Fpsvgha_processed.png&w=3840&q=75)
Transcribed Image Text:The probability of a system being in the ith mi-
crostate is
P₁ = e/Z,
(14.56)
where E is the energy of the ith microstate and
ẞ and Z are constants. Show that the entropy is
given by
S/kB = In Z+BU,
where U=PE is the internal energy.
(14.57)
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