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Unformatted text preview: ln Pr( E 1 ) = ln ( E * )E 1 /kT Pr( E 1 ) = ZeE 1 /kT where Z is a constant independent of the energy of the small system. Since the probabilities sum to one Z = i eE i Entropy change of a Reservoir. Reservoir energy E , Temperature T . The reservoir absorbs an amount of heat Q but temperature is constant. Expand log of multiplicity in Taylor series. ln = ln ( E + Q )ln ( E ) = Q ln ( E ) E  E Since S = k ln and 1 /T = dS dE dene = 1 kT Then ln = Q = Q kT The important result for a reservoir is S = Q T...
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 Spring '10
 ROTHBERG
 Energy, Heat

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