For a system in which the number of particles is fixed, the reciprocal of the Kelvin temperature T is given by which of the following derivatives? (Let P = pressure, V = volume, S = entropy, and U = internal energy.)
A. (∂P/∂V)S
B. (∂P/∂S)V
C. (∂S/∂P)U
D. (∂V/∂P)U
E. (∂S/∂U)V
(GR8677 #66)
Solution:
The statistical mechanics definition of the temperature:
The reciprocal of T:
Answer: E
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