- #1

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## Homework Statement

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I'm stuck on part (b) and (c) of the following question

## Homework Equations

## The Attempt at a Solution

The partition function was ##Z_N = 2 cosh(μBβ)## where ##β = \frac {1}{kT}##. From there I used ##U = - \frac {∂}{∂β} ln (Z_n)## to get ##U = -NμB tanh( \frac {μB}{kT})##.

But I'm stuck on the part where it says "What is the energy U if the temperature approaches infinity?" Wouldn't the energy U be zero if the temperature approaches infinity? But then what does it mean in part (c) where it's assuming we have an EXPRESSION for U in the T→∞ limit? What is that expression? And how do I go about determining the entropy S of the system at infinite temperature?