QUESTION 24** A system consisting of a large number N of spins is placed in a ma

Question

QUESTION 24**
A system consisting of a large number N of spins is placed in a magnetic field. For each spin, the energy difference between being aligned with and against the field is ?E. Suppose we observe that approximately half of the spins (N/2) align with the field, and half align against the field. What does this tell us about ?E?
(a) ?E << kT
(b) ?E = kT
(c) ?E >> kT




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QUESTION 25**
Suppose the conventional entropy S of a system has this dependence on its internal energy U:
S = aU2 J/K, where a = 4 × 10-7/J·K.
Note: this is not an ideal gas! Calculate the temperature when U = 5000 J.
(a) T = 250 K
(b) T = 325 K
(c) T = 400 K

Explanation / Answer

QUESTION 24** ------> (c) QUESTION 25** ------> (c)

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