Below 0.3 K the slope of the 3He solid-liquid phase
Chapter 5, Problem 34P(choose chapter or problem)
Problem 34P
Below 0.3 K the slope of the 3He solid-liquid phase boundary is negative (see Figure 5.13).
(a) Which phase, solid or liquid, is more dense? Which phase has more entropy (per mole)? Explain your reasoning carefully.
(b) Use the third law of thermodynamics to argue that the slope of the phase boundary must go to zero at T = 0. (Note that the 4He solid-liquid phase boundary is essentially horizontal below 1 K.)
(c) Suppose that you compress liquid 3He adiabatically until it becomes a solid. If the temperature just before the phase change is 0.1 K, will the temperature after the phase change be higher or lower? Explain your reasoning carefully.
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