The magnetic Brayton cycle in the text was analyzed assuming Curie law. Carry out this analysis when the magnetization is given by the classical Langevin theory
2. The anomalous expansion of water at 4◦ C makes a Carnot cycle operating in the vicinity of this temperature, say between 3◦ C and 5◦ C, rather unusual. As both the isothermal expansion at the higher temperature and the isothermal contraction at the lower temperature absorb heat (when pressures are low enough), making it appear that heat is entirely converted into work, violating the second law. Analyse this situation and show there is no such violation.
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