Question

1. (12 %) Sketch qualitatively and indicate the relevant natural scales on your graphs for the following situations:

1. The entropy per particle of a semiclassical ideal gas as a function of the gas density at fixed temperature;  
2. The entropy per particle of a semiclassical ideal gas as a function of temperature at fixed density;  
3. The entropy of a 1/2 spin as a function of the external magnetic field strength at fixed temperature;
4. The entropy of a 2-state system with the energy gap Δ as a function of temperature

Answer 1