Figure 4B.1 gives a schematic representation of how the chemical potentials of the solid, liquid, and gaseous phases of a substance vary with temperature. All have a negative slope, but it is unlikely that they are truly straight lines as indicated in the illustration. Derive an expression for the curvatures (specifically, the second derivatives with respect to temperature) of these lines. Is there a restriction on the curvature of these lines? Which state of matter shows the greatest curvature? 

Data in Figure 4B.1

Transcribed Image Text:

Chemical potential, μ Solid Solid stable T₁ Liquid Liquid stable T₂ Temperature, T Vapour Vapour stable