Consider a binary alloy of A atoms and B atoms that can exist in a solid phase or a liquid phase. This alloy can also exist in TWO DIFFERENT PHASES SIMULTANEOUSLY: solid and liquid. The system is composed of one mole of atoms, some of which are A atoms and some of which are B atoms. Take GA and GB as the molar Gibbs free energy of pure A and pure B respectively. XA and XB are the molar fractions of A and B atoms respectively. The atoms crystallize in identical crystal structures when they are solid. (d) Consider the circumstance where the solid and the liquid co-exist. (i) Draw schematically the molar Gibbs free energy of the solid and the molar Gibbs free energy of the liquid for this phase. Label on the y-axis a point (XB) that is in the mixed solid and liquid state. (ii) At the composition XB, label with number 1 the Gibbs free energy of the liquid state, with number 2 the Gibbs free energy of the solid state and with number 3 the Gibbs free energy of the mixed solid and liquid state.
4. Consider a binary alloy of A atoms and B atoms that can exist in a solid phase or a liquid phase. This
alloy can also exist in TWO DIFFERENT PHASES SIMULTANEOUSLY: solid and liquid.
The system is composed of one mole of atoms, some of which are A atoms and some of which are B
atoms. Take GA and GB as the molar Gibbs free energy of pure A and pure B respectively. XA and XB are
the molar fractions of A and B atoms respectively.
The atoms crystallize in identical crystal structures when they are solid. (d) Consider the circumstance where the solid and the liquid co-exist.
(i) Draw schematically the molar Gibbs free energy of the solid and the molar Gibbs free energy
of the liquid for this phase. Label on the y-axis a point (XB) that is in the mixed solid and liquid
state.
(ii) At the composition XB, label with number 1 the Gibbs free energy of the liquid state, with
number 2 the Gibbs free energy of the solid state and with number 3 the Gibbs free energy of
the mixed solid and liquid state.
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