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. (a) The starting conditions are such that a partition sits between the A atoms and B atoms so they do NOT mix. (i) Write an expression for the molar Gibbs free energy for the combination of pure components. (ii) Draw schematically how the molar Gibbs free energy of the combination of pure components varies with alloy composition.
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.
(a) The starting conditions are such that a partition sits between the A atoms and B atoms so they do
NOT mix.
(i) Write an expression for the molar Gibbs free energy for the combination of pure
components.
(ii) Draw schematically how the molar Gibbs free energy of the combination of pure components
varies with alloy composition.
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