Ion Exchange Between Salts in a Solution

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If you have two alkaline Earth metal-halide salts in a solution (for example potassium iodide and sodium chloride), when you boil off the water will you find that new salts (In this case potassium chloride and sodium iodide) have formed? Will the most electronegative and least electronegative ions seek each other out? Will you end up with only two salts at the end, assuming you had equal proportions of the salts at the beginning, or will you end up with various similar concentrations of 4 salts?
 
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What will happen depends mostly on solubilities - less soluble salts will start to crystallize first, followed by the less soluble ones.

http://en.wikipedia.org/wiki/Fractional_crystallization_(chemistry )
 
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Also, do enthalpies of formation have any meaningful effect on which salts result? Could you theoretically have a precipitation reaction if you don't remove the water?