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Relationship between Refractive index and Mole Fraction

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How can you use refractive indices to calculate weight % composition of a distillate and its residue? How can you convert the weight % composition to mole fractions? Could you please show me how they relate in mathematical form?

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You need to take into account the total volume of your distillate and the residue, as well as the total volume of the mixture, to calculate the volume percent. ...

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