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Percent mix of rotational isomers

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Q1. à¿-D-Galactopyranose has [à¿]D = +150.7o, and à¿-D-galactopyranose has [à¿]D = +52.8o. When either of them is dissolved in water and allowed to reach equilibrium, the specific rotation of the solution will be +80.2o. What are the percentages of each anomer at equilibrium?

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Solution Preview

OK...your basic idea is in the neighborhood...but your approach is wrong.

Let us use A & B (for the alpha, beta values of 150.7 and 52.8 respectively) to set the problem up
and X & Y for ...

Solution Summary

An algebraic manipulation to ascertain the percent components of a mixture.