
(a)
Interpretation: Enantiomeric excess of the given solution is to be calculated.
Concept introduction: Enantiomeric excess is the excess of major enantiomer over the minor enantiomer. Enantiomeric excess is equivalent to the optical purity. Enantiomeric excess is the fraction of observed rotation of the mixture to specific rotation of the pure enantiomer.

Answer to Problem 5.64P
The enantiomeric excess for the solution with
Explanation of Solution
The specific rotation
The enantiomeric excess is calculated by the formula,
Substitute the values of specific rotation
The enantiomeric excess for the solution is
The enantiomeric excess is calculated by the formula,
Substitute the values of specific rotation
The enantiomeric excess for the solution is
The enantiomeric excess is calculated by the formula,
Substitute the values of specific rotation
The enantiomeric excess for the solution is
The enantiomeric excess for the solution with
(b)
Interpretation: The percent of each enantiomer in the given solution is to be calculated.
Concept introduction: Enantiomeric excess is the excess of major enantiomer over the minor enantiomer. Enantiomeric excess is equivalent to the optical purity. Enantiomeric excess is the fraction of observed rotation of the mixture to specific rotation of the pure enantiomer.

Answer to Problem 5.64P
For the solution with enantiomeric excess
Explanation of Solution
For the solution with enantiomeric excess 30%.
Let A be the major enantiomer and B be the minor enantiomer. The major enantiomer is
Total amount of A is
Hence, the amount of A and B is
For the solution with enantiomeric excess 50%.
Let A be the major enantiomer and B be the minor enantiomer. The major enantiomer is
Total amount of A is
Hence, the amount of A and B is
For the solution with enantiomeric excess 73%.
Let A be the major enantiomer and B be the minor enantiomer. The major enantiomer is
Total amount of A is
Hence, the amount of A and B is
For the solution with enantiomeric excess
(c)
Interpretation: The specific rotation
Concept introduction: Enantiomers are stereoisomers, which are non-superimposable images of each other. They have identical physical and chemical properties in symmetric environment. They rotate the plane-polarized light in equal amounts and in opposite directions.

Answer to Problem 5.64P
The specific rotation
Explanation of Solution
The specific rotation
Enantiomeric excess of the given solution is
(d)
Interpretation: Enantiomeric excess of the given solution is to be calculated.
Concept introduction: Enantiomeric excess is the excess of major enantiomer over the minor enantiomer. Enantiomeric excess is equivalent to the optical purity. Enantiomeric excess is the fraction of observed rotation of the mixture to specific rotation of the pure enantiomer.

Answer to Problem 5.64P
Enantiomeric excess of the given solution is
Explanation of Solution
For the solution containing
The enantiomeric excess of the solution is calculated by the formula,
Substitute the values of percentage of major and minor enantiomers in the above equation.
Hence, the enantiomeric excess of the solution is
Enantiomeric excess of the given solution is
(e)
Interpretation: The
Concept introduction: Enantiomeric excess is the excess of major enantiomer over the minor enantiomer. Enantiomeric excess is equivalent to the optical purity. Enantiomeric excess is the fraction of observed rotation of the mixture to specific rotation of the pure enantiomer.

Answer to Problem 5.64P
The
Explanation of Solution
For the solution containing
The enantiomeric excess of the solution is
The specific rotation
The enantiomeric excess is calculated by the formula,
Substitute the values of specific rotation
Hence, the
The
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