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A compound has a specific rotation of -39.0. A solution of

Chapter 4, Problem 75P

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QUESTION:

Problem 75P

A compound has a specific rotation of -39.0. A solution of the compound (0.187 g/100 mL) has an observed rotation of -6.52o when placed in a polarimeter tube 10 cm long. What is the percent of each enantiomer in the solution?

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QUESTION:

Problem 75P

A compound has a specific rotation of -39.0. A solution of the compound (0.187 g/100 mL) has an observed rotation of -6.52o when placed in a polarimeter tube 10 cm long. What is the percent of each enantiomer in the solution?

ANSWER:

Solution:

Here we have to calculate the percent of each enantiomer present in the solution.

Enantiomers: - When a pair of molecules are a mirror image of each other is said to be enantiomers and form complementary structure i.e one compound is R and the other is S.

Specific rotation: - It is a property of chiral compound and is defined as the change in orientation of the monochromatic plane polarized light per unit distance.

Step 1

Given:

The specific rotation of an unknown compound is -39.0

Concentration = 0.187 g/100mL

Observed rotation = -6.52o 

Width of polarimeter tube  (length) = 10 cm = 1dm

It is known that the expression for observed specific rotation can be written as,

Observed specific rotation =

Now substituting the values ,

       = = -34.9o

Thus the observed specific rotation is found to be -34.9o.

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