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The optical rotation of the α -form of a pyranose is + 150 . 7 ° , that of the β -form is + 52.8 ° . In solution an equilibrium mixture of these anomers has an optical rotation of + 80.2 ° . The percentage of the α -form in equilibrium mixture is

Options

  1. A28%
  2. B32%
  3. C68%
  4. D72%

Correct answer

A. 28%

Step-by-step solution

Let the percentage of α -form be X 150.7 ( X ) + 52.8 ( 1 - X ) = + 80.2 150.7 X + 52.8 - 52.8 X = + 80.2 97.9 X = 27.4 X = 0.279 = 0.28 ≈ 28 %

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