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Q.

The optical rotation of $α - D$ fructose is $- 21^{0}$ and that of its $β$ -form is $- 133^{0}$ . The equilibrium mixture of these anomers has an optical rotation of $- 92^{0}$ . What is the % of $α -$ form (upto one decimal place) in its equilibrium mixture?

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answer is 36.6.

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Detailed Solution

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Let x be the % of $α -$ form in the equilibrium $- 21 x - 133 (100 - x) = - 92 \times 100$ $x = 36.6 %$

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The optical rotation of α−D fructose is −210 and that of its β-form is −1330. The equilibrium mixture of these anomers has an optical rotation of −920. What is the % of α-form (upto one decimal place) in its equilibrium mixture?