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Question

The optical rotation of the α form of pyranose is +150.70, that of the β form is +52.80. In solution an equilibrium mixture of these anomers has an optical rotation of +80.20. The percentage of the α - form in equilibrium mixture is:

A
28%
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B
32%
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C
68%
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D
72%
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Solution

The correct option is A 28%
Let the fraction of α - form be x
therefore; ($+80.2^0) = x * (+150.7^0) + (1 - x)(52.8^o)$
80.2=150.7x+52.852.8x
80.2=97.9x+52.8
x=0.2798
The fraction form of α- form is 0.2798
Percentage of α- form
=0.2798100
=27.98%
=28%

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