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Question

# The specific rotations of α-maltose, β-maltose and equilibrium mixture of α and β-maltose are +168∘,+112∘ and +136∘, respectively. The mole fractions of α and β-maltoses in the equilibrium mixture respectively are:

A
0.57,0.43
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B
0.43,0.57
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C
0.67,0.23
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D
0.23,0.67
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Solution

## The correct option is B 0.43,0.57Let the mole fractions of α and β - maltoses be x and (1−x) respectively.Therefore;+136=(x)∗(168o)+(1−x)(112o)136=168x+112−112x24=56xx=0.431−x=0.57Therefore, the mole fractions of α and β - maltoses in the equilibrium mixture are 0.43 and 0.57 respectively.

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