Engineering
Chemistry
Optical Isomerism
IUPAC Nomenclature of Organic Compound
Homologous series
Question

A mixture of enantiomers of Butan-2-ol showed specific rotation of 6.76°. What is percentage composition of d-isomer in mixture if specific rotation of pure enantiomer is 13.52°?

20 %

25 %

75 %

55 %

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Solution
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Optical purity = Observedspecificrotationspecific  rotation  of  pure  enantiomer × 100
optical purity of d-isomer = 6.7613.52×100 = 50%
optical purity + racemic mix = 100
racemic mixture = 100 – 50 = 50%
% d isomer = 25%
    & % l isomer = 25%   
% composition of d-isomer = (50 + 25) % = 75%