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Preparation of a compound X leads to a mixture with 20% racemization and 80% retention. What should be the observed rotation of the mixture, if $[α]_{D} = - 12^{\circ} ?$

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+2.4°

- 9.6°

+ 9.6°

-2.4°

answer is B.

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Detailed Solution

$\begin{array}{l} α_{obs.} = % retention \times specific rotation \\ α_{obs.} = 0.80 (- 12^{\circ}) = - {9.6}^{\circ} \end{array}$

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