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Optical activity of an enantiomeric mixture is $$+12.6°$$ and the specific rotation of $$(+)$$ isomer is $$+30°$$. The optical purity is ______ $$\%$$.
Correct Answer: 42
We are given:
- Observed optical rotation of the enantiomeric mixture = $$+12.6°$$
- Specific rotation of the (+) isomer = $$+30°$$
Optical purity (enantiomeric excess) is defined as:
$$\text{Optical purity} = \frac{\text{Observed rotation}}{\text{Specific rotation of pure enantiomer}} \times 100\%$$
Substituting the values:
$$\text{Optical purity} = \frac{12.6}{30} \times 100$$
$$\text{Optical purity} = 0.42 \times 100 = 42\%$$
Therefore, the optical purity is $$\textbf{42}$$ %.
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