B. A newly isolated natural product was shown to be optically active. If a solution of 2.0 g in 10 mL of ethanol in a 50 cm tube gives a rotation of +2.57°, what is the specific rotation of this natural product?

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**Problem Statement**

A newly isolated natural product was shown to be optically active. If a solution of 2.0 g in 10 mL of ethanol in a 50 cm tube gives a rotation of +2.57°, what is the specific rotation of this natural product?

---

To calculate the specific rotation (\([\alpha]\)) of the natural product, use the formula:

\[
[\alpha] = \frac{\alpha}{l \cdot c}
\]

Where:
- \([\alpha]\) is the specific rotation.
- \(\alpha\) is the observed rotation (+2.57°).
- \(l\) is the path length of the tube in decimeters (50 cm = 5.0 dm).
- \(c\) is the concentration of the solution in grams per milliliter (2.0 g/10 mL = 0.2 g/mL). 

Substitute the values into the formula to find the specific rotation.
Transcribed Image Text:**Problem Statement** A newly isolated natural product was shown to be optically active. If a solution of 2.0 g in 10 mL of ethanol in a 50 cm tube gives a rotation of +2.57°, what is the specific rotation of this natural product? --- To calculate the specific rotation (\([\alpha]\)) of the natural product, use the formula: \[ [\alpha] = \frac{\alpha}{l \cdot c} \] Where: - \([\alpha]\) is the specific rotation. - \(\alpha\) is the observed rotation (+2.57°). - \(l\) is the path length of the tube in decimeters (50 cm = 5.0 dm). - \(c\) is the concentration of the solution in grams per milliliter (2.0 g/10 mL = 0.2 g/mL). Substitute the values into the formula to find the specific rotation.
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