If a 1 g/mL solution of a mixture of compounds F and G in a 1 decimeter polarimetry cell rotates plane-polarized light 8° counterclockwise (i.e., levorotatory), which of the following is closest to the ratio of [F] : [G]? D3C CH3 H3C CD3 R F G [a] = -10° dm-¹ (g/mL)-1 (A) 90:10 (B) 80:20 (C) 20:80 (D) 10:90
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![**Problem Statement:**
If a 1 g/mL solution of a mixture of compounds F and G in a 1 decimeter polarimetry cell rotates plane-polarized light 8° counterclockwise (i.e., levorotatory), which of the following is closest to the ratio of [F] : [G]?
**Chemical Compounds:**
F:
- Structure:
\[
\begin{array}{c}
\quad \quad CH_3 \\
R - C - D_3
\end{array}
\]
- Specific rotation: [α] = -10° dm⁻¹ (g/mL)⁻¹
G:
- Structure:
\[
\begin{array}{c}
H_3C - CD_3 \\
R - C
\end{array}
\]
- Note: The specific rotation is not given in the problem statement.
**Possible Ratios:**
(A) 90:10
(B) 80:20
(C) 20:80
(D) 10:90
### Explanation:
To solve this problem, understand that a 1 g/mL solution containing a mix of chiral compounds F and G rotates plane-polarized light. The specific rotation of F is provided (-10° dm⁻¹ (g/mL)⁻¹), but the specific rotation for G should be inferred given the 8° observed counterclockwise rotation.
The calculation and logical deductions from polarimetry can then be followed to deduce the closest ratio from the given options.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3890751a-c083-48b5-a28b-4eb600d685a2%2F2d93eabf-506d-454b-9510-a46d81d52218%2Fzf5hklk_processed.jpeg&w=3840&q=75)
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