16 The observed rotation of 10.0 g of $$ (R)-2 $$-methyl -1-butanol in 50 ml . of sotution in a 20 cm potarimeter tube is $$ +2.3^{\circ} $$ at $$ 20^{\circ} \mathrm{C} $$, what is the specific rotation of the compound? $$ [a]_{D}^{20^{\circ} \mathrm{C}}=\frac{a}{l imes c}=\frac{2 d \mathrm{~m} imes \frac{10.0 \mathrm{~g}}{50 \mathrm{ml}}}{2}=5.75 $$

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16 The observed rotation of 10.0 g of $$ (R)-2 $$-methyl -1-butanol in 50 ml . of sotution in a 20 cm potarimeter tube is $$ +2.3^{\circ} $$ at $$ 20^{\circ} \mathrm{C} $$, what is the specific rotation of the compound? $$ [a]_{D}^{20^{\circ} \mathrm{C}}=\frac{a}{l 	imes c}=\frac{2 d \mathrm{~m} 	imes \frac{10.0 \mathrm{~g}}{50 \mathrm{ml}}}{2}=5.75 $$

UpStudy AI · Accepted Answer

To determine the **specific rotation** $$[α]_D^{20^\circ \mathrm{C}}$$ of $$ (R)-2 $$-methyl-1-butanol, we'll use the formula:

$$
[a]_D^{20^\circ \mathrm{C}} = \frac{α}{l \times c}
$$

Where:
- $$ α $$ = Observed rotation = $$ +2.3^\circ $$
- $$ l $$ = Path length of the polarimeter tube = 20 cm = 2.0 dm
- $$ c $$ = Concentration of the solution in g/mL = $$ \frac{10.0\, \text{g}}{50\, \text{mL}} = 0.2\, \text{g/mL} $$

**Plugging in the values:**

$$
[a]_D^{20^\circ \mathrm{C}} = \frac{2.3}{2.0 \times 0.2} = \frac{2.3}{0.4} = 5.75\, \text{°/(g/mL·dm)}
$$

**Therefore, the specific rotation of $$ (R)-2 $$-methyl-1-butanol is:**

$$
[a]_D^{20^\circ \mathrm{C}} = +5.75\, \text{°/(g/mL·dm)}
$$

This value indicates the degree to which the compound can rotate plane-polarized light under the specified conditions.

**Summary:**
The specific rotation $$[α]_D^{20^\circ \mathrm{C}}$$ of $$ (R)-2 $$-methyl-1-butanol is **+5.75°/(g/mL·dm)**.

**Answer:**  
After calculation, the specific rotation [α]D 20°C of (R)-2-methyl-1-butanol is +5.75 ° (g⁻¹ mL dm).
The specific rotation of $$ (R)-2 $$-methyl-1-butanol is $$ +5.75\, \text{°/(g/mL·dm)} $$.

16 The observed rotation of 10.0 g of -methyl
-1-butanol in 50 ml . of sotution in a 20 cm
potarimeter tube is at , what is the
specific rotation of the compound?

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16 The observed rotation of 10.0 g of -methyl -1-butanol in 50 ml . of sotution in a 20 cm potarimeter tube is at , what is the specific rotation of the compound?