The angle strain in cyclopentane is

Options

A. `72^(@)`
B. `1^(@)28'`
C. 44'
D. `108^(@)`

Answer

To determine the angle strain in cyclopentane, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Hybridization of Carbon in Cyclopentane**:
- Cyclopentane consists of five carbon atoms. Each carbon atom in cyclopentane is sp³ hybridized.

2. **Determine the Expected Bond Angle**:
- For sp³ hybridized carbon atoms, the ideal bond angle is approximately 109.5 degrees (or 109 degrees and 28 minutes).

3. **Measure the Actual Bond Angle in Cyclopentane**:
- The actual bond angle in cyclopentane is approximately 108 degrees.

4. **Calculate the Angle Strain**:
- Angle strain can be calculated using the formula:
\[ \text{Angle Strain} = \text{Expected Bond Angle} - \text{Actual Bond Angle} \]
- Substituting the values:
\[ \text{Angle Strain} = 109.5^\circ - 108^\circ = 1.5^\circ \]

5. **Convert Degrees to Minutes**:
- Since 1 degree equals 60 minutes, we convert 1.5 degrees into minutes:
\[ 1.5^\circ = 1.5 \times 60 = 90 \text{ minutes} \]

6. **Distribute the Angle Strain**:
- The angle strain is distributed equally across the bonds in the cyclopentane ring. Since there are two bonds affected, we divide the total angle strain by 2:
\[ \text{Angle Strain per Bond} = \frac{90 \text{ minutes}}{2} = 45 \text{ minutes} \]

7. **Conclusion**:
- Therefore, the angle strain in cyclopentane is 45 minutes.

### Final Answer:
The angle strain in cyclopentane is 45 minutes.

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