Arrange in increasing order of s character

Options

A. `sp^(3) lt sp^(2) lt sp`
B. `sp lt sp^(2) lt sp^(3)`
C. `sp^(2) lt sp lt sp^(3)`
D. `sp^(2) lt sp^(3) lt sp`

Explanation

To arrange the hybridizations sp3, sp2, and sp in increasing order of s character, we will calculate the s character percentage for each type of hybridization.

### Step-by-Step Solution:

1. **Understanding Hybridization**:
- **sp3 Hybridization**: Involves 1 s orbital and 3 p orbitals.
- **sp2 Hybridization**: Involves 1 s orbital and 2 p orbitals.
- **sp Hybridization**: Involves 1 s orbital and 1 p orbital.

2. **Calculating s Character**:
- The formula to calculate the s character percentage is:
\[ \text{s character} = \left( \frac{\text{Number of s orbitals}}{\text{Total number of orbitals}} \right) \times 100 \]

3. **Calculating for sp3**:
- Number of s orbitals = 1
- Total number of orbitals = 1 s + 3 p = 4
- s character = \( \left( \frac{1}{4} \right) \times 100 = 25\% \)

4. **Calculating for sp2**:
- Number of s orbitals = 1
- Total number of orbitals = 1 s + 2 p = 3
- s character = \( \left( \frac{1}{3} \right) \times 100 \approx 33.33\% \)

5. **Calculating for sp**:
- Number of s orbitals = 1
- Total number of orbitals = 1 s + 1 p = 2
- s character = \( \left( \frac{1}{2} \right) \times 100 = 50\% \)

6. **Arranging in Increasing Order**:
- From the calculations:
- sp3: 25% s character
- sp2: 33.33% s character
- sp: 50% s character
- Therefore, the increasing order of s character is:
\[ \text{sp3} < \text{sp2} < \text{sp} \]

### Final Answer:
The increasing order of s character is: **sp3 < sp2 < sp**