The maximum number of acidic hydrogen in a molecule of `C_(6)H_(10)` is

Answer

To determine the maximum number of acidic hydrogens in a molecule of \( C_6H_{10} \), we can follow these steps:

### Step 1: Calculate the Degree of Unsaturation
The degree of unsaturation (DU) can be calculated using the formula:

\[ DU = \frac{(2C + 2 + N - H - X)}{2} \]

Where:
- \( C \) = number of carbon atoms
- \( H \) = number of hydrogen atoms
- \( N \) = number of nitrogen atoms (not present here, so it will be 0)
- \( X \) = number of halogen atoms (not present here, so it will be 0)

For \( C_6H_{10} \):
- \( C = 6 \)
- \( H = 10 \)

Substituting the values into the formula:

\[ DU = \frac{(2 \times 6 + 2 - 10)}{2} = \frac{(12 + 2 - 10)}{2} = \frac{4}{2} = 2 \]

### Step 2: Interpret the Degree of Unsaturation
A degree of unsaturation of 2 indicates that the molecule can have:
- 1 triple bond, or
- 2 double bonds, or
- 1 double bond and 1 ring, or
- 2 rings.

### Step 3: Identify Structures and Count Acidic Hydrogens
We will consider the possible structures that could arise from a degree of unsaturation of 2:

1. **Alkyne Structure (C≡C)**:
- Example: \( CH_3C \equiv CCH_2CH_2CH_3 \)
- In this case, the terminal alkyne has 1 acidic hydrogen.

2. **Alkene Structure (C=C)**:
- Example: \( CH_2=CH-CH_2-CH_2-CH_3 \)
- Alkenes typically do not have acidic hydrogens.

3. **Cycloalkane Structure**:
- Example: Cyclohexene \( C_6H_{10} \)
- Cycloalkenes do not have acidic hydrogens.

### Step 4: Conclusion
From the analysis of the possible structures, the maximum number of acidic hydrogens in \( C_6H_{10} \) occurs in the alkyne structure, which has 1 acidic hydrogen.

Thus, the maximum number of acidic hydrogens in a molecule of \( C_6H_{10} \) is **1**.

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