Acetylene contains same degrees of unsaturation as:

Options

A.
B.
C.
D.

Answer

To determine which compound has the same degree of unsaturation as acetylene (ethyne), we can follow these steps:

### Step 1: Determine the Molecular Formula of Acetylene
Acetylene, also known as ethyne, has the molecular formula:
\[ \text{C}_2\text{H}_2 \]

### Step 2: Calculate the Degree of Unsaturation for Acetylene
The degree of unsaturation (DU) can be calculated using the formula:
\[ \text{DU} = C - \frac{H}{2} + \frac{N}{2} - \frac{X}{2} + 1 \]
Where:
- \( C \) = number of carbon atoms
- \( H \) = number of hydrogen atoms
- \( N \) = number of nitrogen atoms
- \( X \) = number of halogen atoms

For acetylene:
- \( C = 2 \)
- \( H = 2 \)
- \( N = 0 \) (no nitrogen)
- \( X = 0 \) (no halogens)

Substituting the values into the formula:
\[ \text{DU} = 2 - \frac{2}{2} + \frac{0}{2} - \frac{0}{2} + 1 \]
\[ \text{DU} = 2 - 1 + 0 + 0 + 1 \]
\[ \text{DU} = 2 \]

### Step 3: Analyze the Options
We need to check the degree of unsaturation for each of the given options and find which one matches with acetylene's degree of unsaturation (DU = 2).

#### Option A: Cyclohexane (C6H12)
Calculate DU:
\[ C = 6, H = 12 \]
\[ \text{DU} = 6 - \frac{12}{2} + 0 + 0 + 1 \]
\[ \text{DU} = 6 - 6 + 1 = 1 \]
**Not a match.**

#### Option B: Cyclohexene (C6H10)
Calculate DU:
\[ C = 6, H = 10 \]
\[ \text{DU} = 6 - \frac{10}{2} + 0 + 0 + 1 \]
\[ \text{DU} = 6 - 5 + 1 = 2 \]
**This is a match.**

#### Option C: C6H8
Calculate DU:
\[ C = 6, H = 8 \]
\[ \text{DU} = 6 - \frac{8}{2} + 0 + 0 + 1 \]
\[ \text{DU} = 6 - 4 + 1 = 3 \]
**Not a match.**

#### Option D: Benzene (C6H6)
Calculate DU:
\[ C = 6, H = 6 \]
\[ \text{DU} = 6 - \frac{6}{2} + 0 + 0 + 1 \]
\[ \text{DU} = 6 - 3 + 1 = 4 \]
**Not a match.**

### Conclusion
The compound that has the same degree of unsaturation as acetylene is **Option B: Cyclohexene (C6H10)**.

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