Degree of unsaturated in `C_xH_8` is two. The value of x is …............

Answer

To find the value of \( x \) in the compound \( C_xH_8 \) given that the degree of unsaturation is 2, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Degree of Unsaturation Formula**:
The degree of unsaturation (DU) can be calculated using the formula:
\[ DU = \frac{C - H + N + X}{2} + 1 \]
where:
- \( C \) = number of carbon atoms
- \( H \) = number of hydrogen atoms
- \( N \) = number of nitrogen atoms (which is 0 in this case)
- \( X \) = number of halogens (which is also 0 in this case)

2. **Identify the Values**:
In our case:
- \( H = 8 \)
- \( N = 0 \)
- \( X = 0 \)
- \( C = x \) (the value we need to find)

3. **Set Up the Equation**:
Since the degree of unsaturation is given as 2, we can substitute the known values into the formula:
\[ 2 = \frac{x - 8 + 0 + 0}{2} + 1 \]

4. **Simplify the Equation**:
Rearranging the equation gives:
\[ 2 = \frac{x - 8}{2} + 1 \]
Subtract 1 from both sides:
\[ 1 = \frac{x - 8}{2} \]

5. **Multiply Both Sides by 2**:
To eliminate the fraction, multiply both sides by 2:
\[ 2 = x - 8 \]

6. **Solve for \( x \)**:
Add 8 to both sides:
\[ x = 10 \]

### Final Answer:
The value of \( x \) is \( 10 \). Thus, the compound is \( C_{10}H_8 \).