`underset((A))(C_(12)H_(16))overset(O_(3) Zn, H_(2)O_(2) )rarr 2H_(3)C-overset(O)overset(||)C-CH_(3)+2HOOC-overset(O)overset(||)C-COOH`
What is degree of unsaturation of compound A?

Answer

To find the degree of unsaturation of compound A (C₁₂H₁₆), we can follow these steps:

### Step 1: Understand the Degree of Unsaturation
The degree of unsaturation (DU) indicates the number of rings and/or multiple bonds (double or triple) in a compound. Each double bond or ring contributes 1 to the degree of unsaturation, while each triple bond contributes 2.

### Step 2: Use the Formula for Degree of Unsaturation
The formula to calculate the degree of unsaturation is:
\[ \text{DU} = \frac{(2C + 2 + N - H - X)}{2} \]
Where:
- \(C\) = number of carbon atoms
- \(H\) = number of hydrogen atoms
- \(N\) = number of nitrogen atoms (if any)
- \(X\) = number of halogen atoms (F, Cl, Br, I)

### Step 3: Identify the Components
For compound A, we have:
- Carbon (C) = 12
- Hydrogen (H) = 16
- Nitrogen (N) = 0 (since there are no nitrogen atoms)
- Halogens (X) = 0 (since there are no halogens)

### Step 4: Substitute Values into the Formula
Now substitute the values into the degree of unsaturation formula:
\[ \text{DU} = \frac{(2(12) + 2 + 0 - 16 - 0)}{2} \]
\[ = \frac{(24 + 2 - 16)}{2} \]
\[ = \frac{10}{2} \]
\[ = 5 \]

### Step 5: Conclusion
The degree of unsaturation of compound A (C₁₂H₁₆) is **5**.

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