Calculate the degree of unsaturation (DU) for the molecule shown below. НО НО ОН Н I-Z N

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**Title: Calculating the Degree of Unsaturation**

**Introduction:**

In organic chemistry, the degree of unsaturation (DU) provides valuable information about the structure of a molecule, indicating the number of rings and/or multiple bonds (double or triple bonds) present. Understanding how to calculate the degree of unsaturation helps in deducing molecular structures from their chemical formulas.

**Task:**

Calculate the degree of unsaturation (DU) for the molecule shown below.

**Molecular Structure:**

- The given molecule has a benzene ring indicated by a hexagonal structure with alternating double bonds.
- There are three hydroxyl (OH) groups attached to the benzene ring.
- The molecule includes an alkyl chain containing an alcohol group, an amine group (NH), and a tertiary carbon bearing two methyl groups.

**Steps to Calculate DU:**

1. **Identify the Formula:**
   - Determine the molecular formula by counting all carbon, hydrogen, oxygen, and nitrogen atoms.
   
2. **Degree of Unsaturation Formula:**
   - Use the formula: \( \text{DU} = \frac{2C + 2 + N - H - X}{2} \)
   - C = number of carbons
   - H = number of hydrogens
   - N = number of nitrogens
   - X = number of halogens (none in this molecule)

3. **Count Elements:**
   - Carbons: 10 (counting from benzene and side chains)
   - Hydrogens: 15 (total considering attachment of other groups)
   - Nitrogens: 1
   
4. **Calculate DU:**
   - Substitute the values into the formula to find DU.

Understanding and calculating the DU provides insights into molecule structures, crucial for fields like molecular biology and pharmaceuticals.
Transcribed Image Text:**Title: Calculating the Degree of Unsaturation** **Introduction:** In organic chemistry, the degree of unsaturation (DU) provides valuable information about the structure of a molecule, indicating the number of rings and/or multiple bonds (double or triple bonds) present. Understanding how to calculate the degree of unsaturation helps in deducing molecular structures from their chemical formulas. **Task:** Calculate the degree of unsaturation (DU) for the molecule shown below. **Molecular Structure:** - The given molecule has a benzene ring indicated by a hexagonal structure with alternating double bonds. - There are three hydroxyl (OH) groups attached to the benzene ring. - The molecule includes an alkyl chain containing an alcohol group, an amine group (NH), and a tertiary carbon bearing two methyl groups. **Steps to Calculate DU:** 1. **Identify the Formula:** - Determine the molecular formula by counting all carbon, hydrogen, oxygen, and nitrogen atoms. 2. **Degree of Unsaturation Formula:** - Use the formula: \( \text{DU} = \frac{2C + 2 + N - H - X}{2} \) - C = number of carbons - H = number of hydrogens - N = number of nitrogens - X = number of halogens (none in this molecule) 3. **Count Elements:** - Carbons: 10 (counting from benzene and side chains) - Hydrogens: 15 (total considering attachment of other groups) - Nitrogens: 1 4. **Calculate DU:** - Substitute the values into the formula to find DU. Understanding and calculating the DU provides insights into molecule structures, crucial for fields like molecular biology and pharmaceuticals.
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