What is the hydrogen deficiency of CH,0? O 1 O 2 O 3 O 4

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**Question:**

What is the hydrogen deficiency of C₅H₆O?

**Options:**
- ○ 1
- ○ 2
- ○ 3
- ○ 4

**Explanation:**

Hydrogen deficiency, also known as the degree of unsaturation or index of hydrogen deficiency (IHD), indicates the number of rings and/or multiple bonds (double or triple) present in a molecule. It is calculated using the formula:

\[ \text{IHD} = \frac{2C + 2 + N - H - X}{2} \]

Where:
- \( C \) = number of carbon atoms
- \( N \) = number of nitrogen atoms
- \( H \) = number of hydrogen atoms
- \( X \) = number of halogen atoms

For C₅H₆O:
- \( C = 5 \)
- \( H = 6 \)
- \( O = 1 \) (Oxygen does not affect the hydrogen deficiency calculation)
- No nitrogen or halogens are present.

Substituting these into the formula:
\[ \text{IHD} = \frac{2(5) + 2 - 6}{2} = \frac{10 + 2 - 6}{2} = \frac{6}{2} = 3 \]

Therefore, the hydrogen deficiency of C₅H₆O is 3.
Transcribed Image Text:**Question:** What is the hydrogen deficiency of C₅H₆O? **Options:** - ○ 1 - ○ 2 - ○ 3 - ○ 4 **Explanation:** Hydrogen deficiency, also known as the degree of unsaturation or index of hydrogen deficiency (IHD), indicates the number of rings and/or multiple bonds (double or triple) present in a molecule. It is calculated using the formula: \[ \text{IHD} = \frac{2C + 2 + N - H - X}{2} \] Where: - \( C \) = number of carbon atoms - \( N \) = number of nitrogen atoms - \( H \) = number of hydrogen atoms - \( X \) = number of halogen atoms For C₅H₆O: - \( C = 5 \) - \( H = 6 \) - \( O = 1 \) (Oxygen does not affect the hydrogen deficiency calculation) - No nitrogen or halogens are present. Substituting these into the formula: \[ \text{IHD} = \frac{2(5) + 2 - 6}{2} = \frac{10 + 2 - 6}{2} = \frac{6}{2} = 3 \] Therefore, the hydrogen deficiency of C₅H₆O is 3.
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