Questions: Question 3 (1 point) Saved What is the index of hydrogen deficiency of a dicyclohexane molecule? 0 4 2 1 3

Solution Steps

The Index of Hydrogen Deficiency (IHD) is a measure of the degree of unsaturation in a molecule. It indicates the number of rings and/or multiple bonds (double bonds or triple bonds) present in the molecule. The formula to calculate IHD is:

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

where:

• \( C \) is the number of carbon atoms,
• \( N \) is the number of nitrogen atoms,
• \( H \) is the number of hydrogen atoms,
• \( X \) is the number of halogen atoms (F, Cl, Br, I).

Dicyclohexane consists of two cyclohexane rings. Each cyclohexane ring is a saturated hydrocarbon with the formula \( C_6H_{12} \). Therefore, dicyclohexane has the formula \( C_{12}H_{22} \).

Using the IHD formula:

\[ \text{IHD} = \frac{2(12) + 2 - 22}{2} = \frac{24 + 2 - 22}{2} = \frac{4}{2} = 2 \]

Final Answer