Isomerism and StereochemistryhardNUMERICAL

Calculate the Degree of Unsaturation (DU) or Index of Hydrogen Deficiency (IHD) for a complex organiIsomerism and Stereochemistry Chemistry Question

Question

Calculate the Degree of Unsaturation (DU) or Index of Hydrogen Deficiency (IHD) for a complex organic compound with the molecular formula $C_{12}H_{22}O_8N_3Br$.

Answer: 3

💡 Solution & Explanation

The formula for Degree of Unsaturation is $DU = (C + 1) - \frac{H + X - N}{2}$, where $C$ is carbon, $H$ is hydrogen, $X$ is halogen, and $N$ is nitrogen. Elements of the oxygen family ($O, S$) are ignored. For $C_{12}H_{22}O_8N_3Br$: $C = 12$, $H = 22$, $X = 1$ ($Br$), $N = 3$. Substituting the values: $DU = (12 + 1) - \frac{22 + 1 - 3}{2} = 13 - \frac{20}{2} = 13 - 10 = 3$.

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