JEE Main 2023 · 29 Jan · Shift 1 · numerical answer

JEE Main 2023 Chemistry question on Hydrocarbons

17 mg of a hydrocarbon (M.F. C10H16\text{C}_{10}\text{H}_{16}) takes up 8.40 mL of the H2\text{H}_2 gas measured at 0°C and 760 mm of Hg. Ozonolysis of the same hydrocarbon yields

CH3−C∥O−CH3,H−C∥O−H,H−C∥O−CH2−CH2−C∥O−C∥O−H\text{CH}_3-\overset{\displaystyle O}{\overset{\displaystyle \|}{C}}-\text{CH}_3,\quad \text{H}-\overset{\displaystyle O}{\overset{\displaystyle \|}{C}}-\text{H},\quad \text{H}-\overset{\displaystyle O}{\overset{\displaystyle \|}{C}}-\text{CH}_2-\text{CH}_2-\overset{\displaystyle O}{\overset{\displaystyle \|}{C}}-\overset{\displaystyle O}{\overset{\displaystyle \|}{C}}-\text{H}

The number of double bond/s present in the hydrocarbon is _________.
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Answer: 03

Solution

Moles of hydrocarbon = 17/136 = 0.125 mmol. Volume of H₂ at STP = 8.40 mL, so moles of H₂ = 8.40/22400 = 0.375 mmol. Moles of H₂ per mole of hydrocarbon = 0.375/0.125 = 3. So the compound absorbs 3 moles of H₂, indicating 3 degrees of unsaturation from double bonds (since C₁₀H₁₆ has degree of unsaturation = (2×10+2−16)/2 = 3, all from double bonds, no rings or triple bonds). This is confirmed by ozonolysis giving three carbonyl fragments (acetone, formaldehyde, and succinaldehyde), which accounts for exactly 3 C=C bonds being cleaved. Therefore, the number of double bonds is 3.

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