JEE Challenger
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Total sp2 Hybridized Carbon Atoms in Reaction Product of Dicyano Compound

The total number of sp2sp^2 hybridised carbon atoms in the major product P (a non-heterocyclic compound) of the following reaction is _____.

Question Diagram 1
Official Numerical Answer28

Step-by-Step Solution

To find the total number of sp2sp^2 hybridized carbon atoms in the major product P, we analyze the reaction step-by-step:

Step 1: Reduction with LiAlH4\text{LiAlH}_4 (excess) followed by H2O\text{H}_2\text{O}

The starting compound is ethane-1,1,2,2-tetracarbonitrile: (NC)2CHCH(CN)2\text{(NC)}_2\text{CH}-\text{CH}(\text{CN})_2

Upon reduction with excess lithium aluminium hydride (LiAlH4\text{LiAlH}_4), all four nitrile (CN-\text{C}\equiv\text{N}) groups are converted into primary amine (CH2NH2-\text{CH}_2\text{NH}_2) groups: (NC)2CHCH(CN)2(i) LiAlH4 (excess), H2O(H2NCH2)2CHCH(CH2NH2)2\text{(NC)}_2\text{CH}-\text{CH}(\text{CN})_2 \xrightarrow{\text{(i) }\text{LiAlH}_4 \text{ (excess), }\text{H}_2\text{O}} (\text{H}_2\text{N}-\text{CH}_2)_2\text{CH}-\text{CH}(\text{CH}_2-\text{NH}_2)_2


Step 2: Reaction with excess Acetophenone

Acetophenone is PhCOCH3\text{Ph}-\text{CO}-\text{CH}_3 (C6H5COCH3\text{C}_6\text{H}_5-\text{CO}-\text{CH}_3). Primary amines undergo nucleophilic addition-elimination with ketones to form imines (Schiff bases): CH2NH2+O=C(CH3)C6H5H2OCH2N=C(CH3)C6H5-\text{CH}_2-\text{NH}_2 + \text{O}=\text{C}(\text{CH}_3)\text{C}_6\text{H}_5 \xrightarrow{-\text{H}_2\text{O}} -\text{CH}_2-\text{N}=\text{C}(\text{CH}_3)\text{C}_6\text{H}_5

Since excess acetophenone is used and the problem specifies that P is a non-heterocyclic compound, all four amine groups react to give the tetraimine product P: P: [C6H5C(CH3)=NCH2]2CHCH[CH2N=C(CH3)C6H5]2\textbf{P: } \left[\text{C}_6\text{H}_5-\text{C}(\text{CH}_3)=\text{N}-\text{CH}_2\right]_2\text{CH}-\text{CH}\left[\text{CH}_2-\text{N}=\text{C}(\text{CH}_3)-\text{C}_6\text{H}_5\right]_2


Step 3: Determination of sp2sp^2 Hybridized Carbon Atoms

In each N=C(CH3)C6H5-\text{N}=\text{C}(\text{CH}_3)\text{C}_6\text{H}_5 group:

  1. Imine Carbon (N=C-\text{N}=\mathbf{C}-): 1 carbon1 \text{ carbon} (sp2sp^2 hybridized)
  2. Phenyl Ring (C6H5\mathbf{-C_6H_5}): 6 carbons6 \text{ carbons} (sp2sp^2 hybridized)
  3. Methyl Carbon (CH3-\text{CH}_3): 1 carbon1 \text{ carbon} (sp3sp^3 hybridized)

Thus, each acetophenone residue contributes: 1+6=7 sp2 hybridized carbon atoms1 + 6 = 7 \text{ } sp^2 \text{ hybridized carbon atoms}

Since there are 44 such groups in product P: Total sp2 hybridized carbons from acetophenone groups=4×7=28\text{Total } sp^2 \text{ hybridized carbons from acetophenone groups} = 4 \times 7 = 28

The remaining backbone carbons (2×CH2 \times -\text{CH}- and 4×CH24 \times -\text{CH}_2-) and methyl carbons (4×CH34 \times -\text{CH}_3) are all sp3sp^3 hybridized.

Total number of sp2 hybridized carbon atoms=28\text{Total number of } sp^2 \text{ hybridized carbon atoms} = 28