Question 12

NUMERICALMEDIUM

Treatment of buta-1,3-diyne with NaNH2NaNH_2 (2 equivalents), followed by reaction with excess of trans−CH3−CH=CH−CH2−Brtrans-CH_3-CH=CH-CH_2-Br gives X as the major product. The maximum number of carbon atoms that are collinear (in a straight line) in X is ____.

Correct Answer: 6

Detailed Solution

Buta-1,3-diyne is H−C≡C−C≡C−HH-C \equiv C-C \equiv C-H. Treatment with 2 equivalents of NaNH2NaNH_2 forms the dianion Na+−C≡C−C≡C−Na+Na^{+ -}C \equiv C-C \equiv C^- Na^+. Reaction with excess trans−CH3−CH=CH−CH2−Brtrans-CH_3-CH=CH-CH_2-Br (an alkyl halide) results in alkylation at both ends: X=CH3−CH=CH−CH2−C≡C−C≡C−CH2−CH=CH−CH3X = CH_3-CH=CH-CH_2-C \equiv C-C \equiv C-CH_2-CH=CH-CH_3. In the diyne system, the carbons involved in the triple bonds (spsp hybridized) and the carbons directly attached to them (sp3sp^3 methylenes) are collinear because the bond angle at spsp carbon is 180∘180^\circ. The sequence of collinear carbon atoms is: Cmethylene−C≡C−C≡C−CmethyleneC_{methylene} - C \equiv C - C \equiv C - C_{methylene}. Counting these atoms: 1 (sp3sp^3) + 4 (spsp) + 1 (sp3sp^3) = 6 carbon atoms. The next carbons in the chain (part of the double bonds) are not collinear as the C(sp)−C(sp3)−C(sp2)C(sp)-C(sp^3)-C(sp^2) bond angle is approximately 109.5∘109.5^\circ.

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