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Question: Consider the following alkenes with regard to their stability...

Consider the following alkenes with regard to their stability

A

i > iii > ii > iv

B

iii > ii > iv > i

C

i > ii > iv > iii

D

ii > iv > iii > i

Answer

i > ii > iv > iii

Explanation

Solution

The stability of alkenes is primarily determined by the degree of substitution of the double bond carbons and the number of alpha-hydrogens, which indicate hyperconjugation. Heat of hydrogenation is a quantitative measure of alkene stability; a less exothermic hydrogenation (less negative enthalpy change) indicates a more stable alkene.

  • Alkene i: 2-methylpropene (CH2_2=C(CH3_3)2_2). This is a disubstituted alkene with 6 alpha-hydrogens.
  • Alkene ii: But-2-ene (CH3_3-CH=CH-CH3_3). This is a disubstituted alkene with 6 alpha-hydrogens.
  • Alkene iii: But-1-ene (CH3_3-CH2_2-CH=CH2_2). This is a monosubstituted alkene with 3 alpha-hydrogens.
  • Alkene iv: Cyclohexene. This is a cyclic disubstituted alkene with 4 alpha-hydrogens.

Based on heats of hydrogenation (experimental values):

  • Alkene i: ΔHhydrog112.5\Delta H_{hydrog} \approx -112.5 kJ/mol
  • Alkene ii: ΔHhydrog115.2\Delta H_{hydrog} \approx -115.2 kJ/mol
  • Alkene iv: ΔHhydrog119.5\Delta H_{hydrog} \approx -119.5 kJ/mol
  • Alkene iii: ΔHhydrog126\Delta H_{hydrog} \approx -126 kJ/mol

A less exothermic heat of hydrogenation indicates a more stable alkene. Therefore, the stability order from most stable to least stable is: i (-112.5 kJ/mol) > ii (-115.2 kJ/mol) > iv (-119.5 kJ/mol) > iii (-126 kJ/mol).

This order is i > ii > iv > iii.