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Solutions for The Study of Chemical Reactions C CH3 H CH2CH3CH3 HH H H H H H H H H H H H HH H H H H H H H H H CH3 C CH3 H CH3 OR H H HH H H H H H H H H CH3CH2CH2CH319 2° 2° 1° 1°1°1°1° 1°1° 3°3° 3° 3°all are 2° H 2° 1° (e) (d) (c)(b)(a) all are 2° H except at bridgehead (labeled 3°) all are 2° H 20 ∆H° for abstraction of a 1° H from both ethane and propane are + 410 kJ/mole ( + 98 kcal/mole). It is reasonable to use this same value for abstraction of the 1° H in isobutane. 3° H abstraction Cl • + + ∆H° = + 381 kJ/mole ( + 91 kcal/mole) ∆H° = – 431 kJ/mole ( – 103 kcal/mole) ∆H° = − 50 kJ/mole ( −12 kcal/mole) break 3° H–C(CH3)3 make H–Cl overall 3° H abstraction Cl • + + ∆H° = + 410 kJ/mole ( + 98 kcal/mole) ∆H° = – 431 kJ/mole ( – 103 kcal/mole) ∆H° = − 21 kJ/mole ( − 5 kcal/mole) break 1° H–CH2CH(CH3)2 make H–Cl overall 1° H abstraction 1° H abstraction C CH3 H CH3CH2 H Cl • CH2 C CH3 CH3 H H C CH3 H CH3CH3 H Cl CH3 C CH3 CH3 CH2H C CH3 H CH3 3° radical; ∆H° = – 50 kJ/mole (− 12 kcal/mole) 1° radical; ∆H° = – 21 kJ/mole (− 5 kcal/mole)en er gy reaction coordinate Cl • + Since ∆H° for forming the 3° radical is more negative than ∆H° for forming the 1° radical, it is reasonable to infer that the activation energy leading to the 3° radical is lower than the activation energy leading to the 1° radical. 78