Bicyclohexane was found to undergo two parallel first-order rearrangements at 700 K:
Bicyclohexane $k_{1} = 1.25 \times 1 0^{- 4} s^{- 1} E_{a 1} = 40 k J / m o l$ Cyclohexene
Bicyclohexane $k_{2} = 3.75 \times 1 0^{- 4} s^{- 1} E_{a 2} = 60 k J / m o l$ Methylcyclopentene

Question

Bicyclohexane was found to undergo two parallel first-order rearrangements at 700 K:

Bicyclohexane $k_{1} = 1.25 \times 1 0^{- 4} s^{- 1} E_{a 1} = 40 k J / m o l$ Cyclohexene

Bicyclohexane $k_{2} = 3.75 \times 1 0^{- 4} s^{- 1} E_{a 2} = 60 k J / m o l$ Methylcyclopentene

TestHub · Accepted Answer

Percentage of cyclohexene = k 1 ​ + k 2 ​ k 1 ​ ​ × 100 = 25 Mole ratio of products does not depend on time. E a ​ t 1/2 ​ ​ = k 1 ​ + k 2 ​ k 1 ​ E a 1 ​ + k 2 ​ E a 2 ​ ​ = 55 k J / m o l e = k 1 ​ + k 2 ​ ln 2 ​ = 1386 sec = 23.1 min ​

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