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For the gas phase decomposition of 1-bromopropane, CH3CH2CH2BrCH3CH=CH2 + HBr the rate constant at 622 K is 6.43Ɨ10-4 /s and the rate constant at 666 K is 8.28Ɨ10-3 /s. The activation energy for the gas phase decomposition of 1-bromopropane is

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Answer is:Ā activation energy of this reaction is 212,01975 kJ/mol.
Arrhenius equation: ln(kā‚/kā‚‚) = Ea/R (1/Tā‚‚ - 1/Tā‚).
kā‚ =Ā 0,000643 1/s.
kā‚‚ =Ā 0,00828 1/s.

Tā‚ = 622 K.

Tā‚‚ = 666 K.

R = 8,3145 J/Kmol.

1/Tā‚ = 1/622 K = 0,0016 1/K.
1/Tā‚‚ = 1/666 KĀ = 0,0015 1/K.
ln(0,000643/0,00828) = Ea/8,3145 J/KmolĀ Ā· (-0,0001 1/K).
-2,55 = Ea/8,3145 J/KmolĀ Ā· (-0,0001 1/K).
Ea = 212019,75 J/mol = 212,01975 kJ/mol.

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