The decomposition of hydrocarbon follows the equation

k = (4.5 × 1011s–1) e-28000K/T. Calculate Ea.


The given equation is


k = (4.5 x 1011 s-1) e-28000 K/T (i)


Comparing, Arrhenius equation


k = Ae -Ea/RT (ii)


We get, Ea / RT = 28000K / T


Ea = R x 28000K


= 8.314 J K-1mol-1 × 28000 K


= 232792 J mol–1 or 232.792 kJ mol–1


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