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[Solved] The decomposition of hydrocarbon follows the equation k = (4.5 x 10^11 s^-1) e^-28000 K/T Calculate Ea.

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The decomposition of hydrocarbon follows the equation

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

Calculate Ea.

1 Answer
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The given equation is

k = (4.5 × 1011 s-1) e-28000 K/T (i)

Arrhenius equation is given by,

k = Ae-Ea/RT(ii)

From equation (i) and (ii), we obtain

\(\frac{E_a}{RT}\) = \(\frac{28000K}{T}\)

⇒ Ea = R x 28000 K

= 8.314 J K-1 mol-1 × 28000 K

= 232792 J mol-1

= 232.792 kJ mol-1

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