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Arrhenius equation (Arrhenius parameters)

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Problem

A reactant P undergoes 2 reactions as shown-
P(g)C(g)
P(g)Z(g)
The value of the reaction temperature in the first case (T1) is 3times the reaction temperature value in the second case (T2).
If both the reactions have the same value for rate constant, identify the relationship between the activation energy values for the reactant in first (Ea1) and the second case (Ea2).
Assume the frequency factor has the same value in both cases.
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