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If a homogeneous catalytic reaction follows three alternative paths A, B and C, then which of the following indicates the relative rates with which the reaction moves?

Option: 1

A > B > C


Option: 2

C > B > A


Option: 3

A > C > B


Option: 4

A = B = C


Answers (1)

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Rate of a reaction is given by, \mathrm{r=k[\text { reactant }]^{\text {order }} }   .....(i)
The value of rate constant, k, is given by Arrhenius equation:
\mathrm{k=A e^{-\frac{E_0}{R T}} }   .....(ii)
So, from equations (i) and (ii), it is clear that rate is directely related to the value of k which is inversely related to activation energy, \mathrm{E_a}.
So, lower the activation energy, higher is the rate.
The activation energy in path A is maximum and hence it follows with lowest rate while in the path C, its rate is maximum due to its lowest activation energy.

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Ajit Kumar Dubey

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