Interpretation:
It has to be shown that the given mechanism also gives the observed rate law. The observed rate law is
Concept Introduction:
Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.
Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.
Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.
Explanation of Solution
The observed
Mechanism:
As known, the overall reaction rate is same as the rate of the slowest reaction step.
The slowest step of the given mechanism is,
The rate law for the above slowest reaction is,
The concentration of the intermediate
For equilibrium reaction
The rate of forward reaction,
The rate of reverse reaction,
Equating both
For equilibrium reaction
The rate of forward reaction,
The rate of reverse reaction,
Equating both
Now, substituting equations
Now, substituting equations
Thus, the rate law of the overall reaction becomes,
Therefore, the rate law of the given reaction mechanism is obtained as
The mechanism having higher
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