The rate equation for a reaction: A → B is r=K[A]0 . If the initial concentration of the reactant is a moldm-3 , the half-life period of the reaction is?
Given:
The rate equation for the reaction is r=k[A]0.
Initial concentration of the reactant = a moldm-3
The rate law of the reaction is expressed as:
Rate=k[A]x
Here, x is the order of the reaction and k is the rate constant for the reaction.
According to the given rate law, r=k[A]0, the order of the reaction is zero order.
For a zero order reaction, the rate constant is given by:
Here, [A]o is the initial concentration of the reactant and [A]
A is the final concentration of the reactant after time t.
Half-life period is the time period at which the final concentration of reactant becomes half of the initial concentration of the reactant. Hence,
Substitute the given values in equation (1).
Therefore, the half-life period of the reaction is
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