CBSE Class 12-science Answered
Expert Answer
The half-life is a timescale in which each half-life represents the reduction of the initial population to 50% of its original state. We can represent the relationship by the following equation.
Using the integrated form of the rate law, we can develop a relationship between zero-order reactions and the half-life.
Substitute
Solve for time, 
Rate law for first order reaction:
is the reaction rate and 
is the reaction rate coefficient. In this example, the units of are 1/s. The units can vary with other types of reactions.
The half-life is a timescale by which the initial population is decreased by half of its orignal value, t1/2.. We can represent the relationship by the following equation.
Using the integrated form of the rate law, we can develop a relationship between first-order reactions and the half-life.
Substitute
Therefore, for first-order reactions, the half-life is independent of the initial concentration of reactant.
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