How many half-lives are required for the concentration of reactant to decrease to 1.56% of its original value? 4247.56.56

6 half-lives are required for the concentration of reactant to decrease to 1.56% of its original value.

Explanation:

Using integrated rate law for first order kinetics as:

Where,

is the concentration at time t

is the initial concentration

Given:

Concentration is decreased to 1.56 % which means that 0.0156 of is decomposed. So,

= 0.0156

Thus,

kt = 4.1604

The expression for the half life is:-

Half life = 15.0 hours

Where, k is rate constant

So,  

6 half-lives are required for the concentration of reactant to decrease to 1.56% of its original value.

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