Problem- The integrated rate law allows chemists to predict the reactant concentration after a certain amount of time, or the time it would take for a certain concentration to be reached. The integrated rate law for a first-order reaction is: [A]=[A]0ekt Now say we are particularly interested in the time it would take for the concentration to become one-half of its initial value. Then we could substitute [A]02 for [A] and rearrange the equation to: t1/2=0.693k This equation calculates the time required for the reactant concentration to drop to half its initial value.

In other words, it calculates the half-life.

Part 1

What is the rate constant of a first-order reaction that takes 536seconds for the reactant concentration to drop to half of its initial value?

Express your answer with the appropriate units.

Part 2

A certain first-order reaction has a rate constant of 8.90×10?3 s?1. How long will it take for the reactant concentration to drop to 18 of its initial value?

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