The integrated rate law allows chemists to predict the reactant concentration af

Question

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]0e?kt

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 A) What is the half-life of a first-order reaction with a rate constant of 4.10

Explanation / Answer

Part A.

Given,

K=4.10*10-4 s

Half life=0.693/K=0.693/4.1*10-4=1690.5 sec

Part B.

Now,

K=0.693/T1/2=0.693/340

                =2.04*10-3 s-1

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