Chapter 15, Problem 30E

A certain reaction has the following general form:

$a\text{A}\to b\text{B}$

At a particular temperature and ${\left[\text{A}\right]}_0=2.80\times {10}^{-3}M,$ concentration versus time data were collected for this reaction, and a plot of $1/\left[\text{A}\right]$ versus time resulted in a straight line with a slope value of $+3.60\times {10}^{-2}{\text{L mol}}^{-1}{\text{s}}^{-1}.$

a. Determine the rate law, the integrated rate law, and the value of the rate constant for this reaction.

b. Calculate the half-life for this reaction.

c. How much time is required for the concentration of A to decrease to $7.00\times {10}^{-4}M?$