A series of experiments investigating the reaction of (CH3)3CCl with H2O to create (CH3)3OH produces a plot of Ln[(CH3)3CCl] vs. time that is linear with a negative slope. Suppose the reaction is carried out under conditions such that the half-life of the reaction is 2.20 x 102 s. What is the instantaneous rate of reaction when [(CH3)3CCl] = 0.15 M?

Explanation:

There will occur a straight line for the curve of Ln[(CH_{3})_{3}CCl] Vs. time. Since, it is a first order reaction therefore, the formula of its half-life will be as follows.

         Half-life =

or,         k =

               =

So, rate of the reaction will be as follows.

          Rate =

                   =

                   = 0.000473

                   =

Thus, we can conclude that the instantaneous rate of given reaction is  .