A reaction is defined by the following scheme:
X à Y
When the concentration of X in a solution is 1.02 M, the half-life (t1/2) is 160 seconds.
When the concentration of X in solution is 2.05 M, the half-life (t1/2) is 80 seconds.
The above information applies when the reaction takes place at 25 degrees Celsius.
(a) What is the order of the reaction?
(b) Calculate the rate constant for the reaction.
Please note that the attached file contains a complete solution to the question.
PART ONE: What is the order of the reaction?
To answer this question, we will consider the equations used to calculate half-life (t1/2) for zero order, first order, and second order reactions. In each case, [X]o=concentration of X at time zero; k = rate constant.
For a zero order reaction, t1/2 = [X]o/(2k)
For a first order reaction, t1/2 = 0.693/k
For a second order reaction, t1/2 = (k*[X]o)-1
Considering the equations shown above, it is clear that for a first order reaction, the half-life is independent of the ...