For three reactions of first, second and third-order, the numerical value of the rate constant is the same. Which of the following is correct? Given, A = the concentration of the reactant & r 1 , r 2 and r 3 are the rates of first, second and third-order reaction respectively.

Step-by-step solution

The rate law expression for the given reactions will be as follows: r 1 = k A I st  order r 2 = k A 2 II nd  order r 3 = k A 3 III rd  order k = same Thus, the following conclusions can be drawn based on the mathematical analysis of the rate law expressions: 1)   r 1 = r 2 = r 3 ; if A = 1 2) r 1 < r 2 < r 3 ; if A > 1 For example, if [ A ] = 2   M ,   r 1 = 2 k ,   r 2 = 4 k ,   r 3 = 8 k 3) r 1 > r 2 > r 3 ; if A < 1 For example, if [ A ] = 1 2 &#160