Question

A student makes three plots of their data and finds that a plot of [A] vs t is non-linear, a plot of ln[A] vs t is linear, and a plot of 1/[A] vs t is non-linear. What is the rate law of the reaction?

Answer 1

Answer:

First order reaction

Explanation:

We have to remember the kinetic equations:

Zero order: $[A]=-kt~+~[A]o$

First order: $Ln[A]=-kt~+~Ln[A]o$

Second order: $1/[A]=-kt~+~1/[A]o$

The data given by the problem is:

-)  [A] vs t is non-linear

-) Ln[A] vs t is linear

-) 1/[A] vs t is non-linear

If we have a linear behaivor (a staigth line) between Ln[A] and t we will have a first order reaction.