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?

First order reaction

Explanation:

We have to remember the kinetic equations:

Zero order:

First order:

Second order:

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.

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