# How do you plot the Arrhenius equation?

##### 1 Answer

You draw a graph of

#### Explanation:

The Arrhenius equation is

where

#k# is the rate constant#A# is the pre-exponential factor#E_a# is the activation energy#R# is the universal gas constant#T# is the temperature

If we take the logarithms of both sides, we get

or

This is the equation of a straight line

where

By comparing the equations, we see that the slope of the line is

Hence, if we draw a graph of

**Example**

For a certain reaction, the data were:

Plot the Arrhenius equation using the above values.

**Solution**

We have to plot

We must convert the temperatures to kelvins and take their reciprocals.

We must also take the natural logarithms of the rate constants.

Although we could do this by hand, I find it easier to do the calculations and the plot in Excel.

Here's are my results.