1.1. The rate constant can be calculated using the Arrhenius equation, shown below.

$k=A{e}^{\frac{-{E}_{a}}{RT}}$

State what each of the following terms represents. Include units if appropriate.

• A

• E_a

• T

1.2. Rearrange the Arrhenius equation as shown in part (a) to calculate A.

1.3. The Arrhenius equation can also be expressed in a logarithmic form as shown by the equation below.

ln k = ln A - $\frac{{E}_{a}}{RT}$

When ln k is plotted against $\frac{1}{T}$, a downward straight line graph is produced which obeys the equation y = mx + c.

Complete the table below to show how the terms from the logarithmic Arrhenius equation relate to the equation of a straight line.

1.4. A graph of ln k against $\frac{1}{T}$ is shown below.

i) Calculate the gradient of the straight line.

[2]

ii) Calculate the activation energy, E_a. 

The gas constant R = 8.314 J K^-1 mol^-1

[1]