The order with respect to C is easiest to determine: The rate goes down by a factor of 10 every time the concentration of C goes down by a factor of 10 (experiments 1, 4 and 5). The rate is therefore proportional to the first power of c.
For A, consider the following table:
Thus, the rate goes up by a factor of about 2.83 when the concentration is doubled. We are looking for a simple rate law of the form
Ratios of rates at constant c are therefore related by
By taking logarithms of both sides of this equation, we get
The rate law is therefore
The rate constant can be found using the data from any of the experiments. For instance, using experiment 1, we get
