Consider the reaction between nitrogen dioxide and carbon monoxide:

NO₂(g) + CO(g) -> NO(g) + CO₂(g)

The initial rate of the reaction is measured at several different concentrations of the reactants, and the tabulated results are shown here.

From the data, determine:
a. the rate law for the reaction
b. the rate constant (k) for the reaction

[NO₂] (M) 0.10 0.20 0.20 0.40
[CO] (M) 0.10 0.10 0.20 0.10
Initial Rate (M/s) 0.0021 0.0082 0.0083 0.033