In the reaction NH4+ + NO2- N2 + 2 H2O, which had this rate law:
k[NH4+][NO2-]
it isn't difficult to imagine that the concentrations of either reactant might have the same effect on the rate. After all, they are in a 1:1 ratio in the balanced equation. But a study of just a few rate laws will show that this is an erroneous connection. In fact, except for the very simplest kinds of reactions the orders in the rate law are generally only coincidentally related to the coefficients in the balanced equation.

The rate law for the second reaction, NO2 + CO NO + CO2, which was
k[NO2]2, is interesting because it tells us that the concentration of CO is not a factor in the rate and the concentration of NO2 is important out of proportion to its appearance in the balanced equation. How can this be?