How do i figure out the Rate Law for this:?

For each reactant A and B you have to see what happens to the rate of rxn when you effect the concentration of the substance.

Since [A] is .2 in both trials 1 and 2 you can look at the effect of changing in these trials, when B doubles the rate doubles so rxn is first order w/ respect to B.
Given that you would expect the rate two double when is raised from .2 to .4, since the rate is four times as great between trials 2 and 3 you can deduce that the reaction is also first order w/ respect to [A]
since doubling both would have the effect of squaring 2 which is four.

Rate Law K= [A]
 
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