The decomposition of A has the rate law Rate = k_r[A]^a. Show that for this reaction the ratio t_1/2/t_3/4, where t_1/2 is the half-life and t_3/4 is the time for the concentration of A to decrease to three-fourths of its initial concentration, can be written in terms of a alone and can therefore be used to make a quick assessment of the order of the reaction in A.