Determining Reaction Rates

Upon the inspection of any experimental data describing the preliminary rate of a given chemical system...

If the [A] doubles and the reaction rate also doubles, then the rate of this chemical system in question, share a directly proportional relationship to the concentration of species "A". Thus the reaction rate of teh chemical system is of the first order with respect to species A.

Now, if the [A] doubles in an independant experiment, and in this case, the rate of the reaction for this chemical sysetm...let's say for argument's sake- increases by a factor of four...then the rate of reaction of this chemical system, and the reactant species "A", are correlated by a factor of 2. Thus the system is of second order with respect to species A.

...Lastly. If the concentration of species A changes by any factor durring the course of the reaction, and the rate of the chemical system stays static, this indicates that the rate of reaction of this chemical system is, in fact, independant of the [A]. This is known as a Zeroth-order reaction (with respect to chemical species "A") and is therefore of the power zero. Now, for the rate law: rate=k[A]^alpha[B]^beta...an exponent of zero will always result in one, thus rendering the rate equal to that of the rate constant "k".

thank you kindly for your time.