The rate of the reaction in terms of the \"disappearance of reactant\" includes

Question

The rate of the reaction in terms of the "disappearance of reactant" includes the change in the concentration of the reactant, the time interval, and the coefficient of the reactant. Consider the following reaction: 2A + 3B ----> 3C + 2D The concentrations of reactant A at three different time intervals are given. Use the following data to determine the average rate of reaction in terms of the disappearance of reactant A between time = 0 s and time = 20 s. Time (s) 0 20 40 [A] (M) 0.0200 0.0120 0.0090 Express your answer in molar concentration per second to three significant figures. Don't know how to approach this problem! Please help

Explanation / Answer

The order of the reaction with respect to A has to be determined. This is done by plotting [A] vs t (0 order), ln[A] vs t (1st order), and 1/[A] vs t (2nd order); whichever gives a straight line gives the order. When this is done, [A] vs t gives 93% correlation, ln[A] vs t gives 97% correlation, and 1/[A] vs t gives 99.7% correllation. Therefore the reaction is 2nd order in A, and the equation:
Rate = k[A]

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