What is the difference between average rate, initial rate, and instantaneous rat

Question

What is the difference between average rate, initial rate, and instantaneous rate? Ozone decomposes to oxygen according to the equation 2O_3(g) rightarrow 3O_2(g). Write the equation that relates the rate expressions for this reaction in terms of the disappearance of O_3 and the formation of oxygen. A study of the rate of dimerization of C_4H_6 gave the data shown in the table: 2C_4H-6 rightarrow C_8H_12 Determine the average rate of dimerization between 0 s and 1600 s. and between 1600 s and 3200 s. Estimate the instantaneous rale of dimerization at 3200 s from a graph of time versus [C_4H_6]. What are the units of this rate? Determine the average rate of formation of C_8H_12; at 1600 s and the instantaneous rate of formation at 3200 s from the rates found in parts (a) and (b).

Explanation / Answer

Problem 1)

Instantaneous rate refers to the rate of the reaction at the particular instant. It is given by the slope of the tangent at the time t, of the curve of reactant concentration versus time.

Initial rate of a reaction is the rate at which the reaction starts. It is the instantaneous rate when time, t=0. It is equal to the negative slope of the curve of reactant concentration versus time, at time t=0.

initial rate, r0= -d[A]/dt

Average reaction rate refers to the ratio of change in concentration of reactant with respect to time.

Average rate, ravg = -delta[A]/ delta time

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