Consider the tabulated data showing the initial rate of a reaction (A → products) at several different concentrations of A. What is the order of the reaction? Write a rate law for the reaction including the value of the rate constant, k.
Ch.14 - Chemical Kinetics
Chapter 14, Problem 47
Indicate the order of reaction consistent with each observation. a. A plot of the concentration of the reactant versus time yields a straight line. Indicate the order of reaction consistent with each observation b. The reaction has a half-life that is independent of initial concentration. c. A plot of the inverse of the concentration versus time yields a straight line.
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<For part (a), recognize that a plot of concentration versus time yielding a straight line indicates a zero-order reaction. In a zero-order reaction, the rate of reaction is constant and does not depend on the concentration of the reactant.>
<For part (b), understand that a reaction with a half-life independent of initial concentration is characteristic of a first-order reaction. In a first-order reaction, the half-life is constant and does not change with varying initial concentrations.>
<For part (c), identify that a plot of the inverse of concentration versus time yielding a straight line suggests a second-order reaction. In a second-order reaction, the rate is proportional to the square of the concentration of the reactant.>
<To summarize, the order of reaction can be determined by analyzing the relationship between concentration and time, as well as the behavior of the half-life.>
<These observations help in understanding the kinetics of the reaction and determining the rate law.>
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