The reaction A → B + C is known to be first order in A. Below are data showing the concentration of A as a function of reaction time. Time, h                                     [A], M 0                                               1.00 x 10-1 2                                               8.81 x 10-2 4                                               7.75 x 10-2 8                                               6.01 x 10-2 16                                             3.61 x 10-2 20                                             2.80 x 10-2 24                                             2.17 x 10-2 (a) What is the average rate of reaction between 2 and 8 h? Report the units as well as the numbers. (b) Plot the data above, showing the concentration of A as a function of the time. From your graph, determine the instantaneous rate of reaction at 16 h. Report the units as well as the numbers. (c) Plot ln [A] versus time. Estimate the rate constant for this first-order reaction from your graph. Report the units as well as the numbers.

Chemistry & Chemical Reactivity
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ISBN:9781133949640
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
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Chapter14: Chemical Kinetics: The Rates Of Chemical Reactions
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The reaction A → B + C is known to be first order in A. Below are data showing the concentration of A
as a function of reaction time.

Time, h                                     [A], M
0                                               1.00 x 10-1
2                                               8.81 x 10-2
4                                               7.75 x 10-2
8                                               6.01 x 10-2
16                                             3.61 x 10-2
20                                             2.80 x 10-2
24                                             2.17 x 10-2


(a) What is the average rate of reaction between 2 and 8 h? Report the units as well as the numbers.


(b) Plot the data above, showing the concentration of A as a function of the time. From your graph,
determine the instantaneous rate of reaction at 16 h. Report the units as well as the numbers.


(c) Plot ln [A] versus time. Estimate the rate constant for this first-order reaction from your graph.
Report the units as well as the numbers.

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