
To find:
a) Write the rate law for the given reaction and the value of the rate constant at
b) Calculate the activation energy of the reaction from given data.

Answer to Problem 13.142QA
Solution:
a) The rate law for the given reaction is
b) The activation energy of the reaction is
Explanation of Solution
1) Concept:
We can write the rate law for the reaction as
We need to find the values of x, y to write complete rate law and then find the rate constant k of the reaction.
2) Given:
We are given the table for the values of initial concentrations and initial rates of
Experiment | Initial Rate |
||
3) Calculations:
a) We need to first find the order of reaction with respect to
Using the general equation of rate law,
We can write rate equations for all the experiments as
Now by taking the ratio of equation (1) and (2), we can find value of x.
Now, to find value of y, we have to take ratio of equation (2) and equation (3) and put
Thus, we can write the rate law equation as
1. Using this rate law and the values of concentrations and initial rates, we can find the rate constant,
i) So from experiment 1, rate law is
ii) From experiment 2, rate law is
iii) From experiment 3, rate law is
The average value of rate constant
b) To find the activation energy, we have to plot the graph of
We have given table for the values of rate constants at different temperatures.
The plot of
The activation energy would be
Conclusion:
a) The rate law for the given reaction is
b) The activation energy of the reaction is
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