
(a)
Interpretation:
Concentration of the reactant has to be calculated that will be present after
(a)

Answer to Problem 13.50QE
The concentration of the reactant that will be present after
Explanation of Solution
Given initial concentration of the reactant is
Therefore, the rate constant of the reaction is
Integrated rate law for the first order reaction is given as follows;
Where,
Substituting the values in above equation, the concentration of the reactant that will be present after
Therefore, the concentration of reactant that remains after
(b)
Interpretation:
The time that will be taken for the concentration of the reactant to decrease to one-eighth of the initial value has to be calculated.
(b)

Answer to Problem 13.50QE
Time taken for the reactant concentration to get reduced to one-eighth of initial value is
Explanation of Solution
Given initial concentration of the reactant is
Therefore, the rate constant of the reaction is
Concentration of the reactant reduced to one-eighth is calculated as shown below;
Integrated rate law for the first order reaction is given as follows;
Where,
Substituting the values in above equation, the time taken for the concentration of the reactant to get reduced to one-eighth of the initial value can be calculated as follows;
Therefore, the time taken for the concentration of the reactant to get reduced to one-eighth of the initial value is
(c)
Interpretation:
The time that will be taken for the concentration of the reactant to decrease to
(c)

Answer to Problem 13.50QE
Time taken for the reactant concentration to get reduced to
Explanation of Solution
Given initial concentration of the reactant is
Therefore, the rate constant of the reaction is
Integrated rate law for the first order reaction is given as follows;
Where,
Substituting the values in above equation, the time taken for the concentration of the reactant to get reduced to
Therefore, the time taken for the concentration of the reactant to get reduced to
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Chapter 13 Solutions
Chemistry: Principles and Practice
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