To find:
a) In the first order reaction of decomposition of
b) Percentage of
Answer to Problem 13.69QA
Solution:
a) The amount (concentration) of
b) Percent of
Explanation of Solution
1) Concept:
In the first order reaction, the rate nearly depends on only one reactant, so it is possible to find out the concentration of the reactant at any time once the reaction gets started using the integrated rate law.
2) Formula:
i. Integrated rate law for first order reaction is
i.e.
Where
ii. Percent reacted:
3) Given:
4) Calculation:
a) Amount (concentration) of
Since rate constant is in second (
Plug the given values in the equation 1,
Therefore, the amount (concentration) of
b) Percent of
In part (a) we have calculated the concentration of
Use this value to calculate the percent of
Therefore, the percent of N2O5 reacted at 1 h is 90%
Conclusion:
We have used integrated rate law to find out the concentration of reactant at the given time after the reaction starts. From this we calculated the percent of reactant reacted in the reaction.
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