Solution - Integrated Rate Equations - First Order Reactions



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The time required for 10% completion of a first order reaction at 298 K is equal to that required for its 25% completion at 308 K. If the value of is 4 × 1010 s−1. Calculate at 318 K and Ea.


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The rate constant for a first order reaction is 60 s−1. How much time will it take to reduce the initial concentration of the reactant to its 1/16th value?

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For the decomposition of azoisopropane to hexane and nitrogen at 543 K, the following data are obtained.

t (sec) P(mm of Hg)
0 35.0
360 54.0
720 63.0

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In a pseudo first order hydrolysis of ester in water, the following results were obtained:

t/s 0 30 60 90
[Ester]mol L−1 0.55 0.31 0.17 0.085

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The reaction between A and B is first order with respect to A and zero order with respect to B. Fill in the blanks in the following table:

Experiment A/ mol L−1 B/ mol L−1 Initial rate/mol L−1 min−1
I 0.1 0.1 2.0 × 10−2
II -- 0.2 4.0 × 10−2
III 0.4 0.4 --
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Reference Material

Solution for concept: Integrated Rate Equations - First Order Reactions. For the courses 12th CBSE (Arts), 12th CBSE (Commerce), 12th CBSE (Science), PUC Karnataka Science