The second order reaction A → Products takes 13.5 s for the concentration of A to decrease from 0.740 M to 0.275 M. What is the value of k for this reaction?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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The second order reaction A → Products takes 13.5 s for the concentration of A to decrease from 0.740 M to 0.275 M. What is the value of k for this reaction?
 
 
 
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Step 1

A ==> Products

Since it is 2nd order in A, we can write the rate equation as ...

Rate = k[A]2

The rate can be determined by the change in [A] with respect to time as ...

change in [A] = 0.740 M - 0.275 M = 0.465 M

change in time = 13.5 s

Rate = 0.465 M/13.5 s = 0.0344 M/s

 

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