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How to calculate the rate law from experimental data

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Using this data calculate the rate law for the reaction A + B -> C

[A] (M) [B] (M) Initial rate (M/s)
0.10 0.10 0.0092
0.20 0.20 0.0184
0.20 0.40 0.0368

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Solution Summary

How do we find the rate law if we are given a set of data? This question plagues many students of chemistry, but this solution shows you that it's not too hard! Included here is an explanation of the mathematics involved in the calculation, along with the quickest route to the answer possible. Don't miss this solution if you are having trouble with chemical kinetics!

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We use the general formula r=k[A]^x * [B]^y, and we'll use the second and third equations to solve (since the concentration of A does not change, it will make it easier)

0.0184=k(0.2)^x(0.2)^y
0.0368=k(0.2)^x(0.4)^y

We'll get the x-term alone so we can ...

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