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The integrated rate law for the zero-order reaction A âB is [A] t = [A] 0 â kt. (a) Sketch the following plots: (i) rate versus [A] t and. (ii) [A] t versus t. (b) Derive an expression for the half-life of the reacÂ­tion. (c) Calculate the time in half-lives when the inÂ­tegrated rate law is no longer valid, that is, when [A] t = 0. STEP-BY-STEP SOLUTION. JavaScript Not Detected. JavaScript is required to view textbook solutions.
Conclusion: the reaction is first order in A. 3) The rate law for this reaction is: 4) We can use any set of data to calculate the rate constant: 9.6 x 10 -6 M s -1 = k (0.040 M) (0.040 M). k = 0.0060 M -1 s -1. Comment: remember that M -1 s -1 is often written as L mol -1 s -1.ften the rate constant unit is rendered thusly: L 2 mol -2 s -1. Note that the overall order of the rate law is third order and that this is reflected in the unit associated with the rate constant.