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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 (c) Calculate the time in half-lives when the inÂ­tegrated rate law is no longer valid, that is, when [A] t = 0.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.
The first-order integrated rate law. The integrated rate law for a first-order reaction. A â products. is a common example of the law of exponential change. For a reactant A, its concentration [A] t at time t is given by [A] t = [A] o Ã e âkt. in which [A] o is its initial concentration and k is the first-order rate constant.