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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 (c) Calculate the time in half-lives when the inÂ­tegrated rate law is no longer valid, that is, when [A] t = 0.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.
Vocabulary. half life first order reaction integrated rate law rate constant. Rearrange the equation so that all concentration dependent terms are collected on one side, and all time dependent terms are on the other: The half life is the time required for the concentration to drop to one-half its original value.