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The graph of a 2nd reaction is graphed on the axes of (x = time) and (y = 1/[concentration]). In order to visualize our reaction in a linear format, we consider it in terms of 1/[Molarity]. This is similar to how we take the natural log of the concentration for the 1st order reaction to get a line. It shows that a second order reaction grows linearly in relation to per concentration over time, or as the unit of the rate shows: L/mol*s. The graph just shows the data of the reaction except in a linear form. In regards to the differential rate law for the 2nd order reaction, this rate law maps the rate change, while the integrated rate law corresponds directly to the graph. (The graph plotted generally just shows slope k, to help identify the way the constant changes).
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