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For these first order unimolecular processes, the initial rate of the process should be proportional to the concentration of the reacting species, rate kc (in the language of calculus, -dc/dt = kc). One method for providing support for the first order reaction is to measure initial rates of reaction and determine if the rates are proportional to the starting concentration. Another method of checking a proposed mechanism involves integration of the equation. A first order reaction results in In (c/c.) = -kt or Inc = -kt + Inco where c, is the original concentration of the reacting species. A graph of Inc vs t should give a straight line if the reaction is first order. More complex reactions can also be tested by the measurement of initial rates to determine concentration dependence or by integration of the proposed mathematical relationship. The latter method requires support by a graphical test such as a straight line. Technetium is the first element in the periodic chart that does not have any stable isotopes. Technetium-99m is an especially interesting and valuable isotope as it emits a gamma ray with a half-life ideally suited for medical tests. It would seem that the decay of technetium should fit the treatment above with the result In(c/c.) = -kt. Graph the fraction (c/c.) on the vertical axis versus the time on the horizontal axis. Also graph In(c/c.) on the vertical axis versus time on the horizontal axis. hours fraction remaining 0 1 1 0.891 T 23456789 0.794 0.708 0.631 0.562 0.501 0.447 0.398 0.355 10 0.316 11 0.282 12 0.251 18 0.13

For these first order unimolecular processes, the initial rate of the process should be proportional to the concentration of the reacting species, rate kc (in the language of calculus, -dc/dt = kc). One method for providing support for the first order reaction is to measure initial rates of reaction and determine if the rates are proportional to the starting concentration. Another method of checking a proposed mechanism involves integration of the equation. A first order reaction results in In (c/c.) = -kt or Inc = -kt + Inco where c, is the original concentration of the reacting species. A graph of Inc vs t should give a straight line if the reaction is first order. More complex reactions can also be tested by the measurement of initial rates to determine concentration dependence or by integration of the proposed mathematical relationship. The latter method requires support by a graphical test such as a straight line. Technetium is the first element in the periodic chart that does not have any stable isotopes. Technetium-99m is an especially interesting and valuable isotope as it emits a gamma ray with a half-life ideally suited for medical tests. It would seem that the decay of technetium should fit the treatment above with the result In(c/c.) = -kt. Graph the fraction (c/c.) on the vertical axis versus the time on the horizontal axis. Also graph In(c/c.) on the vertical axis versus time on the horizontal axis. hours fraction remaining 0 1 1 0.891 T 23456789 0.794 0.708 0.631 0.562 0.501 0.447 0.398 0.355 10 0.316 11 0.282 12 0.251 18 0.13

Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter11: Rate Of Reaction
Section: Chapter Questions
Problem 98QAP
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Please help me figure out these calculation and what should be plotted. These are notes for my chemistry class.  

For these first order unimolecular processes, the initial rate of the process should be proportional to the concentration of the reacting species, rate kc (in the language of calculus, -dc/dt = kc). One method for providing support for the first order reaction is to measure initial rates of reaction and determine if the rates are proportional to the starting concentration. Another method of checking a proposed mechanism involves integration of the equation. A first order reaction results in In (c/c.) = -kt or Inc = -kt + Inco where c, is the original concentration of the reacting species. A graph of Inc vs t should give a straight line if the reaction is first order. More complex reactions can also be tested by the measurement of initial rates to determine concentration dependence or by integration of the proposed mathematical relationship. The latter method requires support by a graphical test such as a straight line. Technetium is the first element in the periodic chart that does not have any stable isotopes. Technetium-99m is an especially interesting and valuable isotope as it emits a gamma ray with a half-life ideally suited for medical tests. It would seem that the decay of technetium should fit the treatment above with the result In(c/c.) = -kt. Graph the fraction (c/c.) on the vertical axis versus the time on the horizontal axis. Also graph In(c/c.) on the vertical axis versus time on the horizontal axis. hours fraction remaining 0 1 1 0.891 T 23456789 0.794 0.708 0.631 0.562 0.501 0.447 0.398 0.355 10 0.316 11 0.282 12 0.251 18 0.13
Transcribed Image Text:For these first order unimolecular processes, the initial rate of the process should be proportional to the concentration of the reacting species, rate kc (in the language of calculus, -dc/dt = kc). One method for providing support for the first order reaction is to measure initial rates of reaction and determine if the rates are proportional to the starting concentration. Another method of checking a proposed mechanism involves integration of the equation. A first order reaction results in In (c/c.) = -kt or Inc = -kt + Inco where c, is the original concentration of the reacting species. A graph of Inc vs t should give a straight line if the reaction is first order. More complex reactions can also be tested by the measurement of initial rates to determine concentration dependence or by integration of the proposed mathematical relationship. The latter method requires support by a graphical test such as a straight line. Technetium is the first element in the periodic chart that does not have any stable isotopes. Technetium-99m is an especially interesting and valuable isotope as it emits a gamma ray with a half-life ideally suited for medical tests. It would seem that the decay of technetium should fit the treatment above with the result In(c/c.) = -kt. Graph the fraction (c/c.) on the vertical axis versus the time on the horizontal axis. Also graph In(c/c.) on the vertical axis versus time on the horizontal axis. hours fraction remaining 0 1 1 0.891 T 23456789 0.794 0.708 0.631 0.562 0.501 0.447 0.398 0.355 10 0.316 11 0.282 12 0.251 18 0.13
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