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Reaction kinetics investigation

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The reaction between aquopentaaminecobaitfill) ions, {C0'(NH3)s{H20}i3+» and thiocyanate ions, NCS-, under certain conditions in aqueous solution at 7'0 "C has the following tilne-independent stoiohiometry {C0{3*|Ha)s{H20)}3+ "' N95' = {C°(NH3)5(NC5)}I* + H19 (1) The results of a chemical kinetic investigation, in which the concentration of {Co{Nl-l3)5(1-1;D)}3+ was measured over a limited time period at TD "C, are given
in Table 2 (attached)

Reaction 1 is pseudo-first-order under the conditions used in the kinetic investigation that produced the data in Table 2. Given just these data, answer the following questions:
(i) Briefly explain why a preliminary half-life check would not be useful for pseudo-first-order behaviour.
(ii) Show how the general approach of the differential method can be used to verify the pseudo-first-order behaviour. Your answer should include a table of the data (including values of J) that you use, and an appropriate graph. Your graph should be correctly labelled

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Solution Summary

A chemical kinetic investigation reveals a table of results for a reaction. Questions follow on proper procedures for the pseudo first order reaction.

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a) A pseudo first order kinetic equation will give the same linear plot as will a true first order equation ln[M]/[M]0 against time but the slope of the pseudo-first-order plot will be -k(concentration) of the two reactants. If you look in your table you can see that the half life time is independent of concentration of the reactant. If we measure concentration at any time in first order reaction we see that it decreases to half of that measured value at a time 0.0693/k later. So this is the reason why the preliminary half life check is not useful in this case. Pseudo means false so it is falsely a first order reaction.

b) I have determined the values in Table . The third ...

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