Chapter 19: Q3P (page 484)
When are isosbestic points observed and why?
Short Answer
When spectra of two compounds with a constant total concentration cross at any wavelength, the isosbestic points are observed.
Chapter 19: Q3P (page 484)
When are isosbestic points observed and why?
When spectra of two compounds with a constant total concentration cross at any wavelength, the isosbestic points are observed.
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Get started for freeThe indicator xylenol orange (Table 12-3) forms a complex with Zr(IV)in HCIsolution. Prepare a Job plot from the data in the table and suggest the stoichiometry of the complex (xylenol orange).
The spreadsheet gives the productfor four pure compounds and a mixture at infrared wavelengths. Modify Figure 19-4 to solve four equations and find the concentration of each compound. You can treat the coefficient matrix as if it were molar absorptivity because the path length was constant (but unknown) for all measurements.
Now we use Solver to find Kfor the previous problem. The only absorbing species at 332 nmis the complex, so, from Beer’s law is either free or bound in the complex,so There is a huge excess of mesitylene, so
The spreadsheet shows some of the data. You will need to use all the data. Column A contains [mesitylene] and column B contains . Column C lists the measured absorbance. Guessa value of the molar absorptivity of the complex,Then compute the concentration of the complex in column D. The equilibrium constant in column
should we minimize with Solver? We want to varyεin cell A7 until the values of Kin column E are as constant as possible. We would like to minimize a function like , where Kiis the value in each line of the table and Kaverage is the average of all computed values. The problem with is that we can minimize this function simply by making very small, but not necessarily constant. What we really want is for all the to be clustered around the mean value. A good way to do this is to minimize the relative standard deviationof the K, which is (standard deviation)/average. In cell E5we compute the average value of Kand in cell E6the standard deviation. Cell E7contains the relative standard deviation. Use Solver to minimize cell E7by varying cell A7. Compare your answer with that of Problem 19-13.
The figure shows spectra ofand an unknown mixture of both, all inpath length cells. Absorbances are given in the table. Use the least squares procedure in Figure 19-3 to find the concentration of each species in the mixture.
Visible spectrum of and an unknown mixture containing both ions.
Iodine reacts with mesitylene to form a complex with an absorption maximum at 332 nm in CCl4 solution:
(b)Spectrophotometric data for this reaction are shown in the table.Becausewe can say that [mesitylene][mesitylene]tot. Prepare a graph ofversusand find the equilibrium constant and molar absorptivity of the complex.
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