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Chapter 19: Q7P (page 485)

The spreadsheet gives the productεbfor 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.

Short Answer

Expert verified

The concentration of each compound is,

p-xylene=0.0627Mm-xylene=0.0795Mo-xylene=0.0759Methylbenzene=0.0761M

Step by step solution

01

Define concentration:

In a given quantity of solution, the amount of solute that is present is called concentration.

02

Find the concentration of a compound by using a formula:

Make a spreadsheet,

Hence, the column H can be calculated using the formula,

=MMULTMINVERSEB4:E7;F4:F7

Therefore, the concentration of each compound is,

p-xylene=0.0627Mm-xylene=0.0795Mo-xylene=0.0759Methylbenzene=0.0761M

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Most popular questions from this chapter

Simulating a Job’s plot. Consider the reaction A+2B⇌AB2,forwhichK=[AB2]/[A][B]2. Suppose that the following mixtures of A and B at a fixed total concentration of

10-4 M are prepared:

(b)Prepare a graph by the method of continuous variation in which you plot[AB2]versus mole fraction offor each equilibrium constant. Explain the shapes of the curves.

Find the concentration of [X] if the absorbance are 0.700 at 272 nm and

0.550 at 327 nm.

This problem can be worked with Equations 19-6 on a calculator or with the spreadsheet in Figure 19-4. Transferrin is the iron-transport protein found in blood. It has a molecular mass of 81 000 and carries twoFe3+ions. Desferrioxamine B is a chelator used to treat patients with iron overload (see the opening of Chapter 12). It has a molecular mass of about 650 and can bind oneFe3+Fe31. Desferrioxamine can take iron from many sites within the body and is excreted (with its iron) through the kidneys. Molar absorptivities of these compounds (saturated with iron) at two wavelengths are given in the table. Both compounds are colorless (no visible absorption) in the absence of iron.


(a) A solution of transferrin exhibits an absorbance of 0.463 at 470 nm in a 1.000-cm cell. Calculate the concentration of transferrin in milligrams per milliliter and the concentration of bound iron in micrograms per milliliter.

(b) After adding desferrioxamine (which dilutes the sample), the absorbance at 470 nm was 0.424, and the absorbance at 428 nm was 0.401. Calculate the fraction of iron in transferrin and the fraction in desferrioxamine. Remember that transferrin binds two iron atoms and desferrioxamine binds only one.

The spreadsheet lists molar absorptivities of three dyes and the absorbance of a mixture of the dyes in a 1.000-cm cell. Use the least-squares procedure in Figure 19-3 to find the concentration of each dye in the mixture.

When are isosbestic points observed and why?
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