/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}

91影视

The figure shows spectra of1.0010-4MMnO4-,1.0010-4and an unknown mixture of both, all in1.000cmpath 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 ofMnO4-,Cr2O72-, and an unknown mixture containing both ions.

Short Answer

Expert verified

The concentration of each species in the mixture is.

MnO4=8.3210-5MCr2O4=1.7810-4M

Step by step solution

01

State Beer’s Law:

Beer's law states that through the sample and the concentration of the absorbing species, the absorbance is proportional to the path length.

A=蔚产颁

A is the absorbance,is the molar absorptivity,b is the length of light path, C is the concentration.

02

Using the beer’s Law find the concentration:

Make a spreadsheet,

Calculatevalues using Beer鈥檚 Law,

=Ab-standard

Thus, Column can be calculated by using the formula,

A=xbXguess+bYguess

Hence, in cell D10 and D11 we know the values.

Take the concentration is0.001 M for each compound.

Thus, we calculated column G and column H.

Calculate the sum in columnH8.

Use the solver to calculate the concentration of unknown and highlight the cellH8.

Select data tabSolver and enterH8 in Set Objective.

Select the min button and in by Changing Variables enterD10 and D11.

Thus, solving method should be GR G nonlinear.

Hence, set Constraint Precision to a small number such as1E-12.

Therefore, by clicking solve, the values appears in the cell D10 andD11.

Thus, the concentration of each species in the mixture is.

MnO4=8.3210-5MCr2O4=1.7810-4M.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Infrared spectra are customarily recorded on a transmittance scale so that weak and strong bands can be displayed on the same scale. The region near 2000cm-1in the infrared spectra of compounds A and B is shown in the figure. Note that absorption corresponds to a downward peak on this scale. The spectra were recorded from a 0.0100M solution of each, in cells with 0.00500 - cm path lengths. A mixture of A and B in a 0.00500 - cm cell gave a transmittance 34.0 % of at2022cm and 383% at 1093 cm. Find the concentrations of A and B.

Chemical equilibrium and analysis of a mixture. (Warning! This is a long problem.) A remote optical sensor for CO2in the ocean was designed to operate without the need for calibration.33


The sensor compartment is separated from seawater by a silicone membrane through which CO2, but not dissolved ions, can diffuse. Inside the sensor, CO2equilibrates with HCO3and CO32. For each

measurement, the sensor is flushed with fresh solution containingbromothymol blue indicator. All indicator is in the formnear neutral pH, so we can

write two mass balances:

[HIn]+[ln2]=FIn=50.0渭惭补苍诲[Na+]=F狈伪=50.0渭惭+42.0渭惭=92.0渭惭

has an absorbance maximum at 434 nm andhas a maximum at 620 nm. The sensor measures the absorbance ratio RA=A620/A434reproducibly without need for calibration. From this ratio, we can findin the seawater as outlined here:

(a).From Beer鈥檚 law for the mixture, write equations forin terms of the absorbance at 620 and 434 nmThen show that

[ln2][Hln]=RA434HHn6,20Hln620ln2RA434ln2=Rln (A)

(b) From the mass balance (1) and the acid dissociation constant

, show that

[Hln]=F1nRln+1 (B)

[ln2]=KlnFln[H+](Rln+1) (C)

(c) Show that H+=Kln/Rln (D)

(d) From the carbonic acid dissociation equilibria, show that

[HCO3]=K1[CO(aq)]E[H+][CO32]=K1K2[CO(aq)]F[H+]2

(e) Write the charge balance for the solution in the sensor compartment. Substitute in expressions B, C, E, and F forHln,In2-,[HCO3], and[CO32]

(f) Suppose that the various constants have the following values:

4344HHn=8.00103M1cm1鈥呪赌呪赌呪赌K1=3.01076620Hn=0鈥呪赌呪赌呪赌K2=3.31011434ln2=1.90103M1cm1鈥呪赌呪赌呪赌Kln=2.0107620ln2=1.70104M1cm1鈥呪赌呪赌呪赌Kw=6.71015

From the measured absorbance ratio=2.84, findin the seawater.

(g) Approximately what is the ionic strength inside the sensor compartment? Were we justified in neglecting activity coefficients in working this problem?

Two ways to analyze a mixture. Figure 19-5 shows the spectrum of the indicator bromothymol blue adjusted to several pH values. The spectrum at pHis that of the pure blue form and the spectrum at pH 1.8is that of the pure yellow form. At other pHvalues, there is a mixture of the two forms. The total concentration isand the path length isin all spectra. For the purpose of calculation, assume that there are more than two significant digits in concentration and path length. Absorbance at the dots on three of the curves in Figure 19-5 is given in the table.

(a) Prepare a spreadsheet like Figure 19-3 to use absorption at all six wavelengths to find[In-]and[HIn]in the mixture. Comment on the sum[In-]+[HIn].

(b) From[In-]in the mixture, and frompKa=7.10for HIn,calculate theof the mixture. (This calculation is the source of pH labels in the figure.)

(c) Use Equations 19-6 at the peak wavelengths ofto findin the mixture. Compare your answers to those in (a). Which answers, (a) or (c), are probably more accurate? Why?

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 graph shows the effect of pH on quenching of luminescence of tris(2,2'-bipyridine) Ru(II) by 2,6-dimethylphenol. The ordinate, KSV, is the collection of constants, kq /(ke + kd), in the Stern-Volmer equation. The greater KSV, the greater the quenching. Suggest an explanation for the shape of the graph and

estimate pKa for 2,6-dimethylphenol.

See all solutions

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.