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Chapter 26: Q36P (page 749)

(a) How many moles of analyte are present in a60.0cm脳25渭尘solution that occupies 1.0% of the length of a60.0cm脳25渭尘capillary?(b) What voltage is required to inject this many moles into a capillary in 4.0 s if the sample has 1/10 of the conductivity of background electrolyte,渭mp=3.0脳10-8m2/(V脳s) and the sample concentration is10.0渭惭?

Short Answer

Expert verified

a)n=29.5fmoles of analyte are present in a10.0-渭惭 solution.

b) V oltage required to inject this many moles into a capillary in 4.0 s isVv=3脳103V

Step by step solution

01

Step 1:Calculate mass and voltage

In this we will calculate the following:

a)the moles of analyte present in10.0-渭惭 solution that occupies 1% of the length of a 60 cm*25capillary.

b)the voltage required in order to inject that many moles into a capillary in 4 s.

02

Step 2:Calculate the volume of the sample

a)First we will calculate the volume of the sample

V=蟺谤2lV=蟺(12.5脳106m)2脳(0.006m)V=2.95脳10-12m3=2.95nL

03

Step 3:Calculate the moles by the following

Next calculate the moles by the following:

n=c脳Vn=(10脳10-6M)脳(2.95脳10-9L)n=29.5fmol

04

Step 4:Convert the concentration to mol/m3

We will convert the concentration to mol/m3

10脳10-6mol/dm3=1脳10-2mol/m3

05

Step 5:Calculate the voltage

Then we will use the following equation in order to calculate the voltageVv

n=渭appE脳kbkst蟺谤2cn=渭appVv脳kbLt脳kst蟺谤2c

Vv=n脳Lt脳ks/kb渭appt蟺谤2cVv=2.95脳10-15mol0.6m1/103脳10-8m2/Vs4s蟺12.5脳10-6m1脳10-2mol/m3Vv=3脳103V

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Most popular questions from this chapter

Low iron concentration (as low as 0.02nM) in the open ocean limits phytoplankton growth. Preconcentration is required to determine such low concentrations. Tracefrom a large volume of seawater is concentrated onto achelating resin column. The column is then rinsed with 10mLof 1.5M high-purity water and eluted withofhigh-purityHNO3.

(a) For each sample, seawater is passed through the column for 17hours at 10mL/min. How much is the concentration of Fe3+in the 10mLof NHO3eluate increased by this preconcentration procedure?

(b) What is the concentration of Fe3+in the seawater when 57 nm Fe3+is found in the nitric acid eluate?

(c) Reagent-grade concentrated nitric acid is 15.7 M and contains 鈮�0.2ppm iron. What would be the apparent concentration of Fe (nM) in a seawater blank if reagent-grade acid were used to prepare the 1.5M HNO3eluent?

Ferritin (molecular mass 450 000), transferrin (molecular mass 80 000), and ferric citrate were separated by molecular exclusion chromatography on Bio-Gel P-300. The column had a length of 37 cm and a 1.5-cm diameter. Eluate fractions of 0.65 mL were collected. The maximum of each peak came at the following fractions: ferritin, 22; transferrin, 32; and ferric citrate, 84. (That is, the ferritin peak came at an elution volume of 22 3 0.65 5 14.3 mL)Assuming that ferritin is eluted at the interstitial volume and that ferric citrate is eluted at Vm, findKavfor transferrin.

Electrophoretic mobility of the anionic form A2 of the weak acid phenol (HA=C6H5OH)and its derivatives are:

(a) Explain the trend in electrophoretic mobility from phenol to 4-methylphenol to 4-ethylphenol.

(b) Predict the electrophoretic mobility of the analytes at pH 10.0. Explain why the predicted mobility differs from mA2. (c) The electroosmotic mobility is toward the cathode and greater in magnitude than the analyte electrophoretic mobilities. In what order will the peaks appear in the electropherogram at pH 10.0?

Would molecular exclusion, affinity, or hydrophobic interaction chromatography be most appropriate for each of the following applications?

  1. Purifying and concentrating a crude mixture of an antibody.
  2. Desalting a solution containing a 30kDa protein.
  3. Finding the molecular mass distribution of polystyrene with 15kDa average mass.
  4. Separation of cytochrome c (12 400 Da) and ribonuclease A (12 600 Da). Cytochrome c has lower surface hydrophobicity than ribonuclease A.

(a) The interstitial volume, V0, in Figure 26-15 is the volume at which the curves rise vertically at the left. FindV0for the 25-nm-pore-size column. To the nearest order of magnitude, what is the smallest molecular mass of molecules excluded from this column? (b) What is the molecular mass of molecules eluted at 9.7 mL from the 12.5-nm column? (c)Vmis the volume at which the curves drop vertically at the right. Find the largest molecular mass that can freely enter the 45-nm pores.
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