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Chapter 23: Q44P (page 631)

A chromatogram with ideal Gaussian bands hastr=9minand
w1/2=2min.

(a) How many theoretical plates are present?

(b) Find the plate height if the column is 10cm long.

Short Answer

Expert verified

The solution is

a)N=112b)H=0.089cm

Step by step solution

01

of 3

We have a chromatogram with perfect Gaussian bands of tr=9minand w1/2=2minin this task.

Because we have w1/2here, we used the half-width formula instead of Equation 23-30.

02

of 3

a) Here we will find the number of theoretical plates present on a column:

N=5.55tr2w1/22N=5.55脳9min22min2N=112

Because we haveW1/2 here, we used the half-width formula instead of Equation 23-30

03

of 3

a)If the column is long, we will compute the plate height as follows:

H=LNH=10cm112=0.089cm

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Most popular questions from this chapter

Match statements 1鈥�5 with the band broadening terms in the second list.

1. Depends on radius of open tubular column.

2. Not present in an open tubular column.

3. Depends on length and radius of connecting tubing.

4. Increases with diffusion coefficient of solute.

5. Increases with thickness of stationary phase film.

A Multiple paths

B Longitudinal diffusion

Cm Equilibration time in mobile phase

Cs Equilibration time in stationary phase

EC Extra column band broadening

A solute with partition co-efficient of 4.0 is extracted from 10 mL of phase 1 into phase 2.

(a) What volume of phase 2 is needed to extract 99% of the solute in one extraction?

(b) What is the total volume of solvent 2 needed to remove 99% of the solute in three equal extractions?

An open tubular column has an inner diameter of 207渭尘and the thickness of the stationary phase on the inner wall is 0.50渭尘. Unretained solute passes through in 63s and a particular solute emerges in 433s . Find the partition coefficient for this solute and find the fraction of time spent in the stationary phase.

When performing liquid-liquid extraction, it is common practice to shake the separatory funnel to disperse one phase into the other.

(a) Does shaking the separatory funnel change the partition coefficient?

(b) Explain the purpose of shaking the funnel.

(a) Write the meaning of the retention factor,k, in terms of time spent by solute in each phase. (b) Write an expression in terms of kfor the fraction of time spent by a solute molecule in the mobile phase. (c) The retention ratio in chromatography is defined as R=timeforsolventtimeforsolutetopassthroughcolumn=tmtrShow that is related to the retention factor by the equation R=1/k+1
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