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Chapter 23: Q31P (page 630)

Isotopic compounds (isotopologues) are separated in Figure 23-15 by repeated passage through a pair of columns. Each cycle in the figure represents

one pass through length L = 25 cm containing

L theoretical plates. The relative retention (伪) is and the retention factor for

L-phenylalanine is k2=1.62. (a) The observed resolution after 10 cycles is 1.60 .

Calculate the number of theoretical plates, N , in column length L . The mixture

has passed through length 10L in 10 cycles.

(b) Find the plate height in 渭尘.

(c) Predict the resolution expected from two cycles. The observed value is 0.71 .

Short Answer

Expert verified

The solution is

a) 1.26脳104=N

b) H=20渭尘

c)The resolution is 0.72

Step by step solution

01

of 5

Each cycle in the 23-15 diagram depicts one trip across a length of L = 25 cm containing N theoretical plates. The retention factor for L - phenylalanine is 1.62 , and the relative retention is 1.03 .

02

of 5

It is given

L=25伪=1.03k2=1.62

03

of 5

a) If the measured resolution after 10 cycles is 1.60 and the mixture passes

through, calculate the number of theoretical plates. 10 cycles of length . 10

Purnell equation for resolution

Resolution=N4伪-1伪k21+k2

Because there are cycles, we will have .


role="math" localid="1654940963327" Resolution=10N4伪-1伪k21+k21.60=10N41.03-11.031.621+1.621.60=10N脳4.5脳10-31.604.5脳10-3=10N355.56=10N


To get rid of the root on the right, multiply the left value by a square.


355.562=10N126422=10N12642.2=N1.26脳104=N
04

of 5

b) If the length is 25cm , we'll find the plate height next.

H=LNH=25cm1.26脳104H=2脳10-3cm=20渭尘

05

of 5

c) If the observed value is 0.71 , we will anticipate the resolution expected after two

cycles: - in order to acquire

- To obtain the result, we will compare two cycles (one with two cycles and the other

with ten) - resolution is proportional to N

resolution2resolution10=210=0.447

.The resolution would then be1.60脳0.447=0.72

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Most popular questions from this chapter

A chromatographic procedure separatesof unknown mixture on a column with a length ofand a diameter of. (a) What size column would you use to separateof the same mixture? (b) If the flow ison the small column, what volume flow rate should be used on the large column? (c) The mobile phase occupiesof the column volume. Calculate the linear velocity for the small column and the large column.

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?

Solvent occupies15% of the volume of a chromatography column whose inner diameter is 3mm. If the volume flow rate is 0.2mL / min, find the linear velocity.

Solvent passes through a column in 3minbut solute requires9min (a) Calculate the retention factor,k.(b) What fraction of time is the solute in the mobile phase in the column? (c) The volume of stationary phase is110of the volume of the mobile phase in the columnVS=0.10VM. Find the partition coefficient, K, for this system.

(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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