Substances A and B have retention times of 16.40 and 17.63 min, respectively, on a 30.0-cm column. An unretained species passes through the column in 1.30 min. The peak widths (at base) for A and B are 1.11 and 1.21 min, respectively. Calculate (a) column resolution, (b) average number of plates in the column, (c) plate height, (d) length of column required to achieve a resolution of 1.5, and (e) time
Substances A and B have retention times of 16.40 and 17.63 min, respectively, on a 30.0-cm column. An unretained species passes through the column in 1.30 min. The peak widths (at base) for A and B are 1.11 and 1.21 min, respectively. Calculate (a) column resolution, (b) average number of plates in the column, (c) plate height, (d) length of column required to achieve a resolution of 1.5, and (e) time
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:15:16
given by the equation
Introduction to Chromat...
R₁ = VN (-1) (-₂)
4
where k'g is the capacity factor of the slower moving species and
a is the selectivity factor.
2
2
1+kB
a
N = 16R² ² (1+)²
α-1,
6730 May 2023
18
This equation can be rearranged to give the number of plates
needed to realize a given resolution:
4G|| 25 82
19
6830 May 2023
Effect of Resolution on Retention Time
As mentioned earlier, the goal in chromatography is the
highest possible resolution in the shortest possible
elapsed time.
Unfortunately, these goals tend to be incompatible;
consequently, a compromise between the two is
usually necessary.
The time (t) required to elute the two species in
Figure above with a resolution of Rs is:
2
16R²
u
(ER) B = 16A ² (__) ² (1+ku) ²
(KB)
where u is the linear velocity of the mobile phase.
67
20
68
Example
Substances A and B have retention times of 16.40
and 17.63 min, respectively, on a 30.0-cm column.
An unretained species passes through the column
in 1.30 min. The peak widths (at base) for A and B
are 1.11 and 1.21 min, respectively. Calculate (a)
column resolution, (b) average number of plates in
the column, (c) plate height, (d) length of column
required to achieve a resolution of 1.5, and (e) time
required to elute substance B on the longer column.
Answer
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