The following data are for a liquid chromatographic column:

Length of packing (L) 24.7 cm
Flow rate 0.313 mL/min
VM 1.37 mL
VS 0.164 mL
A chromatogram of a mixture of species A, B, C and D provided the following data

Retention time
Nonretained 3.1 -
A = 5.4
B = 13.3
C = 14.1
D = 21.6

Width of peak
A = 0.41
B= 1.07
C= 1.16
D= 1.72

Calculate the Retention Factor for A,B,C and D.

I've done that...
A= 0.74
B= 3.29
C= 5.96
D= 4.44

Calculate the Distribution constant for A,B,C and D? (having trouble here)

And Calculate the following..
(a) the number of plates from each peak and the mean.

Number of plates = 16*tr^2/w^2
a = 2775.49
b = 2472.04
c = 2363.97
d = 2523.30

mean = 2533.7

(b) the plate height for the column. (having lots of trouble here)

Calculate for species B and C,

The selectivity factor = tr'2/tr'1

which = 3.54/3.29
= 1.07

the length of column necessary to separate the two species with a resolution of 1.5. ( I cant do this one please help)

Thanks, to whoever helps me out with this, I am having so much trouble

3 answers

The retention time looks good for A, except that you should have 0.792-- one more significant figure, so I will move on to the next problem. This is only for A, and I think you can perform the rest after I am done. To solve for the distribution constant, perform the following:

k=K/Beta

Where

k=0.74
Beta=VM/VS=1.37 mL/0.164 mL
and
K=???

Solve for K:

K=0.74*(1.37 mL/0.164 mL)

K=0.74*8.354

K=6.18

For the number of plates:

Use the following equation:

N=16*(Tr/W)^2

Where

Tr=5.4
W=0.41
and
N=???

Solve for N:

N=16*(5.4/0.42)^2

N=2.64 x 10^3

*** I'll let you solve for the mean.

For the plate height, use the following equation:

N=L/H

Where

N=2.64 x 10^3
L=24.7 cm
and
H=??

Solve for H:

L/N=H

24.7 cm/2.64 x 10^3=H

H=0.00934=9.34 x 10^-3

For the selectivity factor, it looks good, but we have a difference in the last significant figure:

Use the equation below and solve for alpha:

Alpha=tr2/tr1

Where

tr'2=14.1
and
tr'1=13.5

Alpha=14.1/13.5=1.04
I don’t understand the answer do it for me step by step so I can understand it
How do I solve the mean
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