Answer:
Average plate height: 67,4μm
Resolution: 3,10
Resolutin with increase N by a factor of 1,5: 3,80
Explanation:
Average plate height is the average between plate height of aspartame and caffeine.
Plate height is:
[tex]H = \frac{L}{16(\frac{t_R}{W} )^2}[/tex]
For aspartame: [tex]H = \frac{0,241x10^{6}um}{16(\frac{267,1s}{18,9s} )^2}[/tex]
H = 75,4 μm
For caffeine: [tex]H = \frac{0,241x10^{6}um}{16(\frac{216,7s}{13,6s} )^2}[/tex]
H = 59,33 μm
Average plate height is:
(59,3μm + 75.4μm)/2= 67,4μm
The resolution formula is:
[tex]R = \frac{2(t_{R2}-t_{R1})}{(w_2+w_1)}[/tex]
Replacing:
[tex]R = \frac{2(267,1s-216,7s)}{(18,9s+13,6s)}[/tex]
R = 3,10
As resolution is proportional to the square root of the number of theoretical plates, the increasing of 1,5 in the number of theoretical plates increases the resolution by a factor of √1,5 ≈ 1,22
That means resolution would be:
R 1,5N = 3,10×√1,5= 3,80
I hope it helps!
