Question

23-38. What is the optimal flow rate in Figure 23-17 for best separation of solutes?

Short answer

The solution is ,

The best flow rate in Figure 23-17 is $33\frac{\mathrm{mL}}{\min }$since the plate height is $\mathrm{H}=3$mm, which is the lowest height in this situation.

Step-by-step solution

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In this task, we'll figure out how to get the best separation of solutes by determining the appropriate flow rate in Figure 23-17.

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- Because plate height is inversely proportional to the number of plates $\mathrm{N}$, it is argued that at optimum linear velocity, the plate height$\mathrm{H}$ is the lowest.

Resolution$=\frac{\sqrt{\mathrm{N}}}{4}\frac{(\mathrm{a}-1)}{\mathrm{a}}\left(\frac{{\mathrm{K}}_2}{1+{\mathrm{K}}_2}\right)$

- role="math" localid="1654838426285" $\sqrt{\mathrm{N}}$is proportional to resolution. $\mathrm{H}$and $\mathrm{N}$are inversely proportional (lower $\mathrm{H}$= larger $\mathrm{N}$).

The resolution is proportional to $\sqrt{\mathrm{N}}$(the larger the $\mathrm{N}$, the higher the resolution).

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- As a result, we can claim that the best flow rate in Figure 23-17 is $33\frac{\mathrm{mL}}{\min }$since the plate height is$\mathrm{H}=3$ mm, which is the lowest height in this situation.