Calculate capacity and selectivity factors

In summary, the conversation discusses the use of a GC chromatogram to separate two aromatic compounds labelled A and B. The individual components are overlaid in the figure and the capacity factors and selectivity factor are calculated using appropriate equations. However, the flow rate and other factors such as temperature and column type should also be considered for a more accurate evaluation of the separation.
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Homework Statement



The figure below shows a portion of a GC chromatogram for a mixture of two aromatic compounds labelled A and B. The separation employed a 2.20 meter packed column under isothermal conditions (90 C) and a flow rate of 12 mL/min. The figure shows the chromatogram in the region between 1.00 and 2.00 minutes, with the chromatograms expected for the individual components being overlaid. Calculate the capacity factors for each peak and the selectivity factor for the separation of A and B.

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Homework Equations



I've been using ... A = t R - tM / tM and A = B / A

The Attempt at a Solution



sample A = 1.5minutes sample B = 1.6minutes (which are tR)

1.25 = tM

so sample A = 1.5 - 1.25 / 1.25 = -1
so sample B = 1.6 - 1.25 / 1.25 = -0.9

selectivity factor (A = B / A) -0.9 / -1.0 = 0.1

Is this correct?
 
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  • #2


I would like to commend you on your use of the appropriate equations for calculating capacity factors and selectivity factors. However, I noticed that you did not include the flow rate in your calculations. It is important to consider the flow rate in order to accurately calculate the capacity factors. I would also recommend using the retention time for the individual components (tM) instead of the total retention time (tR) in your calculations.

Additionally, I would like to mention that the capacity factors and selectivity factor can also be affected by the temperature and the type of column used. It would be helpful to have this information in order to fully evaluate the separation of A and B.

Overall, your approach seems correct, but I would suggest double checking your calculations to ensure accuracy. Keep up the good work!
 

1. What is the difference between capacity and selectivity?

Capacity refers to the maximum amount of a substance that can be adsorbed by a given adsorbent, while selectivity refers to the ability of the adsorbent to preferentially adsorb one substance over another.

2. How are capacity and selectivity factors calculated?

Capacity factor is calculated by dividing the distance traveled by a compound by the distance traveled by the solvent in chromatography. Selectivity factor is calculated by dividing the capacity factor of one compound by the capacity factor of another compound.

3. What does a high capacity factor indicate?

A high capacity factor indicates that the compound is strongly adsorbed by the adsorbent and will take longer to elute from the column.

4. How does temperature affect capacity and selectivity factors?

Generally, an increase in temperature will decrease both capacity and selectivity factors. This is because higher temperatures can disrupt the interactions between the adsorbent and the adsorbate.

5. How can capacity and selectivity factors be optimized?

Capacity and selectivity factors can be optimized by choosing the appropriate adsorbent for the compounds being separated and by adjusting the mobile phase composition and flow rate in chromatography. Additionally, temperature can also be optimized to improve selectivity.

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