Substances X and Y were found to have a retention time of 18.30 and 29.92 minutes respectively on a 20 cm long column. The widths (at the base) for A and B were 1.50 and 1.60 minutes respectively. The column resolution is ____. (Round off to two decimal places).Correct answer is between '7.00,8.00'. Can you explain this answer?

Question

Answer

Given Information:

Substance X has a retention time of 18.30 minutes, and substance Y has a retention time of 29.92 minutes on a 20 cm long column. The widths (at the base) for substances A and B are 1.50 and 1.60 minutes, respectively.

Column Resolution:

The column resolution is a measure of the ability of the column to separate two closely eluting peaks. It is determined by the efficiency of the column and the difference in retention times between the two peaks.

Calculating the Column Resolution:

The column resolution can be calculated using the formula:

Resolution = (Retention Time of Peak Y - Retention Time of Peak X) / (Average Peak Width)

To calculate the average peak width, we can use the formula:

Average Peak Width = (Width of Peak X + Width of Peak Y) / 2

Substituting the Given Values:

- Retention Time of Peak X = 18.30 minutes
- Retention Time of Peak Y = 29.92 minutes
- Width of Peak X = 1.50 minutes
- Width of Peak Y = 1.60 minutes

Calculating the Average Peak Width:

Average Peak Width = (1.50 + 1.60) / 2 = 1.55 minutes

Calculating the Column Resolution:

Resolution = (29.92 - 18.30) / 1.55

= 11.62 / 1.55

= 7.49 (rounded off to two decimal places)

Therefore, the column resolution is 7.49.

Conclusion:

The calculated column resolution is 7.49, which falls within the range of 7.00 to 8.00 as stated in the correct answer.

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