Chapter 23: Q44P (page 631)

A chromatogram with ideal Gaussian bands has $t_{r} = 9 \min$ and
$w_{1 / 2} = 2 \min$ .
(a) How many theoretical plates are present?
(b) Find the plate height if the column is 10cm long.

Short Answer

Expert verified

The solution is

$a) N = 112 b) H = 0.089 cm$

Step by step solution

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We have a chromatogram with perfect Gaussian bands of $t_{r} = 9 \min$ and $w_{1 / 2} = 2 \min$ in this task.

Because we have $w_{1 / 2}$ here, we used the half-width formula instead of Equation 23-30.

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a) Here we will find the number of theoretical plates present on a column:

$N = \frac{5.55 {tr}^{2}}{{(w_{1 / 2})}^{2}} N = \frac{5.55 \times {(9 \min)}^{2}}{{(2 \min)}^{2}} N = 112$

Because we have $W_{1 / 2}$ here, we used the half-width formula instead of Equation 23-30

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a)If the column is long, we will compute the plate height as follows:

$H = \frac{L}{N} H = \frac{10 cm}{112} = 0.089 cm$

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A chromatogram with ideal Gaussian bands has $t_{r} = 9 \min$ and
$w_{1 / 2} = 2 \min$ .
(a) How many theoretical plates are present?
(b) Find the plate height if the column is 10cm long.

Short Answer

Step by step solution

of 3

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A chromatogram with ideal Gaussian bands hastr=9minand w1/2=2min.(a) How many theoretical plates are present?(b) Find the plate height if the column is 10cm long.

Short Answer

Step by step solution

of 3

of 3

of 3

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Chemical Analysis

Ionic and Molecular Compounds

Chemistry Branches

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Making Measurements

Physical Chemistry

Study anywhere. Anytime. Across all devices.

A chromatogram with ideal Gaussian bands has $t_{r} = 9 \min$ and
$w_{1 / 2} = 2 \min$ .
(a) How many theoretical plates are present?
(b) Find the plate height if the column is 10cm long.