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

The Earths Atmosphere

Physical Chemistry

Kinetics

Making Measurements

Chemistry Branches

Nuclear 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.