Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 32: Problem 1

Calculate the capacity factor, resolution and number of theoretical plates of two components from a chromatogram. Quinaldine and nicotine have retention times of \(5.9\) and \(6.2\) min, respectively on a \(30 \mathrm{~cm} \times 0.25 \mathrm{~mm}\) id \(\times 0.25 \mu \mathrm{m}\) film thickness DB5 column. If the peak width of quinaldine is \(0.16\) min and for nicotine is \(0.18 \mathrm{~min}\), calculate (a) Capacity factor for quinaldine and nicotine (b) Column resolution (c) Average number of theoretical plates in the column (column efficiency, \(N\) ) per compound. Note: the retention time of the unretained component is \(1.0 \mathrm{~min}\).

Short Answer

Expert verified
The capacity factors for quinaldine and nicotine are approximately 8.2 and 8.7 respectively. The column resolution is approximately 0.79. The number of theoretical plates for quinaldine and nicotine are approximately 1361 and 1190 respectively.

Step by step solution

01

Calculate Capacity Factor

The capacity factor \(k'\) is given by the formula \(k' =(t_R - t_M) / t_M\), where \(t_R\) is the retention time of the compound and \(t_M\) is the retention time of an unretained compound. Using the given data, calculate the capacity factor for both quinaldine and nicotine separately.
02

Calculate Column Resolution

Column resolution is calculated using the formula \(Rs = (t_{R2} - t_{R1}) / (w_1 + w_2) / 2\), where \(t_{R2}\) and \(t_{R1}\) are the retention times of two components and \(w_1\) and \(w_2\) are their peak widths. Use the given data to evaluate the column resolution.
03

Calculate the Number of Theoretical Plates

The number of theoretical plates \(N\) for a component is given by the formula \(N = 16 * (t_R / w)^2\), where \(t_R\) is the retention time of the component and \(w\) is its peak width. Evaluate \(N\) for quinaldine and nicotine separately.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Test your knowledge of detector terminology. Explain what the following acronyms stand for: (a) \(\mathrm{FID}\) (b) \(\mathrm{TCD}\) (c) \(\mathrm{ECD}\) (d) DAD.

Test your knowledge of chromatographic theory - define the following terms: (a) Dead time \(\left(t_{0}\right)\) (b) Retention time \(\left(t_{\mathrm{R}}\right)\) (c) Capacity factor (k) (d) Separation factor \((\alpha)\) (e) Column efficiency \((N)\).

Check your knowledge of liquid chromatography detectors. Make a list of the various major types of liquid chromatography detector in order, from highest to lowest sensitivity. Which of these methods is most versatile and why?

Calculate the resolution and efficiency of two compounds. Compounds \(X\) andY have retention times of \(18.40\) and \(20.63\) min, respectively, on a 30 \(\mathrm{cm}\) column. If the peak widths at the peak bases are \(1.11\) and \(1.21\) min, respectively, calculate: (a) The resolution factor for the two peaks. (b) The efficiency of each peak.
See all solutions

Recommended explanations on Chemistry Textbooks

Inorganic Chemistry

Read Explanation

Making Measurements

Read Explanation

Ionic and Molecular Compounds

Read Explanation

Chemical Analysis

Read Explanation

Chemical Reactions

Read Explanation

The Earths Atmosphere

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free