Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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**Chromatography Analysis: Understanding Retention Factor, Mobile Phase Fraction, and Distribution Constant**

In this exercise, you will learn to calculate key parameters used in chromatography analysis: the retention factor, time fraction in the mobile phase, and distribution constant. These are essential for understanding the interactions within a chromatography column.

### Problem Statement
A solvent passes through a chromatography column in 3.87 minutes, but the solute requires 7.60 minutes.

#### 1. What is the retention factor, \( k \)?

\[ 
k = \text{(retention time of solute)} - \text{(retention time of solvent)}
\]

Enter your calculated value for \( k \) here: \_\_\_\_\_\_\_\_\_\_

#### 2. What fraction of the time does the solute spend in the mobile phase in the column?

\[ 
t_{\text{fraction in mobile phase}} = \frac{\text{retention time of solvent}}{\text{retention time of solute}}
\]

Enter the time fraction here: \_\_\_\_\_\_\_\_\_\_

#### 3. The volume of the stationary phase is 0.133 times the volume of the mobile phase in the column (\( V_S = 0.133V_M \)). What is the distribution constant, \( K_D \), for this system?

\[ 
K_D = \frac{k}{V_S/V_M}
\]

Enter the distribution constant here: \_\_\_\_\_\_\_\_\_\_

By determining these values, you will gain valuable insight into the dynamics and efficiency of separation within the chromatography system.
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Transcribed Image Text:**Chromatography Analysis: Understanding Retention Factor, Mobile Phase Fraction, and Distribution Constant** In this exercise, you will learn to calculate key parameters used in chromatography analysis: the retention factor, time fraction in the mobile phase, and distribution constant. These are essential for understanding the interactions within a chromatography column. ### Problem Statement A solvent passes through a chromatography column in 3.87 minutes, but the solute requires 7.60 minutes. #### 1. What is the retention factor, \( k \)? \[ k = \text{(retention time of solute)} - \text{(retention time of solvent)} \] Enter your calculated value for \( k \) here: \_\_\_\_\_\_\_\_\_\_ #### 2. What fraction of the time does the solute spend in the mobile phase in the column? \[ t_{\text{fraction in mobile phase}} = \frac{\text{retention time of solvent}}{\text{retention time of solute}} \] Enter the time fraction here: \_\_\_\_\_\_\_\_\_\_ #### 3. The volume of the stationary phase is 0.133 times the volume of the mobile phase in the column (\( V_S = 0.133V_M \)). What is the distribution constant, \( K_D \), for this system? \[ K_D = \frac{k}{V_S/V_M} \] Enter the distribution constant here: \_\_\_\_\_\_\_\_\_\_ By determining these values, you will gain valuable insight into the dynamics and efficiency of separation within the chromatography system.
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