Chapter 23, Problem 23.50P

(a)

Interpretation Introduction

Interpretation:

The number of theoretical plates $\left(\text{N}\right)$ needed to produce resolution of 2.0 has to be calculated.

Concept introduction:

Purnell equation:

The relationship between $\text{H}\text{and}\text{α}$ is given by Purnell equation,

$\begin{array}{l}\text{Resolution}\text{=}\frac{\sqrt{\text{N}}}{\text{4}}\frac{\left(\text{α}\text{-}\text{1}\right)}{\text{α}}\left(\frac{{\text{k}}_{\text{2}}}{\text{1}\text{+}\text{}{\text{k}}_{\text{2}}}\right)\\ \text{Where,}\\ \text{N}\text{-}\text{number}\text{of}\text{theoretical}\text{plates}\\ \text{α}\text{-}\text{relative}\text{retention}\text{of}\text{the}\text{two}\text{peaks}\\ {\text{k}}_{\text{2}}\text{-}\text{retention}\text{factor}\text{of}\text{the}\text{more}\text{retained}\text{component}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The number of theoretical plates $\left(\text{N}\right)$ needed to produce resolution of 2.0 has to be calculated.

Concept introduction:

Purnell equation:

The relationship between $\text{H}\text{and}\text{α}$ is given by Purnell equation,

$\begin{array}{l}\text{Resolution}\text{=}\frac{\sqrt{\text{N}}}{\text{4}}\frac{\left(\text{α}\text{-}\text{1}\right)}{\text{α}}\left(\frac{{\text{k}}_{\text{2}}}{\text{1}\text{+}\text{}{\text{k}}_{\text{2}}}\right)\\ \text{Where,}\\ \text{N}\text{-}\text{number}\text{of}\text{theoretical}\text{plates}\\ \text{α}\text{-}\text{relative}\text{retention}\text{of}\text{the}\text{two}\text{peaks}\\ {\text{k}}_{\text{2}}\text{-}\text{retention}\text{factor}\text{of}\text{the}\text{more}\text{retained}\text{component}\end{array}$

(c)

Interpretation Introduction

Interpretation:

The number of theoretical plates $\left(\text{N}\right)$ needed to produce resolution of 2.0 has to be calculated.

Concept introduction:

Purnell equation:

The relationship between $\text{H}\text{and}\text{α}$ is given by Purnell equation,

$\begin{array}{l}\text{Resolution}\text{=}\frac{\sqrt{\text{N}}}{\text{4}}\frac{\left(\text{α}\text{-}\text{1}\right)}{\text{α}}\left(\frac{{\text{k}}_{\text{2}}}{\text{1}\text{+}\text{}{\text{k}}_{\text{2}}}\right)\\ \text{Where,}\\ \text{N}\text{-}\text{number}\text{of}\text{theoretical}\text{plates}\\ \text{α}\text{-}\text{relative}\text{retention}\text{of}\text{the}\text{two}\text{peaks}\\ {\text{k}}_{\text{2}}\text{-}\text{retention}\text{factor}\text{of}\text{the}\text{more}\text{retained}\text{component}\end{array}$

(d)

Interpretation Introduction

Interpretation:

In chromatography method, procedures for increasing the values of $\text{N,}\text{α}\text{and}{\text{k}}_{\text{2}}$ has to be given.

Concept introduction:

Purnell equation:

The relationship between $\text{H}\text{and}\text{α}$ is given by Purnell equation,

$\begin{array}{l}\text{Resolution}\text{=}\frac{\sqrt{\text{N}}}{\text{4}}\frac{\left(\text{α}\text{-}\text{1}\right)}{\text{α}}\left(\frac{{\text{k}}_{\text{2}}}{\text{1}\text{+}\text{}{\text{k}}_{\text{2}}}\right)\\ \text{Where,}\\ \text{N}\text{-}\text{number}\text{of}\text{theoretical}\text{plates}\\ \text{α}\text{-}\text{relative}\text{retention}\text{of}\text{the}\text{two}\text{peaks}\\ {\text{k}}_{\text{2}}\text{-}\text{retention}\text{factor}\text{of}\text{the}\text{more}\text{retained}\text{component}\end{array}$