Chapter 1, Problem 1.12QAP

Interpretation Introduction

(a)

Interpretation:

Publication year and the authors of the latest edition of Compendium of Chemical Terminology available in IUPAC website should be located.

Interpretation Introduction

(b)

Interpretation:

Definition and symbology of biasstated in Compendium of Chemical Terminology available in IUPAC website should be located and compared with the definition and symbology in the book chapter.

Interpretation Introduction

(c)

Interpretation:

Definition and symbology of detection limit stated in Compendium of Chemical Terminology available in IUPAC website should be located and compared with the definition and symbology in the book chapter.

Interpretation Introduction

(d)

Interpretation:

Differences between calibration sensitivity and analytical sensitivity should be stated.

Interpretation Introduction

(d)

Interpretation:

Calibration sensitivity, analytical sensitivity of each concentration, coefficient of variation for mean signal values of each replicate set and the detection limit for the method should be determined.

Concept introduction:

Following formulae should be used to determine each required numerical quantity.

For calibration sensitivity ( $m$ ):

$\begin{array}{l}m=\frac{S_{xy}}{S_{xx}}\\ \text{where,}\\ S_{xy}={\displaystyle \sum x_i}{y}_i-\frac{{\displaystyle \sum x_i{\displaystyle \sum y_i}}}{N}\text{ and }{S}_{xx}={\displaystyle \sum x_i^2-\frac{({\displaystyle \sum x_i{)}^2}}{N}}\end{array}$

For analytical sensitivity ( $\gamma$ ):

$\begin{array}{l}\gamma =m/s_s\\ \text{Where, }{s}_s=\text{standard deviation of the measurement}\end{array}$

For coefficient variation (CV):

$\begin{array}{l}CV=\frac{s}{\overline{x}}\times 100\%\\ \text{Where, }s=\text{standard deviation, }\overline{x}=\text{sample mean}\end{array}$

For Detection limit ( $c_m$ ):

$\begin{array}{l}{c}_m=\frac{S_m-{\overline{S}}_{bl}}{m}\\ \text{Where, }{S}_m={\overline{S}}_{bl}+k{s}_{bl}\\ S_m=\text{minimum distinguishable analytical signal}\\ {\overline{S}}_{bl}=\text{mean blank signal}\\ k=\text{constant (}k=3\text{)}\\ s_{bl}=\text{standard deviation of the blank}\end{array}$