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Training Manual - Laboratory Mathematics (181 Pages)

Lesson 1 - General Mathematics Review

Section I. Properties of Real Numbers

Section II. Properties of Equality

Section III. Rounding Off Numbers

Section IV. Scientific Notation

Section V. Significant Figures

Section VI. Logarithms

Section VII. Solutions to Exercises

Lesson 2 - Introduction to Solution Mathematics

Section I. Grades of Laboratory Chemicals

Section II. Grades of Laboratory Water

Section III. Parts of a Solution

Section IV. Types of Solutions

Section V. Percent Concentration

Lesson 3 - Molar Solutions

Section I. Mole Concept

Section II. Molarity and Molar Solutions

Section III. Millimoles Per Liter

Section IV. Variations of Molarity Problems

Lesson 4 - Equivalent Solutions

Section I. Equivalent Weight

Section II. Normal Solutions

Section III. Milliequivalent per Liter (mEq/L) Solutions

Section IV. Variations of Normality Problems

Lesson 5 - Conversion of Concentration Units

Conversion from mol/L to g/dL and from g/dL to mol/L

Conversion from Eq/L to g/dL and from g/dL to Eq/L

Converting from mol/L to Eq/L and from Eq/L to mol/L

Exercises

Solutions

Lesson 6 - Dilutions

Simple

Serial Dilutions

Preparation of a Working Solution from a Stock Solution

Preparation of Standards by Mixing

Exercises

Solutions

Lesson 7 - Titration

Indicators and General Rules of Use

Performing an Acid-base Titration

Solving Titration Problems

Calculating the Reacting Strength of a Solution

Exercises

Solutions

Lesson 8 - Concentrated Acids and Bases

Example

Specific Gravity and Density

Preparing Solutions from Concentrated Liquids

Problem Solving

Determining the Concentration of Concentrated Liquids

Exercises

Solutions

Lesson 9 - pH and Buffers

Section I. Introduction

Section II. Dynamic Equilibrium

Section III. Dissociation of Water

Section IV. pH and pOH

Section V. Hydrolysis of Salts

Section VI. Buffers

Appendix A - Review of Dimensional Analysis

Appendix B - Table of Four-Place Logarithms

Appendix C - Table of Common Elements and Radicals

Appendix D - Metric Prefixes

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