LESSON 1: INTRODUCTION TO ANALYTICAL CHEMISTRY Analytical chemistry - The Science of Chemical Measurements. is a measurement science consisting of a set of powerful ideas and methods that are useful in all fields of science, engineering, and medicine 3. 4. 5. Types of Questions Asked in Analytical Chemistry A. What is in the sample? (qualitative analysis) - Qualitative analysis establishes the chemical identity of the species in the sample. B. How much is in the sample? (quantitative analysis) - Quantitative analysis determines the relative amounts of these species, or analytes, in numerical terms 6. 7. Techniques used in Analytical Chemistry: A. Wet Chemical Methods: titrations, colorforming reactions, precipitations, etc. B. Instrumental Methods: spectrometry, chromatography, etc. Role of Analytical Chemistry exhaust gases are measured to determine the effectiveness of emission-control devices. Quantitative measurements of ionized calcium in blood serum help diagnose parathyroid disease in humans. Quantitative determination of nitrogen in foods establishes their protein content and thus their nutritional value. Analysis of steel during its production permits adjustment in the concentrations of such elements as carbon, nickel, and chromium to achieve a desired strength, hardness, corrosion resistance, and ductility. The mercaptan content of household gas supplies is monitored continually to ensure that the gas has a sufficiently obnoxious odor to warn of dangerous leaks. Farmers tailor fertilization and irrigation schedules to meet changing plant needs during the growing season, gauging these needs from quantitative analyses of plants and soil. Quantitative Analytical Methods • • • • gravimetric methods volumetric method electroanalytical methods spectroscopic methods Flow diagram showing the steps in a quantitative analysis Application of Analytical Chemistry 1. 2. The concentrations of oxygen and of carbon dioxide are determined in millions of blood samples every day and used to diagnose and treat illnesses. Quantities of hydrocarbons, nitrogen oxides, and carbon monoxide present in automobile The Analytical Process 1. 2. a. • • b. c. 3. Formulating the Question: Translate General Question into Specific Question Choosing a Method level of accuracy required high reliability nearly always requires a large investment of time. The selected method usually represents a compromise between the accuracy required and the time and money available for the analysis. the number of samples that will be analyzed the complexity of the sample and the number of components in the sample always influence the choice of method to some degree. Sampling: a.) Select representative material to analyze (i) don’t use the entire sample (ii) consistency in sample collection 6. - 7. - Calibration is the process of determining the proportionality between analyte concentration and a measured quantity. Calculating Results data collected in the measurement step, the characteristics of the measurement instruments, and the stoichiometry of the analytical reaction Evaluating Results by Estimating Reliability analytical results are complete only when their reliability has been estimated LESSON 2: CALCULATIONS ANALYTICAL CHEMISTRY USED IN Units & SI System • • Units convey information and serve as guide to solving problems Fundamental Units Derived Units Acquiring the Sample • • • • When the bulk is large and heterogeneous, great effort is required to get a representative sample An assay is the process of determining how much of a given sample is the material by its indicated name. For example, a zinc alloy is assayed for its zinc content, and its assay is a particular numerical value. Sampling is the process of collecting a small mass of a material whose composition accurately represents the bulk of the material being sampled. Sampling is frequently the most difficult step in an analysis and the source of greatest error Processing the Sample • • • 4. - 5. Preparing a Laboratory Sample Defining Replicate Samples Preparing Solutions: Physical and Chemical Changes Eliminating Interferences An interference or interferent is a species that causes an error in an analysis by enhancing or attenuating (making smaller) the quantity being measured Calibrating and Measuring Concentration • • Measurements based on SI system, which is metric system Metric Prefixes Performing Unit Conversions Solutions: Expressing Concentration • • Equilibrium concentrations expressed as molarity Analytical concentrations use formal concentration Analytical molarity is the total number of moles of a solute, regardless of its chemical state, in 1 L of solution. The analytical molarity describes how a solution of a given molarity can be prepared. Equilibrium molarity is the molar concentration of a particular species in a solution. Ex. 1.0 M H2SO4 Moles & Millimoles • • - Mass versus Weight Moles are the SI unit for amount of a substance. One mole of anything contains Avogadro’s number of particles (chemical formula) The mass of the Moon is only 1/81 that of Earth and the acceleration due to gravity is only 1/6 that on Earth. The weight of the object on the Moon is only 1/6 of their weight on Earth. Molar Mass is mass in grams of one mole of a substance. Calculate molar mass by summing atomic masses of all elements in formula. Often more convenient to use unit millimole (Note: 1 mmole is equivalent to 10-3 mole) Expression of concentration 1. - Molarity : M = (moles of solute) / (liter of solution) = (mmoles) / (mL) A mole is defined as the number of atoms of 12C in exactly 12 g of 12C (12 amu or daltons). Avogadro’s number = 6.0221438×1023. A mole of a chemical species is 6.0221438×1023 atoms, molecules, ions, electrons, ion pairs, or subatomic particles. [H2SO4] = 0.00 M [H+] = 1.01 M [HSO4–] = 0.99 M [SO4–2 ] = 0.01 M Analytical molarity of H2SO4 is given by c H2SO4 = [HSO4–] + [SO4–2 ] • o o o o o • Percent Concentration Mass (Weight)% Volume % Weight/volume % Parts per Million (ppm) Parts per Billion (ppb) Percent composition % = Weight % = w/w % = {(mass of solute) / (mass of solution)} × 100 % Volume % = v/v % = {(volume of solute) / (volume of solution)} × 100 % Weight / volume percent = w/v % = {(weight of solute, g) / (volume of solution)} × 100 % • Parts per million ppm = (g / 106 g) ×106 ppm = (mg/kg) ×106 ppm = (μg/g) ×106 ppm ppm (wt/v) = (mg/L) ×106 ppm = (μg/mL) ×106 ppm • Parts per billion ppb = (g / 109 g) ×109 ppb = (μg/L) ×109 ppb • Parts per thousand ppt = (g / 1000 g) ×103 ppt - p-Functions The p-value is the negative logarithm (to the base 10) of the molar concentration of that species. pX = – log [X] • - density and specific gravity Density = mass / volume M1 V1 = M2 V2 • - Stoichiometry - Quantitative relationship among reactants & products in a balanced chemical reaction. Review Empirical vs. Molecular Formulas Review Structural Formulas LESSON 3: AQUEOUS SOLUTIONS AND CHEMICAL EQUILIBRIA Acids and Bases • • Conjugate Acids and Bases Zwitterion • Amphiprotic solvent AUTOPROTOLYSIS - Undergo self-ionization STRENGTH OF ACIDS AND BASES • • Strong acids Weak acids CHEMICAL EQUILIBRIUM • • Equilibrium-constant expressions Le Chatelier’s Principle - - LESSON 5: EFFECT OF ELECTROLYTES ON CHEMICAL EQUILIBRIA Activity & Ionic Strength - - Equilibrium constants for chemical reactions should be written in terms of their activities of participating species. Activity is related to concentration by activity coefficient. Effect of added electrolyte is independent of the chemical nature of electrolyte but depends on ionic strength of solution. Ionic Strength (u) = 0.5 ([A]ZA2 + [B]ZB2 + [C]ZC2 …) If one has a strong electrolyte consisting of monovalent charged ions, the ionic strength is identical to the total molar salt concentration. Ionic strength > molar-concentration if solution contains ions with multiple charges. (see Table 10.1) Activity Coefficients - Activity is related to concentration by activity coefficient. aX = [X] γX Activity of a species is a measure of its effective concentration as determined by colligative properties, electrical conductivity, and by mass action effect. Review Properties of Activity Coefficients (pp. 272-273) Debye-Huckel Equation permits calculation of activity coefficients of ions from their charge and average size. -log γA = 0.512 Z2X (u)1/2 / (1+ 3.3 αX (u)1/2 Ordinarily we neglect activity coefficients and simply use molar concentrations in applications. Works most of the time.