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ANALYTICAL CHEMISTRY INTRODUCTION AND REVIEW What is analytical chemistry? The science of inventing and applying the concepts, principles and strategies for measuring the characteristics of chemical systems and species often described as the area of chemistry responsible for characterizing the composition of matter Qualitative analysis An analysis in which we determine the identity of the constituent species in a sample Quantitative analysis An analysis in which we determine how much of a constituent species is present in a sample. The analytical problems characterization analysis An analysis in which we evaluate a sample’s chemical or physical properties Example, determinations of -chemical structure, -equilibrium constants, -particle size, -and surface structure fundamental analysis Example: An analysis whose purpose is to improve an analytical method’s capabilities -Extending and improving the theory -studying a method’s limitations, -designing new and modifying old methods The analytical process 1. Identify and define the problem 2. Design the experimental procedure 3. Conduct an experiment, and gather data 4. Analyze the experimental data 5. Propose a solution to the problem The analytical process Classification of quantitative method of analysis Volumetric method Volume is ThemeGallery is a Design Digital Content & Contents measured or mall developed by Guild used to Design Inc. determine amount of sample via concentration Gravimetric method Mass is measured Instrumental method Use an instrumental technique to assay the amount of sample Fundamental SI Units Measurement Unit Symbol kilogram kg volume liter L distance meter m temperature kelvin K time second s current ampere A mole mol mass amount of substance SI Units and non SI Unit Fundamental SI Units Exponential Prefix Symbol 1012 tera- T 109 giga- G 1 mL = 1x10-3 L 106 mega- M 1 L = 1x103 mL 103 kilo- k 10-1 deci- d 1 mL = 1x10-6 L 10-2 centi- c 1 L = 1x106 mL 10-3 milli- m 10-6 micro- μ 10-9 nano- n 10-12 pico- p 10-15 femto- f 10-18 atto- a 1 attoliter = 1x10-18 L 1 L = 1x1018 attoliter Review of stoichiometry A. Empirical vs molecular or structural formulas: 1. Empirical formulas give information only about the simplest ratio between the different elements composing the molecule. Example: HO, H2CO 2. Molecular formulas give information about the numbers of atoms of each element found in the molecule. Example: H2O2, H4C2O2, C2H5OH, C2H4O2, C3H6O3, C6H12O6 3. Structural formulas give information about the structure of the molecule as well as the numbers of atoms of each element Example: HOOH, (CH3)3COH, CH3CH2OCH2CH3 Solution Preparation of solution Solute: a minor species in a solution Solute Solvent: a major species in a solution Solvent Total solution Example: glucose solution Glucose is a solute Water is a solvent Molar Concentration Concentration a general measurement unit stating the amount of solute present in a known amount of solution Molarity: The number of moles of solute per 1 liter of solution (M) number of moles of solute (mole) mol Cx M volume of solution (L) L weight of solute (g) number of moles of solute (mole) MW of solute (g/mol) Molality and density Molality number of moles of solute (mole) C weight weight of solvent (kg) Molality: expresses the mol of substance/solute per unit mass of solvent Weight = Volume x density Percent Concentration mass of solute 1. Weight percent (w/w) 100% mass of solution volume of solute 2. Volume percent (v/v) 100% volume of solution 3. Weight/vo lume percent (w/v) mass of solute (g) 100% volume of solution (mL) Part per hundred (pph), thousand (ppt), million (ppm) and billion (ppb) mass of solute 2 C pph (w/w) 10 pph mass of solution mass of solute 3 C ppt (w/w) 10 ppt mass of solution mass of solute 6 C ppm (w/w) 10 ppm mass of solution mass of solute C ppb (w/w) 109 ppb mass of solution Units for Reporting Concentration Name molarity normality molality weight % volume % weight-to-volume % parts per million parts per billion EW=equilibrium weight Units moles solute liters solution number EWs solute liters solution moles solute kg solvent g solute 100 g solution mL solute 100 mL solution g solute 100 mL solution g solute 106 g solution g solute 109 g solution Symbol M N m % w/w % v/v % w/v ppm ppb Example 1 117.0 g of NaCl in 1.00 L of water has concentration of _____ mol/L MW of NaCl = 58.5 g/mol WNaCl 117.0 mole of NaCl 2.00 mole MWNaCl 58.5 C NaCl mole NaCl 2.00 moles 2.00 mole/L 2.00M V (L) 1.00 L Example 2 294.0 g of H2SO4 in 1.00 L of water has concentration of _____ mol/L MW of H2SO4 = 98.0 g/mol mole of H 2SO 4 C H 2SO 4 WH 2SO 4 MWH 2SO 4 mole H 2SO 4 V (L) 294.0 g 3.00 moles 98.0 g/mol 3.00 moles 3.00 mole/L 3.00M 1.00 L Example 3 What is the w/w % of aqueous ammonia (NH3) solution at 14.3 M with density = 0.9 g/mL (900 g/L)? Solute: NH3 1) MW of NH3 = 17.0 g/mol 2) Mole of NH3 at 14.3 M in 1.00 L = 14.3 mol/L x 1.00 L = 14.3 mol 3) Weight of NH3 at 14.3 M in 1.00 L = mole of NH3 x MW of NH3 = 14.3 mol x 17.0 g/mol = 243 g 4) Weight of 1.00 L solution = volume x density = 1.00 L x 900 g/L = 900 g mass of solute 243 Weight percent (w/w) 100% 100% mass of solution 900 =27.0% Example 4 What is the molar concentration of aqueous ammonia (NH3) solution with density = 0.9 g/mL (900 g/L) and 27.0% (w/w)? Solute: NH3 MW of NH3 = 17.0 g/mol Weight of NH3 =mole of NH3 x MW of NH3 = C NH3 x V NH3 x MW of NH3 Weight of 1.00 L solution = volume x density = 1.00 L x 900 g/L = 900 g WNH3 mass of solute Weight percent (w/w) 100% 100% 27% mass of solution 900 W NH3 = C NH3 x V NH3 x MW of NH3 = 243 g C NH3 = 14.3 mol/L = 14.3 M Example 5 What is the v/v % of ethanol in a solution prepared by mixing 5.00 mL of ethanol with enough water to give 1.00 L of solution? Solute: ethanol 1) Volume of solute (ethanol) = 5.00 mL = 5.00 x 10-3 L 2) Volume of solution = 1.00 L 3) Volume percent (v/v) = volume of solute 5 103 L 100% 100% 0.5% volume of solution 1.00 L Stoichiometric Calculation 1. 2. Stoichiometric calculation are based on the combining ratios of reactants which result in specific products. They are expressed in terms of moles 3. When you are given the mass of reactant or product, you should first convert the mass to moles to determine the amount of reactant that will be consumed or product that will be produced for a given reaction 4. If the final answer is to be given in a mass unit, then the moles must be converted to grams Volumetric Calculations Dilution: the number of moles are the same in dilute and concentrated solution moles = Cconcentrated Vconcentrated= Cdilute Vdilute Units: V=either in L and mL C=M(mol/L) or mM (mmol/L) Be sure to match units for both dilute and concentrated solutions Stoichiometric Calculation (1) What mass of AgNO3 (MW = 169.9 g/mol) is needed to convert 2.33 g of Na2CO3 (MW = 106.0 g/mol) to Ag2CO3 ? Na 2CO3 (aq) 2 AgNO 3 (aq) Ag 2CO3 (s) 2 NaNO3 (aq) 1 mol 2 mol 2.33 g 106.0 g/mol WAgNO3 169.9 g/mol 2.33 g 1 106.0 g/mol WAgNO3 2 169.9 g/mol WAgNO3 2.33 g 2 169.9 g/mol 106.0 g/mol WAgNO3 7.47 g Stoichiometric Calculation (2) What mass of Ag2CO3 (MW = 275.7 g/mol) will be formed ? Na 2CO3 (aq) 2 AgNO 3 (aq) Ag 2CO3 (s) 2 NaNO3 (aq) 1 mol 2.33 g 106.0 g/mol 2.33 g 1 106.0 g/mol WAg2CO 3 1 275.7 g/mol 1 mol WAg2CO 3 275.7 g/mol WAg2CO 3 2.33 g 275.7 g/mol 106.0 g/mol WAg2CO 3 6.06 g Stoichiometric Calculation (3) To prepare a solution with 0.500 M of Cl- from BaCl2.2H2O. How much of BaCl2.2H2O must be used to prepare 1.00 liter of solution? Assume BaCl2 completely dissociates: BaCl 2 Ba 2 2 Cl- 1 mol x mol 2 mol 0.5 mol/L x 1.00 L 1 mole BaCl 2 mole BaCl 2 mole BaCl 2 2 mole Cl CCl - VCl 0.5 1.00 x mol = mole of BaCl2 (mol) = 0.5/2 = 0.25 mol MW of BaCl2.2H2O = 244.2 g/mol W of BaCl2.2H2O = mole of BaCl2 (mol) x MW of BaCl2.2H2O = 0.25 mol x 244.2 g/mol=61.1 g Stoichiometric Calculation (4) How many L of a 50 mol/L solution are required to make 200 mL of a 1 mol L-1 solution? moles = Cconcentrated Vconcentrated= Cdilute Vdilute 50 mol/L Vconc. 1 mol/L 0.200 L 1 M 0.2 L Vconc. (L) 0.004 L 50 M