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Chapter 4 Chemical Reactions and Stoichiometry Representing Chemical Reactions Reactants on Left Products on Right Indicates a chemical reaction Balancing Chemical Reactions • 1st Balance elements that occur in only one compound on each side • Balance free elements last • (Balance unchanged polyatomics as groups) • Clear fractional coefficients by multiplication • Never introduce extraneous atoms • Never change chemical formulas Equations and the Mole Concept Na + Cl NaCl 1 atom Na 1 dozen Na 1 mol Na + + + 1 atom Cl 1 dozen Cl 1 mol Cl 1 NaCl 1 dozen NaCl 1 mol NaCl Reaction Types Combination Reaction A + B C Decomposition Reaction X Y + Z CO2 + H2O Combustion Reaction CxHyOz + O2 What mass of water is produced when 33.2 g ethanol is burned completely? You are a biologist studying the mating habits of the Asian Civet cat. You manage to isolate 62 mg of the Civet cat sex pheromone Combustion analysis of the pheromone produces: 138.0 mg CO2 and 49.4 mg H2O Combustion Analysis The Sex Pheromone For The Asian Civet Cat Limiting Reagents We are making bagel pizzas (pepperoni, of course). For each pizza, we need 1 bagel, 1 oz. tomato sauce, 2 slices of cheese and 5 slices of pepperoni: Limiting Reagents We are making bagel pizzas (pepperoni, of course). For each pizza, we need 1 bagel, 1 oz. tomato sauce, 2 slices of cheese and 5 slices of pepperoni: 1 bagel + 1 oz. tomato sauce + 2 cheese + 5 pepperoni 1 pizza Limiting Reagents We are making bagel pizzas (pepperoni, of course). For each pizza, we need 1 bagel, 1 oz. tomato sauce, 2 slices of cheese and 5 slices of pepperoni: 1 bagel + 1 oz. tomato sauce + 2 cheese + 5 pepperoni 1 pizza If we have 13 bagels, 20 oz. of tomato sauce, 26 slices of cheese and 60 slices of pepperoni, how many pizzas can we make? If we react 85.0 g of Zn metal with 35.2 g of HCl, what is the mass of H2 gas that is produced? Actual & Theoretical Yield Theoretical Yield: The maximum amount of product that can be produced (usually reported in mol or g) Actual Yield: Real (measured) amount of product that was produced/obtained (usually reported in mol or g) Percent Yield: The ratio of actual yield to theoretical yield (reported as a percent, ALWAYS 100% or less) Percent Yield = Actual Yield Theoretical Yield X 100% We reacted 12.8 g of Al metal with excess HBr and obtained 77.9 g of AlBr3. What is our percent yield? Al (s) + HBr (aq) H2 (g) + AlBr3 (s) Units of Concentration: Molarity Amount of solute (mol solute) Molarity (M) = Volume of solution (L) Solute - lesser component of a mixture Solvent - greater component of a mixture Aqueous - dissolved in water How many moles of HCl are in 1.00 L of muriatic acid (a.k.a. concentrated aqueous HCl: 37% HCl by mass, density = 1.200 g/mL)? How many grams of AgNO3 do we need to make 500 ml of a 1.0 M AgNO3 solution? What volume of a 3.0 M HCl solution is needed to react with 38.4 g of Zn metal? Compounds in Aqueous Solution When NaCl dissolves in water – what happens to the NaCl? It separates into ions Compounds in Aqueous Solution A Strong electrolyte dissociates completely. Soluble ionic compounds – Good electrical conduction. A Weak electrolyte partially dissociates. Weak (molecular) acids & bases – Fair conductor of electricity. A Non-electrolyte does not dissociate. Molecular/Covalent Compounds – Poor (non-) conductor of electricity. If we dissolve 8.0 g of potassium carbonate in water and the total solution volume is 100 mL, what is the concentration of potassium ions in solution? The concentration of carbonate? Is potassium carbonate a strong electrolyte? Precipitation Reactions A solid (the precipitate) forms when two solutions are mixed Ion Exchange (Metathesis) Why does a precipitate form when the following solutions are mixed? AgNO3 (aq) + NaI(aq) AgI(s) + NaNO3 (aq) What Ionic Compounds Are Soluble In Water? Alkali metal ion and ammonium ion salts Li+, Na+, K+, Rb+, Cs+, NH4+ Nitrates, perchlorates and acetates NO3- , ClO4- , CH3CO2- Chlorides, bromides and iodides Cl-, Br-, I- Except those of Pb+2, Ag+, and Hg2+2 Sulfates SO4–2 Except those of Sr+2, Ba+2, Pb+2 and Hg2+2 Ca(SO4) is slightly soluble. What Ionic Compounds Are Insoluble In Water? Hydroxides and sulfides HO–, S–2 Except alkali metal (group 1) and ammonium salts Sulfides of alkaline earth metals (group 2) are soluble Hydroxides of Sr2+ and Ca2+ are slightly soluble Carbonates and phosphates CO3–2, PO4–3 Except alkali metal and ammonium salts Write The Net Ionic Equation For: Ca(NO3)2 (aq) + Na3PO4 (aq) The reaction of lithium carbonate with magnesium sulfide? Net Ionic Equations Overall Equation: AgNO3 (aq) +NaI(aq) AgI(s) + NaNO3 (aq) A net ionic equation contains only the ions undergoing a change during the reaction Net Ionic Equations Net Ionic Equation: Ag+ (aq) + I– (aq) AgI (s) A net ionic equation contains only the ions undergoing a change during the reaction Acids and Bases • Acids provide H+ (protons) in aqueous solution (Arrhenius 1884) • Bases provide OH- in aqueous solution (Arrhenius 1884) • Bases react to accept or consume H+ (Bronstead 1923) HCl (aq) H+ (aq) + Cl– (aq) H2SO4 (aq) 2 H+ (aq) + SO4–2 (aq) NaOH (aq) Na+ (aq) + OH– (aq) NH3 + H2O NH4+(aq) + OH–(aq) Acids and Bases • Acids provide H+ (protons) in aqueous solution (Arrhenius 1884) • Bases provide OH- in aqueous solution (Arrhenius 1884) • Bases react to accept or consume H+ (Bronstead 1923) Is water an acid, a base, or neither? H2O ? Autoionization of Water and pH In pure water at 25 °C, the concentration of H+ ions is always 1X10-7 M H2O H+ (aq) + OH– (aq) pH = -log[H+] = -log(1X10-7) = 7 Acids and Bases Strong acids/bases – Acids and bases that dissociate/react completely in water to yield ions (including H+ or HO–) [Strong bases: hydroxides of group 1 & “heavy” group 2 metals (Ca, Sr, Ba)] Weak acids/bases - Acids and bases that only partially dissociate/react in water to yield ions (including H+ or HO–) Acids and Bases Strong acids/bases – Acids and bases that dissociate/react completely in water to yield ions (including H+ or HO–) [Strong bases: hydroxides of group 1 & “heavy” group 2 metals (Ca, Sr, Ba)] Weak acids/bases - Acids and bases that only partially dissociate/react in water to yield ions (including H+ or HO–) Strong acids/bases: HCl (aq) H+ (aq) + Cl– (aq) NaOH (aq) Na+ (aq) + OH– (aq) Weak acids/bases: acetic acid CH3 CO2H (aq) ammonia H+ (aq) + CH3 CO2– (aq) NH3 + H2O NH4+(aq) + OH–(aq) Acid/Base Neutralization The reaction of H+ with HO– yields water: H+ (aq) + OH– (aq) H2O Therefore: H+ and HO– cannot “co-exist” beyond the amount of water autoionization Acids and bases will react to consume each other Acids and Bases Monoprotic acids yield 1 H+ ion per formula unit: HCl, HClO4, HNO3 Diprotic acids yield 2 H+ ion per formula unit: H2SO4 Triprotic acids yield 3 H+ ion per formula unit: H3PO4 Acids and Bases Monoprotic acids yield 1 H+ ion per formula unit: HCl, HClO4, HNO3 Diprotic acids yield 2 H+ ion per formula unit: H2SO4 Triprotic acids yield 3 H+ ion per formula unit: H3PO4 200 mL of aqueous 0.1 M H2SO4 is allowed to react completely with 7.4 g of solid NaOH. What ions remain in solution at the end of the reaction? If we assume that the total volume remains constant at 200 mL, what are the concentrations of the remaining ions? Acids and Bases A student carefully adds 0.05 M potassium hydroxide to 50 mL of a hydrobromic acid solution with an unknown concentration. If it takes 17.8 mL of the potassium hydroxide solution to turn the indicator (phenolphthalein) slightly pink, what is the concentration of the hydrobromic acid solution? • The above process is known as a titration – the careful addition of one solution to another until one component has exactly consumed another (at the Equivalence Point) • An indicator is a substance that undergoes an observable (color) change near or at an equivalence point Acids and Bases A student carefully adds 0.05 M potassium hydroxide to 50 mL of a hydrobromic acid solution with an unknown concentration. If it takes 17.8 mL of the potassium hydroxide solution to turn the indicator (phenolphthalein) slightly pink, what is the concentration of the hydrobromic acid solution? Oxidation/Reduction Reactions (Redox) In an oxidation-reduction (redox) reaction, some atoms undergo changes in oxidation state: charges change due to the exchange of electrons Oxidation State Oxidation state is a term used by chemists to give a general idea of how electron rich/poor an atom is • Oxidation state describes the charge an atom would possess if all bonds in the compound were ionic • Oxidation states refer to real charges for ions • Oxidation states do not refer to real charges in covalent (molecular) compounds Determination of Oxidation States 1) All free elements = 0 2) The sum of all atomic oxidation states in a compound = the total charge on the compound 3) For monoatomic ions, the oxidation state = charge on the ion (Group 1 elements = +1, Group 2 elements = +2, etc.) 4) Fluorine = –1 5) Hydrogen = +1 6) Oxygen = –2 7) Halogens = –1, Group 16 = –2, Group 15 = –3 Determination of Oxidation States 1. H2S 2. S8 3. ClO4– 4. Na2S 5. O3 6. SO4–2 7. Fe2S3 8. ClO2 Redox Vocabulary During an Oxidation The oxidation state of a species increases (becomes more positive) Electrons are lost by the atom During a Reduction The oxidation state of a species decreases (becomes more negative) Electrons are gained by the atom Oxidation and reduction always occur together. Zn + HCl H2 + ZnCl2 Ag+(aq) + Cu(s) Ag(s) + Cu2+(aq) Redox Vocabulary An oxidizing agent (oxidant) oxidizes something it reacts with Contains an element whose oxidation state decreases (is reduced) during the redox reaction A reducing agent (reductant) reduces something it reacts with Contains an element whose oxidation state increases (is oxidized) during the redox reaction In which of the following reactions do atoms undergo oxidation state changes? CaCO3 + 2 HCl C2H6O + 3 O2 2 Al + 3 Cl2 2 HI + Ca(OH)2 CaCl2 + H2O + CO2 2 CO2 + 3 H2O 2 AlCl3 CaI2 + 2 H2O Identifying Oxidizing and Reducing Agents H2O2 + Fe+2(aq) H2O + Fe+3(aq) H2O2 + MnO4–(aq) Mn+2(aq) + O2 2 H2O2 (aq) 2 H2O (l) + O2 (g) Hydrogen peroxide, H2O2, is a versatile chemical. Its uses include bleaching wood pulp and fabrics and substituting for chlorine in water purification. One reason for its versatility is that it can be either an oxidizing or a reducing agent. Writing and Balancing Redox Reactions Cu(s) + Ag+(aq) Cu+2(aq) + Ag(s) Is this reaction balanced? Balancing Redox Reactions Na2SO3 (aq) + KMnO4 (aq) Na2SO4 (aq) + K+(aq) + Mn+2(aq) CN– (aq) + MnO4–(aq) MnO2 (s) + OCN– (aq) Balancing Redox Reactions: Half-Reactions • Write the equations for the half-reactions. – Balance all atoms except H and O (balance H and O also if they undergo redox) – Add e- based on oxidation state changes – Balance oxygen atoms using H2O – Balance hydrogen atoms using H+ • Equalize the number of electrons. • Add the half reactions. • If in base, add hydroxide to neutralize H+ and cancel water molecules that appear on both sides of the equation. • Check the balance. The Activity Series We can measure (electrochemically) how easily an element will accept electrons (reduce) or release electrons (oxidize). By putting these measurements in order of reduction potential, we generate an activity series