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Reactions In Aqueous Solution Molarity Most reactions that take place in the lab involve ions or molecules dissolved in water (aqueous solutions). The concentration of a solute in solution can be expressed in terms of its molarity: molarity (M) = moles of solute / liters of solution M = nsolute / Lsolution The symbol [ ] is commonly used to represent molarity of a species in solution. Solutions that contain relatively large amounts of solute per liter are referred to as concentrated, while those containing relatively small amounts are called dilute solutions. Example A bottle of dilute nitric acid contains 6.0 moles of HNO3 per liter of solution (M = 6.0 mols/L). How many moles of HNO3 are in 75 mL of this solution? What volume of dilute nitric acid must be taken to contain one mole of HNO3? Example Give the concentration, in moles per liter, of each ion in (a) 0.080 M K2SO4 (b) 0.40 M FeCl3 Precipitate Reactions When two different aqueous solutions of ionic compounds are mixed, an insoluble solid (precipitate) can separate out of solution. To predict the products of a precipitate reaction you must know which ionic substances are insoluble in water. Solubility Rules (GENERAL GUIDELINES) Solubility rules that apply to water solution: (1) All alkali metal and ammonium compounds are soluble. (2) All acetate, perchlorate, chlorate, and nitrate compounds are soluble. (3) Silver, lead, and mercury(I) compounds are insoluble. (4) Chlorides, bromides, and iodides are soluble. (5) Carbonates, hydroxides, oxides, phosphates, silicates, and sulfides are insoluble. (6) Sulfates are soluble except for calcium and barium. *These rules are to be applied in the order given. AgCl is insoluble because rule 3 takes precedence over rule 4. Example Predict what will happen when the following pairs of aqueous solutions are mixed. (a) Cu(NO3)2 and (NH4)2SO4 (b) FeCl3 and AgNO3 Equations that show all species as molecules (formula units) are called molecular equations. Na2CO3(aq) + CaCl2(aq) --- CaCO3(s)+ Na2CO3(aq) When all soluble species are shown as ions we have an ionic equation (total ionic equation). 2Na+(aq) + CO3-2 (aq) + Ca+2(aq) + 2 Cl- (aq) ---- 2Na+(aq) + 2 Cl-(aq) + CaCO3(s) If you cancel the spectator ions (ions present on both sides of the equation), which take no part in the reaction, you are left with the net ionic equation. Ca+2(aq) + CO3-2(aq) --- CaCO3(s) Net ionic equations must be balanced with respect to mass (the number of atoms) and charge. Example Write net-ionic equations for any precipitation reaction that occurs when solutions of the following ionic compounds are mixed. (a) NaOH and Cu(NO3)2 (b) BaCl2 and Ag2SO4 (c) (NH4)3PO4 and K2CO3 Example When aqueous solutions of sodium hydroxide and iron (III) nitrate are mixed a red precipitate forms. (a) Write a net ionic equation for the reaction. (b) Determine the mass of the precipitate formed when 30.0 mL of 0.125 M Fe(NO)3 reacts. (c) Determine the mass of the precipitate formed when 50.0 mL of 0.200 M NaOH and 30.00 mL of 0.125 M Fe(NO3)3 are mixed. Acid-Base Reactions An acid is a species that produces H+ ions in aqueous solution, has a sour taste, and turns blue litmus paper red. A base is a substance that produces OH- ions in aqueous solution, has a slippery feel, and turns red litmus paper blue. In this section we are using the Arrhenius definition. Strong acids ionize completely in water, forming H+ ions and anions. There are six common strong acids: HCl, HBr, HI, HNO3, HClO4, H2SO4. Example HCl(aq) --- H+(aq) + Cl-(aq) If 0.1 mole of HCl was added to water, there is 0.1 mole of H+ and Cl- ions and no HCl molecules. Weak acids only partially ionize to H+ ions in water. HB(aq) H+(aq) + B-(aq) HF(aq) H+(aq) + F-(aq) The double arrow indicates that the reaction does not go to completion. A mixture is formed containing significant amounts of reactants and products. A strong base is completely ionized to OH- ions and cations in a water solution. Strong bases are generally hydroxides of group IA and II A metals (LiOH, NaOH, KOH, Ca(OH)2, Sr(OH)2, Ba(OH)2). Example Na(OH) -- Na+(aq)+ OH-(aq) If 0.1 mole of NaOH is added to water, there is 0.1 mole of Na+ ions, 0.1 mole of OH- ions, and no NaOH molecules. Weak bases react with water molecules to acquire H+ ions and leave OH- ions behind. Example NH3(aq) + H2O(aq) NH4+(aq) + OH-(aq) The reaction does not go to completion. If 0.1 mole of ammonia is added to a liter of water, there is about 0.001 mole of NH4+, 0.001 mole of OH- , and 0.099 mole of NH3. Amines (R-NH2) are commonly weak bases. CH3NH2(aq) + H2O(l) CH3NH3+(aq) + OH-(aq) Strong acids and bases are good conductors of electrical current (ions in solution) and are strong electrolytes. Weak acids and bases are weak electrolytes. Equations for Acid-Base Reactions (a) A strong acid-strong base reaction is a neutralization reaction. H+(aq) + OH-(aq) --- H2O(l) (net-ionic equation) Example HNO3(aq) + NaOH(aq) ---- NaNO3(aq)+ H2O(l) acid + base -- salt + water (b) When a weak acid is added to a strong base a two step process occurs. (1) The weak acid is ionized. HB(aq) H+(aq) + B-(aq) (2) The neutralization of the H+ ions from step one by the OH- ions of the strong base. H+(aq) + OH-(aq) -- H2O(l) The equation for the overall reaction is determined by adding the two above reactions together. HB(aq)+ OH-(aq) --- B-(aq)+ H2O(l) (net ionic equation) Example NaOH is added to HF HF(aq) H+(aq) + F-(aq) H+(aq) + OH-(aq) -- H2O(l) HF(aq)+ OH-(aq) --- F-(aq) + H2O(l) (c) When a strong acid and a weak base are reacted two steps take place. Example HCl is added to a sample of aqueous ammonia, NH3 (1) NH3(aq) + H2O(l) --- NH4(aq) + OH-(aq) (2) H+(aq) + OH-(aq) -- H2O(l) H+(aq)+ NH3(aq)--- NH4+(aq) Example Write net-ionic equations for each of the following reactions in dilute water solution. (a) Hypochlorous acid (HClO) and calcium hydroxide (b) Ammonia with perchloric acid (HClO4) (c) Hydroiodic acid (HI) with sodium hydroxide Acid-base reactions in water solution are commonly used to determine the concentration of a dissolved species or its percentage in a solid mixture. This is done by carrying out a titration, measuring the volume of a standard solution (a solution of known concentration) required to react with a measured amount of sample. A titration is done to identify the point at which the reaction is complete called the equivalence point. Acid-base indicators are used to help identify the equivalence point. Example In a titration, it is found that 25.0 mL of 0.500M NaOH is required to react with (a) a 15.0 mL sample of HCl. What is the molarity of the HCl? (b) a 15.0 mL sample of a weak acid, H2A. What is the molarity of H2A, assuming the reaction to be H2A(aq)+ 2 OH-(aq)--- 2 H2O(l) + A-2(aq)? (c)an aspirin table weighing 2.50 g. What is the percentage of acetylsalicylic acid, HC9H7O4, in the aspirin tablet? The reaction is HC9H7O4(s) + OH-(aq) -- H2O(l)+ C9H7O4-(aq) Oxidation-Reduction Reactions A reaction in aqueous solution that involves the transfer of electrons between two species is called an oxidationreduction reaction or a redox reaction. In a redox reaction, one species loses (donates) electrons and is oxidized. Another substance gains (receives) electrons and is reduced. Example Oxidation: Zn(s) -- Zn+2(aq)+ 2eReduction: 2H+(aq) + 2e- -- H2(g) Oxidation and reduction occur together, in the same reaction. There are two half-reactions (an oxidation and reduction half) in every redox reaction. There is no change in the number of electrons in a redox reaction. Those given off by the oxidation half are taken by a species in the reduction half. The two species that exchange electrons in a redox reaction are called the oxidizing agent (accepts electrons) and reducing agent (donates electrons). Oxidation numbers are used to keep track of electrons in redox reactions. Rules (1) The oxidation number of an element in an elementary substance (free element) is zero. Ex: Cl2 and P4 = 0 (2) Monatomic ions have oxidation numbers equal to their charge. Ex: Na+1 and Cl-1 (3) O-2 except for peroxides (O2-1) where O-1 Ex: Na2O2 (O-1) and Na2O (O-2) (4) H+1 except for hydrides (H-1) Ex: HCl (H+) and NaH (H-) (5) The sum of the oxidation numbers for a neutral species is zero. For a polyatomic group, the sum of the oxidation numbers should equal the charge on the ion. Ex: SO4-2 (S+6, O-2) and CO2(C+4, O-2) Example What is the oxidation number of phosphorus in sodium phosphate, Na3PO4? In the dihydrogen phosphate ion, H2PO4-1? Oxidation is defined as an increase in oxidation number and reduction is defined as a decrease in oxidation number. Example Zn(s) + 2H+(aq) --- Zn+2(aq) + H2(g) Zn0 - Zn+2 (oxidized) H+1 - H0 (reduced) Balancing Half-Reactions (Equations) (1) Balance the atoms of the element being oxidized or reduced. (2) Balance the oxidation number by adding electrons. (3) Balance the charge by adding H+ ions in acidic solution and OH- ions in basic solution. (4) Balance H by adding water. (5) Check to make sure that the equation is balanced with respect to mass and charge. Example Balance the following half-equations: (a) MNO4-(aq) --- Mn+2(aq) (acidic solution) (b) Cr(OH)3(s) -- CrO42-(aq) (basic solution) To balance a full redox reaction: (1) Split the equation into two half-equations. (2) Balance the half-equations. (3) Combine the two half-equations to eliminate electrons. Example (a) Balance the following redox reaction in acidic solution. Fe+2(aq) + MnO4-(aq) -- Fe+3(aq) + Mn+2(aq) (b) Using the balanced equation what volume of 0.684 M KMnO4 solution is required to react completely with 27.50 mL of 0.250 M Fe(NO3)2? Example Balance the following redox reaction in basic solution. Cl2(g) + Cr(OH)3(s) ---- Cl-(aq) + CrO4-2(aq)