Chemistry 100(02) Fall 2010 Instructor: Dr. Upali Siriwardane e-mail: upali@chem.latech.edu Office: CTH 311 Phone 257-4941 Office Hours: M,W, 8:00-9:00 & 11:00-12:00 a.m Tu,Th,F 9:00 10:00 a.m. Test Dates: March 25, April 26, and May 18; Comprehensive Fina Exam: 9:30-10:45 am, CTH 328. October 4, October 27, November 17, November 18, 2010 (Test 1): Chapter 1 & 2 2010 (Test 2): Chapter 3 & 4 2010 (Test 3): (Chapter 5 & 6) 2010 (Make-up test) comprehensive: Chapters 1-6 9:30-10:45:15 AM, CTH 328 CHEM 100, Fall 2010, LA TECH 5-1 Chapter 5. Chemical Reactions 5.1 Exchange Reactions: Precipitation and Net Ionic Equations Page164 5.2 Acids, Bases, and Acid-Base Exchange Reactions Page171 5.3 Oxidation-Reduction Reactions Page179 5.4 Oxidation Numbers and Redox Reactions Page184 5.5 Displacement Reactions, Redox, and the Activity Series Page187 5.6 Solution Concentration Page191 5.7 Molarity and Reactions in Aqueous Solutions Page198 5.8 Aqueous Solution Titrations Page201 CHEMISTRY IN THE NEWS: The Breathalyzer Page189 CHEMISTRY YOU CAN DO: Pennies, Redox, and the Activity Series of Metals Page192 5-2 CHEM 100, Fall 2010, LA TECH Chapter 5. KEY CONCEPTS Chemical Reactions Solution Chemistry Solubilities of chemical compounds Types of chemical equations Write molecular equation Write complete ionic equation Write a net ionic equation Common types of chemical reactions Precipitation Acid/base Neutralization reactions Common acids and bases CHEM 100, Fall 2010, LA TECH Gas-forming Oxidation-reduction reactions Redox reactions Oxidizing and reducing agents Assigning oxidation numbers Activity series Single displacement Redox reactions Molarity Preparing solutions Dilutions Titrations Solution stoichiometry 5-3 Solution Chemistry Collisions of reactants decides the rates of reactions Why Solution Reactions? Why not gaseous Reactions? In Gases: Very fast Reactions Why not solid Reactions? Solids: Very slow Reactions Solution reactions are manageble! Liquids: Fast Reactions CHEM 100, Fall 2010, LA TECH 5-4 What is a Solution? A solution: A homogeneous mixture of two or more components. Sugar in water Oxygen in water Air Dental fillings Saline CHEM 100, Fall 2010, LA TECH 5-5 Solute substance that is present in smallest quantity dissolved substance(s) can be either a gas, a liquid, or a solid one or more present in a solution Solvent substance present in largest quantity only one per solution water in aqueous solutions CHEM 100, Fall 2010, LA TECH 5-6 Cola Drinks Solvent • water Solutes • carbon dioxide (gas) • sweetner (solid) • phosphoric acid (liquid) • caramel color (solid) CHEM 100, Fall 2010, LA TECH 5-7 Reactions in Solutions There are many solvents However, water is most abundant dissolving many chemicals. Water can interact with both cations and anions making it the best solvent for ionic compounds. CHEM 100, Fall 2010, LA TECH 5-8 Dissolution of (a) Ionic and (b) Molecular Compounds CHEM 100, Fall 2010, LA TECH 5-9 Types of Chemical Equations Molecular equation: Equation with formula, correct stoichiometric coefficients and physical form written within parenthesis. Ionic equation: All the ionic compounds soluble in water are separated into ions written with their ionic charge and (aq). Net Ionic equation: Ionic equation with all spectator ions removed from both sides. CHEM 100, Fall 2010, LA TECH 5-10 NaCl(aq)+AgNO3(aq) -->AgCl(s)+ NaNO3(aq) Molecular equation: NaCl (aq) + AgNO3 (aq) --> AgCl (s) + NaNO3 (aq) Ionic Equation: Na+ (aq) + Cl-(aq) + Ag+ (aq) + NO3-(aq) --> AgCl(s) + Na+(aq) + NO3- (aq) Spectator Ions: Na+ (aq) and NO-3 (aq) Net Ionic Equation: Cl- (aq) + Ag+ (aq) --> AgCl (s) CHEM 100, Fall 2010, LA TECH 5-11 Spectator Ions Ions appearing on both side of an ionic equation. Ionic Equation: Na+ (aq) + Cl-(aq) + Ag+ (aq) + NO3-(aq) --> AgCl(s) + Na+(aq) + NO3- (aq) CHEM 100, Fall 2010, LA TECH 5-12 More Examples HCl(aq) + NaOH(aq) ----> NaCl(aq) + H2O(l) NaOH(aq) + HC2H3O2(aq) ---> NaC2H3O2(aq) + H2O(l) CHEM 100, Fall 2010, LA TECH 5-13 Types of Chemical Reactions Based on driving force a) Precipitation b) Reactions Acid-base Reactions c) Gas-forming Reactions d)Oxidation-reduction CHEM 100, Fall 2010, LA TECH (REDOX)Reactions 5-14 Precipitation reactions They are double displacement reactions of ionic compounds where an insoluble salt is formed when two aqueous salt solutions are mixed. CHEM 100, Fall 2010, LA TECH 5-15 Solubility rules for ionic compounds All acids are soluble. All Na+, K+ and NH4+ salts are soluble. All nitrate and acetate salts are soluble. All chlorides except AgCl and Hg2Cl2 PbCl2 are soluble. All sulfates are soluble except PbSO4, Hg2SO4, SrSO4 and BaSO4. All sulfides are insoluble except those of the Group IA (1), IIA (2) and ammonium sulfide. All hydroxides are insoluble except those of the group IA(1) and IIA Ba(OH)2. Sr(OH)2 and Ca(OH)2 CHEM 100, Fall 2010, LA TECH 5-16 Illustration of Some Solubility Rules CHEM 100, Fall 2010, LA TECH 5-17 Precipitation of Silver Chloride AgNO3 + NaCl AgCl + NaNO3 precipitate CHEM 100, Fall 2010, LA TECH 5-18 Ionic equations When ionic substances dissolve in water, they dissociate into ions. H2O AgNO3 Ag+ + NO3KCl H2O K+ + Cl- When a reaction occurs, only some of the ions are actually involved in the reaction. Ag+ + NO3- + K+ + Cl- CHEM 100, Fall 2010, LA TECH AgCl(s) + K+ + NO3- 5-19 Ionic equations To help make the reaction easier to see, we commonly list only the species actually involved in the reaction. Full ionic equation Ag+ + NO3- + K+ + ClNet ionic equation Ag+ + Cl- AgCl(s) + K+ + NO3- AgCl(s) NO3- and K+ are referred to as spectator ions. CHEM 100, Fall 2010, LA TECH 5-20 Precipitation of Barium Sulfate Double Displacement: BaCl2(aq) + Na2SO4(aq) 2NaCl(aq) + BaSO4(s) precipitate CHEM 100, Fall 2010, LA TECH 5-21 Ionic Equations Molecular Equation: BaCl2(aq) + Na2SO4(aq) 2NaCl(aq) + BaSO4(s) precipitate Total Ionic Equation: Ba+2 + 2Cl-1 + 2Na+ + SO4-2 2Na+ +Cl-1 + BaSO4(s) Net Ionic Equation: Ba+2 + SO4-2 BaSO4 CHEM 100, Fall 2010, LA TECH 5-22 Precipitation or Not MgI2 + NaNO3= 2 NaI + Mg(NO3)2 Ba(NO3)2+Na2SO4= BaSO4 + 2 NaNO3 AgCl +NaNO3 CHEM 100, Fall 2010, LA TECH = AgNO3 + NaCl 5-23 Acid/base Reactions Acid substance that donates H+ ions to solution sour-tasting substances substances whose aqueous solutions are capable of turning blue litmus indicators red dissolves certain metals to form salts react with bases or alkalis to form salts Base substance that donates a OH-1 ion to solution hydroxides and oxides of metals bitter tasting, slippery solutions turn litmus blue react with acids to form salts CHEM 100, Fall 2010, LA TECH 5-24 Neutralization Reactions Formation of water is the diving force acid + base “salt” + water HCl + NaOH NaCl + H2O Salt H2SO4 + 2KOH K2SO4 + 2H2O •Substances produced by the reaction of an acid with a base •Characterized by ionic bonds and high melting points •Electrical conductivity when melted or when in solution •Has a crystalline structure when in the solid state CHEM 100, Fall 2010, LA TECH 5-25 How do find precursor Acid and base of a Salt Acid (A) + Base(B) = Salt + water (H2O) HA + BOH = BA + H2O E.g. LiNO3 B (Li) A (NO3) OH H BOH(LiOH) HA(HNO3) CHEM 100, Fall 2010, LA TECH 5-26 Some acids, bases and their salts Acid Name Formula Acetic acid Hydrogen chloride Nitric acid Phosphoric acid Sulfuric acid HC2H3O2 HCl HNO3 H3PO4 H2SO4 Base Chloride salt Name Formula Sodium hydroxide NaOH Barium oxide BaO Sodium oxide Na2O Ammonia NH3 CHEM 100, Fall 2010, LA TECH Sodium salt Name Formula Sodium acetate NaC2H3O2 Sodium chloride NaCl Sodium nitrate NaNO3 Sodium phosphate Na3PO4 Sodium sulfateNa2SO4 Name Sodium chloride Barium chloride Sodium chloride Ammonium chloride Formula NaCl BaCl2 NaCl NH4Cl 5-27 Ionization of Acids in Water CHEM 100, Fall 2010, LA TECH 5-28 Common Acids and Bases CHEM 100, Fall 2010, LA TECH 5-29 Ionic Equations Strong Acid/base Molecular Equation: HCl(aq) + NaOH(aq) ----> NaCl(aq) + H2O(l) Total Ionic Equation: H+ + Cl-1 + Na+ + OH-1 Na+ +Cl-1 + H2O Net Ionic Equation: H+ + OH-1 H2O NaOH(aq) + HC2H3O2(aq) -----> NaC2H3O2(aq) + H2O(l) Na+(aq) + OH -(aq) + HC2H3O2(aq) -----> Na+(aq) +C2H3O2-(aq) + H2O(l) HC2H3O2(aq) + OH-1 C2H3O2-(aq) + H2O CHEM 100, Fall 2010, LA TECH 5-30 Ionic Equations Weak Acid/base Molecular Equation: NaOH(aq) + HC2H3O2(aq) -----> NaC2H3O2 (aq) + H2O(l) Total Ionic Equation: Na+(aq) + OH - (aq) + HC2H3O2aq) -----> Na+(aq) +C2H3O2 -(aq) + H2O(l) Net Ionic Equation: HC2H3O2 (aq) + OH- C2H3O2 -(aq) + H2O CHEM 100, Fall 2010, LA TECH 5-31 Acid/base Ionic Equations H2SO4 + 2KOH K2SO4 + 2H2O Total Ionic Equation: 2H+ + SO4-2 + 2Na+ + 2OH-1 2Na+ +2Cl-1 + 2H2O Net Ionic Equation: 2H+ + 2OH-1 2H2O CHEM 100, Fall 2010, LA TECH 5-32 Strong Acids strong – completely ionized weak – partially ionized Strong Acids(strong electrolytes) HCl, HBr, HI, H2SO4, HNO3, HClO4 (all others are weak) Weak acids( weak electrolytes) CH3COOH, HF, HCN, H3PO4, HCOOH, H2CO3 Table 5.2 page 171. CHEM 100, Fall 2010, LA TECH 5-33 Strong Bases Strong bases Metal Hydroxides (Group IA):Li, Na K. (Group IIA): Ca, Sr, Ba (all others metal hydroxides are weak) Weak bases NH3, amines -CH3NH2 Table 5.2 page 171. CHEM 100, Fall 2010, LA TECH 5-34 Gas-Forming Exchange Reaction: CO2, SO2, H2S CHEM 100, Fall 2010, LA TECH 5-35 Reaction of Metal Carbonates with Acids Molecular Equation: CaCO3(s) + 2HCl(aq) CaCl2(aq) + H2CO3(aq) H2CO3(aq) H2O + CO2(g) Total Ionic Equation: CaCO3(s) + 2H+ + 2Cl-1 Ca+2 + 2Cl-1 + H2O + CO2(g) Net Ionic Equation: CaCO3(s) + 2H+ Ca+2 + H2O + CO2(g) CHEM 100, Fall 2010, LA TECH 5-36 Reaction of Metal Carbonates with Acids Alka-Seltzer NaHCO3(aq) + HCl(aq) NaCl(aq) + H2O + CO2(g) Net Ionic Equation: HCO3-1 + 2H+ H2O + CO2(g) Tums CaCO3(s) + 2HCl(aq) CaCl2(aq) + H2O + CO2(g) Net Ionic Equation: CO3-2 + 2H+ H2O + CO2(g) CHEM 100, Fall 2010, LA TECH 5-37 Reaction of Metal Sulfites with Acids Molecular Equation: CaSO3(s) + 2HCl(aq) CaCl2(aq) + H2SO3(aq) H2SO3(aq) H2O + SO2(g) Total Ionic Equation: CaSO3(s) + 2H+ + 2Cl-1 Ca+2 + 2Cl-1 + H2O + SO2(g) Net Ionic Equation: CaSO3(s) + 2H+ Ca+2 + H2O + SO2(g) CHEM 100, Fall 2010, LA TECH 5-38 Reaction of Metal Sulfides with Acids Molecular Equation: Na2S(aq) + 2HCl(aq) 2NaCl(aq) + H2S(g) Total Ionic Equation: 2Na+ + S-2 + 2H+ + 2Cl-1 2Na+ + 2Cl-1 + H2S(g) Net Ionic Equation: S-2 + 2H+ H2S(g) CHEM 100, Fall 2010, LA TECH 5-39 Oxidation-Reduction Reactions CHEM 100, Fall 2010, LA TECH 5-40 Recognizing Redox Reactions CHEM 100, Fall 2010, LA TECH 5-41 Oxidation-Reduction (Redox) Reactions Electrons are transferred from one compound to the other resulting in a chemical change. E.g. Zn(s) + 2HCl(aq) --->ZnCl2(aq) + H2(g) includes Single Replacement Reactions Oxidation –loss of electrons Reduction – gain of electrons oxidizing agent – substance that causes oxidation reducing agent – substance that cause reduction CHEM 100, Fall 2010, LA TECH 5-42 Oxidation number or State A number assigned to a atom in compounds, ions and polyatomic ions to show the number of electrons relative to an atom in the element. CHEM 100, Fall 2010, LA TECH 5-43 Rules for Assigning Ox # a) Oxidation number of atoms in an element is zero (0). e.g. O2 b) Monoatomic ions: Ox # equal to charge. E.g. Na+, Ox # = +1 c) Sum of the oxidation numbers in an element, compound is equal to zero. Sum of the oxidation numbers in an ion, cation or anion is equal to the ionic charge d) As a rule ONs of H =+1, and O=-2 almost most of the time. The group number in the periodic table could be used for main group elements (p and s blocks). d and f block elements show variable ONs E.g. Fe shows either +3 or +2. CHEM 100, Fall 2010, LA TECH 5-44 Oxidation State What is the oxidation state of Cl in HClO4? H +1 O -2 neutral compound, thus sum equals zero 4O 4 -2 = -8 H 1 +1 = +1 0 = +1 + (y) + (-8) y = +7 CHEM 100, Fall 2010, LA TECH 5-45 Oxidation State What is the oxidation state of S in H2SO4? H +1 O -2 neutral compound, thus sum equals zero 4O 4 -2 = -8 2H 2 +1 = +2 0 = +2 + (x) + (-8) x = +6 CHEM 100, Fall 2010, LA TECH 5-46 Assigning the Oxidation State Assign the oxidation states to each atom in NaCl O2 CBr4 S8 MnO2 KMnO4 K2Cr2O7 CHEM 100, Fall 2010, LA TECH 5-47 Which of the following reactions are redox? a) NaCl + AgNO3 ----> AgCl + NaNO3 b) NaOH + HCl ----> NaCl + H2O c) Zn + 2HCl ----> ZnCl2 + H2 d) 2Cr + 6HCl ----> 2CrCl3 + 3H2 e) MnO2 + 4HBr ----> Br2 + MnBr2 + 2H2O CHEM 100, Fall 2010, LA TECH 5-48 Half Redox Reactions two half-reactions in a redox reaction: one where the oxidation is talking place and the other where reduction is taking place. CHEM 100, Fall 2010, LA TECH 5-49 Half Reactions E.g. 2 Na + Cl2 ----> 2NaCl ON 0 0 +1 -1 Oxidation Na ----> Na+ + e- ; Na increase ON, 0 ----> +1 Reduction Cl2 + 2e- ----> 2Cl- ; Cl decrease ON, 0 ----> -1 CHEM 100, Fall 2010, LA TECH 5-50 Separating Half Reactions a) Zn + 2HCl ----> ZnCl2 + H2 b) MnO2+4HBr----> Br2 + MnBr2 + 2H2O c) 10K + 2KNO3 CHEM 100, Fall 2010, LA TECH ----> N2 + 6K2O 5-51 Copper and Nitric Acid CHEM 100, Fall 2010, LA TECH 5-52 Copper Oxide and Hydrogen Gas CHEM 100, Fall 2010, LA TECH 5-53 Single replacement reactions If various metals are in water, we observe that some are more reactive than others. 2Na (s) + 2H2O (l) Ca (s) + 2H2O (l) Mg (s) + H2O (l) 2NaOH (aq) + H2 (g) (fast) Ca(OH)2 (s) + H2 (g) (slow) no reaction This indicates that the order of reactivity of these metals towards water is Na > Ca > Mg We can show the reactivity of metals towards water and acids using an activity series. CHEM 100, Fall 2010, LA TECH 5-54 Activation Series of Metals CHEM 100, Fall 2010, LA TECH 5-55 Activation Series of Metals metals higher in series react with compounds of those below metals become less reactive to water top to bottom metals become less able to displace H2 from acids top to bottom CHEM 100, Fall 2010, LA TECH 5-56 Potassium + Water CHEM 100, Fall 2010, LA TECH 5-57 Activity series of metals various metals in HCl Iron CHEM 100, Fall 2010, LA TECH Zinc Magnesium 5-58 Metal + Metal Salt Displacement CHEM 100, Fall 2010, LA TECH 5-59 Activation Series of Metals Zn(s) + CuSO4(aq) ZnSO4(aq) + Cu(s) Cu(s) + 2AgNO3(aq) Cu(NO3)2(aq) + Ag(s) Fe(s) + 2HCl(aq) FeCl2(aq) + H2(g) Zn(s) + 2HBr(aq) ZnBr2(aq) + H2(g) CHEM 100, Fall 2010, LA TECH 5-60 Common Oxidizing and Reducing Agents CHEM 100, Fall 2010, LA TECH 5-61 Metal + Acid Displacement Single Displacement CHEM 100, Fall 2010, LA TECH 5-62 Concentration Units a) Molarity (M) b) Molality (m) c) Mole fraction (Ca) d) Mass percent (% weight) e) Volume percent (% volume) f) "Proof" g) ppm and ppb CHEM 100, Fall 2010, LA TECH 5-63 Molarity The number of moles of solute per liter of solution. molarity M moles of solute M= liter of solution units molar = moles/liter = M [CaCl2] - special symbol which means molar (CaCl2 mol/L ) CHEM 100, Fall 2010, LA TECH 5-64 Examples Calculate the molarity of a solution prepared by dissolving 200.0 g of K2SO4 in enough water to make 500.0 mL solution. moles of solute Molarity(M) = ---------------------Liters of solution CHEM 100, Fall 2010, LA TECH 5-65 solute = K2SO4; F.W. = 174.27 g/mol; mass= 200g moles of K2SO4 = ? 200 g /174.27 g K2SO4 = 1.148 mol K2SO4 500.0 mL = ? Liters of solution = 0.5 L Molarity? 1.148 mol K2SO4 Molarity of K2SO4 sol. = -----------------------0.5 Liters of solution = 2.30 mole/Liter = 2.30 M (M = moles/liters) CHEM 100, Fall 2010, LA TECH 5-66 Solution Preparation from Solid CHEM 100, Fall 2010, LA TECH 5-67 How do you calculate moles of substances in solutions Use concentration of solution to convert L or mL of solution in to moles What is concentration of a solution? The relative amounts of solute and solvent There are so many ways to show amount: g, mole, equivalents,volume CHEM 100, Fall 2010, LA TECH 5-68 Ion Concentrations in Solutions What is concntration of Cl- in 0.4 M MgCl2 aqeous solution if MgCl2 a strong electrolyte? CHEM 100, Fall 2010, LA TECH 5-69 Examples How many grams of KNO3 are contained in 500 mL of a 0.500 M solution of potassium nitrate? How many mL of 2.00 M solution of HNO3 are required with water to make a 250 mL of 1.50 M nitric acid solution? CHEM 100, Fall 2010, LA TECH 5-70 c Mole fraction ( a) moles of solute (substance) ca = ------------------------------------moles of solute + moles of solvent CHEM 100, Fall 2010, LA TECH 5-71 Calculate the mole fraction of benzene in a benzene(C6H6)chloroform(CHCl3) solution which contains 60 g of benzene and 30 g of chloroform. M.W. = 78.12 (C6H6) M.W. = 119.37 (CHCl3) CHEM 100, Fall 2010, LA TECH 5-72 Weight/Weight % Weight/Weight % = Mass Solute x 100 Total Mass Use the same units for both If a ham contained 5 grams of fat in 200 g of ham, what is the % wt/wt? 5 g / 200g * 100 = 2.5 wt/wt% On the label, it would say 97.5 % fat free. CHEM 100, Fall 2010, LA TECH 5-73 Volume/Volume % Volume/Volume % = Volume Solute x 100 Total Volume Use the same units for both If 10 ml of alcohol is dissolved in water to make 200 ml of solution, what is the concentration? 10 ml / 200 ml * 100 = 5 V/V% Alcohol in wine is measured as a V/V%. CHEM 100, Fall 2010, LA TECH 5-74 Weight/Volume % Weight/Volume % = Mass solute x 100 Total Volume use g and ml If 5 grams of NaCl is dissolved in water to make 200 ml of solution, what is the concentration? 5 g / 200 ml * 100 = 2.5 wt/v% Saline is a 0.9 wt/v% solution of NaCl in water. CHEM 100, Fall 2010, LA TECH 5-75 Low concentrations in water Mass percentages are used for water pollutants. ppm = mass solute mass solution x 106 ppb = mass solute mass solution x 109 Example. One ppm of a toxin in water is the same as 1 mg / liter since one liter of water has a mass of approximately 106 mg. CHEM 100, Fall 2010, LA TECH 5-76 Parts per Million #g of solute ppm = 106 = #g of solution #mg of solute #kg of solution #micro-L solute ppm = #L of solution CHEM 100, Fall 2010, LA TECH 5-77 Solution Preparation by Dilution CHEM 100, Fall 2010, LA TECH 5-78 Dilution Problems Why we dilute solutions? Preparing solutions by adding water to concentrated solutions moles before = moles after MiVi = MfVf Mi Vi Mf Vf = initial molarity = initial volume = final molarity = final molarity CHEM 100, Fall 2010, LA TECH 5-79 Examples How many mL of 2.00 M solution of HNO3 are required with water to make a 250 mL of 1.50 M nitric acid solution? MiVi = MfVf Mi = 2.00 Vi = ? Mf = 1.50 Vf = 250 mL MfVf Vi = --------------- = Mi CHEM 100, Fall 2010, LA TECH 1.50 x 250 ---------------- = 187.5 mL 2.00 5-80 Titrations CHEM 100, Fall 2010, LA TECH 5-81 Titration Method based on measurement of volume. You must have a solution of known concentration standard solution. It is added to an unknown solution while the volume is measured. The process is continued until the end point is reached - a change that we can measure. Acids and bases are commonly measured using titrations. CHEM 100, Fall 2010, LA TECH 5-82 Neutralization The reaction of an acid with a base to produce a salt and water. HCl (aq) + NaOH (aq) NaCl (aq) + H2O (l) • If we prepare a standard solution of NaOH, we can then use it to determine the concentration of HCl in a sample. • This is an example of Analytical Chemistry. CHEM 100, Fall 2010, LA TECH 5-83 Stoichiometric Relationships CHEM 100, Fall 2010, LA TECH 5-84 Stoichiometric calculations of solutions reactions Check whether chemical equation is balanced get the moles from volume and “M” of solutions find the limiting reactant calculate moles of products from the limiting reactant convert moles of the products to grams find the actual yield of the reaction calculate % yield of the reaction CHEM 100, Fall 2010, LA TECH 5-85 EXAMPLE: A sample of lye, sodium hydroxide, is neutralized by sulfuric acid. How many milliliters of 0.200 M H2SO4 are needed to react completely with 25.0 mL of 0.400 M NaOH? 2 NaOH(aq) + H2SO4(aq) Na2SO4(aq) + 2 H2O #mL H2SO4 = (25.0 mL NaOH) (0.400 mol NaOH) (1 L NaOH) (1 mol H2SO4) (2 mol NaOH) (1 L) (1000 mL) (1000 mL H2SO4) (0.200 mol H2SO4) = 25.0 mL H2SO4 CHEM 100, Fall 2010, LA TECH 5-86 Examples How many mLs of 0.100 M BaCl2 are required to react completely with 25 mL of 0.200 M Fe2(SO4)3? 3 BaCl2(aq) + Fe2(SO4)3(aq)---> 3 BaSO4(s) + 2 Fe Cl3(aq) 3 BaCl2 = 1 Fe2(SO4)3 CHEM 100, Fall 2010, LA TECH 5-87 Calculate the moles of Fe2(SO4)3 : moles = Molarity x Liters of solution 0.200 M x 0.025 L = 0.005 mole Fe2(SO4)3 Then convert Fe2(SO4)3 to BaCl2 mole, BaCl2 moles to liters and liters to mL. 0.005 mole Fe2(SO4)3 ----> BaCl2 moles 0.005 mol Fe2(SO4)3 x 3 = 0.015 BaCl2 moles moles = Molarity x Liters of solution 0.015 = 0.100 x Liters Liters BaCl2 = 0.15L = 150 mL of BaCl2 CHEM 100, Fall 2010, LA TECH 5-88