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IB Topic 1: Quantitative Chemistry 1.3: Chemical Equations 1.3.1 Deduce chemical equations when all reactants and products are given 1.3.2 Identify the mole ratio of any two species in a chemical reaction. 1.3.3 Apply the state symbols (s), (l), (g) and (aq) 1 1.3.1 Deduce chemical equations when all reactants and products are given. What is a chemical reaction? Rearrangement of atoms forming new substances Reactants Products Some reactions are desirable… Glucose + oxygen Carbon dioxide + water …some are not. Iron + oxygen iron (III) oxide (a.k.a. rust) 2 Chemical Reactions A few ways to determine whether a chemical reaction has taken place: Heat is absorbed or given off Change in color Change in odor Production of a gas or solid (precipitate) Not easily reversible (it won’t recreate the reactants) 3 4 1.3.1 Deduce chemical equations when all reactants and products are given. Chemical formulas are easier and more informative to use in equations than words. A skeleton equation is a chemical equation that shows what reactants and products are involved. It does not necessarily indicate the relative amounts of reactants and products. Fe + O2 Fe2O3 Sometimes the skeleton equation is balanced (all coefficients = 1). SnO2(s) Sn(s) + O2(g) 5 Identify types of chemical reactions Types of Chemical Reactions 1) Synthesis or Combination Reaction: Two or more substances combine to form a single substance. 2Na(s) + Cl2(g) 2NaCl(s) CaO(s) + H2O(l) Ca(OH)2(aq) 2H2(g) + O2(g) 2H2O (l) 4Fe(s) + 3O2(g) 2Fe2O3(s) N2(g) + 3H2(g) 2NH3(g) 6 Identify types of chemical reactions Types of Chemical Reactions 2) Decomposition Reactions: A single substance is broken down into two or more substances. CaCO3(s) CaO(s) + CO2(g) 2H2O(l) 2H2(g) + O2(g) 2H2O2(aq) 2H2O(l) + O2(g) 7 Identify types of chemical reactions Types of Chemical Reactions 3) Single-Replacement Reactions: One element replaces another in a compound. Mg(s) + Zn(NO3)2(aq) Mg(NO3)2(aq) + Zn(s) 2K(s) + 2H2O(l) 2KOH (aq) + H2(g) Cu(s) + 2AgNO3(aq) Cu(NO3)2(aq) + 2Ag(s) 2Al(s) + Fe2O3(s) Al2O3(s) + 2Fe(s) Cl2(g) + 2NaBr(aq) 2NaCl(aq) + Br2(g) 8 Identify types of chemical reactions Types of Chemical Reactions 4) Double-Replacement Reactions: Ions of two reacting compounds trade places. Na2CO3(aq) + CaCl2(aq) CaCO3(s) + 2NaCl(aq) Na2S(aq) + Cd(NO3)2(aq) CdS(s) + 2NaNO3(aq) NaOH(aq) + HCl(aq) NaCl(aq) + H2O(l) H2SO4(aq) + 2NaCN(aq) Na2SO4(aq) + 2HCN(g) 9 Identify types of chemical reactions Types of Chemical Reactions 5) Combustion Reactions: A compound reacts with oxygen. Products are usually carbon dioxide and water. CH4(g) + O2(g) CO2(g) + H2O(g) C3H8(g) + 5O2(g) 3CO2(g) + 4H2O(g) 2C8H18(l) + 25O2(g) 16CO2(g) + 18H2O(g) C2H5OH(l) + 3O2(g) 2CO2(g) + 3H2O(g) 10 1.3.1 Deduce chemical equations when all reactants and products are given. Balancing chemical equations The Law of Conservation of Matter: In a chemical (non-nuclear) reaction, atoms are neither created nor destroyed. For an equation to be balanced the number of atoms of each element is the same on both sides of the equation. H2(g) + O2(g) H2O (l) (unbalanced) 2H2(g) + O2(g) 2H2O (l) (balanced) K(s) + H20(l) KOH (aq) + H2(g) (unbalanced) 2K(s) + 2H20(l) 2KOH (aq) + H2(g) (balanced) C6H12O6 + O2 CO2 + H2O C6H12O6 + 6O2 6CO2 + 6H2O (unbalanced) (balanced) 11 Counting Atoms Subscripts indicate how many of a specific atom is present in a compound Coefficients tell us how many units of the compound we have This is the small number to the bottom right of an element in a compound. Ex. H2O… 2 is the subscript Ex. 3 H2O means that we have 3 water molecules So, how many hydrogen atoms do we have? Oxygen atoms? Let’s practice 12 1.3.1 Deduce chemical equations when all reactants and products are given. Rules for Balancing Equations 1) Write the correct formulas for the reactants on the left side of the yield sign and products on the right side. 2) Count the number of atoms of each element in the products and the reactants. 3) Balance the elements one at a time by using coefficients. Do not change the subscripts in the chemical formulas. 4) Check each atom or polyatomic ion to make sure the equation is balanced. 5) Make sure all coefficients are in the lowest possible ratio. 13 1.3.1 Deduce chemical equations when all reactants and products are given. N2 + H2 NH3 Rules for Balancing Equations 1) Formulas given 1) Write the correct formulas for 2) Reactants Products the reactants on the left side of 2N 2H 1N 3H the yield sign and products on the right side. 3) Balance N by putting 2 in front of NH3 2) Count the number of atoms of each element in the products N2 + H2 2NH3 and the reactants. Balance H by putting 3 in front of H2 3) Balance the elements one at a N2 + 3H2 2NH3 time by using coefficients. Do not change the subscripts in 4) 2N 6H 2N 6H the chemical formulas. 4) Check each atom or polyatomic ion to make sure the equation 5) Lowest ratio of coefficients is balanced. 5) Make sure all coefficients are in the lowest possible ratio. 14 1.3.1 Deduce chemical equations when all reactants and products are given. KClO3 KCl + O2 Rules for Balancing Equations 1) Write the correct formulas for the reactants on the left side of the yield sign and products on the right side. 2) Count the number of atoms of each element in the products and the reactants. 3) Balance the elements one at a time by using coefficients. Do not change the subscripts in the chemical formulas. 4) Check each atom or polyatomic ion to make sure the equation is balanced. 5) Make sure all coefficients are in the lowest possible ratio. 1) Formulas given 2) Reactants Products 1K 1Cl 3O 1K 1Cl 2O 3) Balance O by putting 2 in front of KClO3 and 3 in front of O2 2KClO3 KCl + 3O2 Balance K & Cl by putting 2 in front of KCl 2KClO3 2KCl + 3O2 4) 5) 2K 2Cl 6O 2K 2Cl 6O Lowest ratio of coefficients 15 1.3.1 Deduce chemical equations when all reactants and products are given. Balance the following equations Fe(s) + O2(g) Fe2O3(s) CaCO3(s) CaO(s) + CO2(g) Al(s) + Fe2O3(s) Al2O3(s) + Fe(s) H2SO4(aq) + NaCN(aq) Na2SO4(aq) + HCN(g) C2H5OH(l) + O2(g) CO2(g) + H2O(g) 16 1.3.1 Deduce chemical equations when all reactants and products are given. Balance the following equations 4Fe(s) + 3O2(g) 2Fe2O3(s) CaCO3(s) CaO(s) + CO2(g) 2Al(s) + Fe2O3(s) Al2O3(s) + 2Fe(s) H2SO4(aq) + 2NaCN(aq) Na2SO4(aq) + 2HCN(g) C2H5OH(l) + 3O2(g) 2CO2(g) + 3H2O(g) 17 1.3.1 Deduce chemical equations when all reactants and products are given. Aluminum bromide + chlorine yield aluminum chloride + bromine 2AlBr3 + 3Cl2 2AlCl3 + 3Br2 Seven elements are diatomic: H2, N2, O2, F2, Cl2, Br2, I2 Copper + oxygen produces copper(I) oxide 4Cu + O2 2Cu2O 18 1.3.1 Deduce chemical equations when all reactants and products are given. Sodium chlorate decomposes to sodium chloride and oxygen gas Aluminum nitrate plus sodium hydroxide yields aluminum hydroxide plus sodium nitrate Ethane (C2H6) burns in oxygen to produce carbon dioxide and water vapor 19 1.3.1 Deduce chemical equations when all reactants and products are given. Sodium chlorate decomposes to sodium chloride and oxygen gas 2NaClO3 2NaCl + 3O2 Aluminum nitrate plus sodium hydroxide yields aluminum hydroxide plus sodium nitrate Al(NO3)3 + 3NaOH Al(OH)3 + 3NaNO3 Ethane (C2H6) burns in oxygen to produce carbon dioxide and water vapor 2C2H6 + 7O2 4CO2 + 6H2O 20 1.3.3 Apply the state symbols (s), (l), (g) and (aq) Symbols used in chemical reactions + Used to separate two reactants or products A “Yields” arrow () separates products from reactants Used in place of for reversible reactions (s) Designates a solid reactant or product (l) Designates a liquid reactant or product (g) Designates a gaseous reactant or product (aq) Designates an aqueous reactant or product Indicates that heat is supplied to the reaction 21 1.3.3 Apply the state symbols (s), (l), (g) and (aq) (s) Designates a solid reactant or product (l) Designates a liquid reactant or product (g) Designates a gaseous reactant or product (aq) Designates an aqueous reactant or product 22 1.3.3 Apply the state symbols (s), (l), (g) and (aq) Rule 1. All compounds of Group IA elements (the alkali metals) are soluble. For example, NaNO3, KCl, and LiOH are all soluble compounds. This means that an aqueous solution of KCl really contains the predominant species K+ and Cl- and, because KCl is soluble, no KCl is present as a solid compound in aqueous solution: KCl(s) => K+(aq.) + Cl-(aq.) 23 1.3.3 Apply the state symbols (s), (l), (g) and (aq) Rule 2. All ammonium salts (salts of NH4+) are soluble. For example, NH4OH is a soluble compound. Molecules of NH4OH completely dissociate to give ions of NH4+ and OH- in aqueous solution. 24 1.3.3 Apply the state symbols (s), (l), (g) and (aq) Rule 3. All nitrate (NO3-), chlorate (ClO3-), perchlorate (ClO4-), and acetate (CH3COOor C2H3O2- are soluble. For example, KNO3 would be classified as completely soluble by rules 1 and 3. Thus, KNO3 could be expected to dissociate completely in aqueous solution into K+ and NO3- ions: KNO3 => K+(aq.) + NO3-(aq.) 25 1.3.3 Apply the state symbols (s), (l), (g) and (aq) Rule 4. All chloride (Cl-), bromide (Br-), and iodide (I-) salts are soluble except for those of Ag+, Pb2+, and Hg22+. For example, AgCl is a classic insoluble chloride salt: AgCl(s) <=> Ag+(aq.) + Cl-(aq.) (Ksp = 1.8 x 10-10). 26 1.3.3 Apply the state symbols (s), (l), (g) and (aq) Rule 5. All sulfate ( SO4=) compounds are soluble except those of Ba2+, Sr2+, Ca2+, Pb2+, Hg22+, and Hg2+. Ca2+ and Ag+ sulfates are only moderately soluble. For example, BaSO4 is insoluble (only soluble to a very small extent): BaSO4(s) <=> Ba2+(aq.) + SO42-(aq.) (Ksp = 1.1 x 10-10). Na2SO4 is completely soluble: Na2SO4(s) => 2 Na+(aq.) + SO42-(aq.). 27 1.3.3 Apply the state symbols (s), (l), (g) and (aq) Rule 6. All hydroxide (OH-) compounds are insoluble except those of Group I-A (alkali metals) and Ba2+, Ca2+, and Sr2+. For example, Mg(OH)2 is insoluble (Ksp = 7.1 x 10-12) NaOH and Ba(OH)2 are soluble, completely dissociating in aqueous solution: NaOH(s) => Na+(aq.) + OH- (aq.), a strong base Ba(OH)2(s) => Ba2+ (aq.) + 2OH- (aq.) (Ksp = 3 x 10-4) 28 1.3.3 Apply the state symbols (s), (l), (g) and (aq) Rule 7. All sulfide (S2-) compounds are insoluble except those of Groups I-A and II-A (alkali metals and alkali earths). For example, Na2S(s) <=> 2Na+ (aq.) + S2- (aq.) MnS is insoluble (Ksp = 3 x 10-11). 29 1.3.3 Apply the state symbols (s), (l), (g) and (aq) Rule 8. All sulfites (SO32-), carbonates (CO32-), chromates (CrO42-), and phosphates (PO43-) are insoluble except for those of NH4+ and Group I-A (alkali metals)(see rules 1 and 2). For example, calcite, CaCO3 (s) <=> Ca2+ (aq.) + CO32- (aq.) (Ksp = 4.5 x 10-9). 30 1.3.3 Apply the state symbols (s), (l), (g) and (aq) 1. 2. 3. 4. OR... Use a Solubility Chart Let’s use the following reactions to apply this assessment statement Hydrogen peroxide decomposes into water and oxygen gas Potassium phosphate reacts with magnesium chloride to form magnesium phosphate and potassium chloride Iron reacts with copper (II) sulfate to form iron (II) sulfate and copper Sulfuric acid (hydrogen sulfate) reacts with copper (II) oxide to produce copper (II) sulfate and water 31 32 1.3.3 Apply the state symbols (s), (l), (g) and (aq) 1. Hydrogen peroxide decomposes into water and oxygen gas 2 H2O2(aq) 2 H2O(l) + O2(g) 2. Potassium phosphate reacts with magnesium chloride to form magnesium phosphate and potassium chloride 2K3PO4 (aq) + 3MgCl2 (aq) Mg3(PO4)2 (s) + 6KCl (aq) 3. Iron reacts with copper (II) sulfate to form iron (II) sulfate and copper Fe(s) + CuSO4(aq) FeSO4(aq) + Cu(s) 4. Sulfuric acid (hydrogen sulfate) reacts with copper (II) oxide to produce copper (II) sulfate and water H2SO4 (aq) + CuO (s) CuSO4 (aq) + H2O (l) 33 Cookies and Chemistry…Huh!?!? Just like chocolate chip cookies have recipes, chemists have recipes as well Instead of calling them recipes, we call them reaction equations Furthermore, instead of using cups and teaspoons, we use moles Lastly, instead of eggs, butter, sugar, etc. we use chemical compounds as ingredients 34 1.3.2 Identify the mole ratio of any two species in a chemical reaction. Coefficients are in particles or in moles 2 f.u. NaClO3 2 f.u. NaCl + 3 molecules O2 2 mol NaClO3 2 mol NaCl + 3 mol O2 We will use moles because we measure moles in grams The coefficients give us mole ratios Mole ratio NaClO3:NaCl is 2:2 Mole ratio NaCl:O2 is 2:3 Mole ratio O2:NaCl is 3:2 35 1.3.2 Identify the mole ratio of any two species in a chemical reaction. Consider the following equation 2K2Cr2O7 + 2H2O + 3S 4KOH + 2Cr2O3 + 3SO2 What What What What is the KOH:S mole ratio? is the K2Cr2O7:Cr2O3 mole ratio? is the mole ratio between sulfur dioxide and water? species will give mole ratios of 4:2? 36 1.3.2 Identify the mole ratio of any two species in a chemical reaction. Consider the following equation 2K2Cr2O7 + 2H2O + 3S 4KOH + 2Cr2O3 + 3SO2 What is the KOH:S mole ratio? 4:3 What is the K2Cr2O7:Cr2O3 2:2 What is the mole ratio between sulfur dioxide and water? 3:2 What species will give mole ratios of 4:2? KOH:K2Cr2O7 KOH:H2O KOH:Cr2O3 37 1.3.2 Identify the mole ratio of any two species in a chemical reaction. Looking at a reaction tells us how much of something you need to react with something else to get a product (like the cookie recipe) Be sure you have a balanced reaction before you start! Example: 2 Na + Cl2 2 NaCl This reaction tells us that by mixing 2 moles of sodium with 1 mole of chlorine we will get 2 moles of sodium chloride What if we wanted 4 moles of NaCl? 10 moles? 50 moles? 38 1.3.2 Identify the mole ratio of any two species in a chemical reaction. These mole ratios can be used to calculate the moles of one chemical from the given amount of a different chemical Example: How many moles of chlorine is needed to react with 5 moles of sodium (without any sodium left over)? 2 Na + Cl2 2 NaCl 5 moles Na 1 mol Cl2 2 mol Na = 2.5 moles Cl2 39 1.3.2 Identify the mole ratio of any two species in a chemical reaction. Looking at a reaction tells us how much of something you need to react with something else to get a product (like the cookie recipe) Be sure you have a balanced reaction before you start! Example: 2 Na + Cl2 2 NaCl This reaction tells us that by mixing 2 moles of sodium with 1 mole of chlorine we will get 2 moles of sodium chloride What if we wanted 4 moles of NaCl? 10 moles? 50 moles? 40 1.3.2 Identify the mole ratio of any two species in a chemical reaction. How many moles of sodium chloride will be produced if you react 2.6 moles of chlorine gas with an excess (more than you need) of sodium metal? 2 Na + Cl2 2 NaCl 2.6 moles Cl2 2 mol NaCl 1 mol Cl2 = 5.2 moles NaCl 1.3.2 Practice Write the balanced reaction for hydrogen gas reacting with oxygen gas. 2 H2 + O2 2 H2O 2 mol H2 How many moles of reactants are needed? 1 mol O2 What if we wanted 4 moles of water? 4 mol H2 mol O2 hydrogen What if we had 3 moles of oxygen, how2 much would we need to react and how much water would we get? 6 mol H2, 6 mol H2O What if we had 50 moles of hydrogen, how much oxygen would we need and how much water produced? 25 mol O2, 50 mol H2O 42