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Chemical Reactions A physical change alters the physical state of a substance without changing its composition ◦ Examples Boiling melting Freezing Vaporization Condensation Sublimation Breaking a bottle Crushing a can A chemical change (a chemical reaction) converts one substance into another ◦ Breaking bonds in the reactants (starting materials) ◦ Forming new bonds in the products aA (physical state) + bB (state) cC (state) + dD (state) A, B = reactants C, D = products a, b, c, d = coefficients to indicate molar ratios of reactants and products CH4 (g) + 2O2 (g) CO2 (g) + 2H2O (g) CH4 and O2 CO2 and H2O Balancing Chemical Equations: Unbalanced equation: C4H10 + O2 CO2 + H2O Balanced equation: 2C4H10 + 13O2 8CO2 + 10H2O 2 molecules of C4H10 13 molecules of O2 8 molecules of CO2 10 molecules of C4H10 H2 + O2 → H20 Reactants are on the left ◦ Things that are used ◦ H2 + O2 Product(s) are on the right ◦ Things that are made ◦ H20 This equation is not yet balanced Do the number of atoms of each element on either side of the arrow balance? ◦ Compounds consist of more than one element ◦ Examples: NaCl, H2SO4, H20 ◦ Look at numbers of each atoms within the compounds Correct any imbalances with a coefficient ◦ Coefficient = the large number to the left of a substance in the equation ◦ Don’t change subscripts This will change what the molecule is Example: to balance an equation you need two atoms of oxygen from water (H2O) ◦ If you change the subscript you change the compound ◦ H2O2 does provide two atoms of oxygen but H2O (water) ≠ H2O2 (hydrogen peroxide) ◦ 2 H2O provides 2 atoms of oxygen and keeps the compound as water ◦ It also gives you 4 atoms of hydrogen that you should then make sure is balanced Relax and calmly go through what is on either side of the equation There are many different ways to start balancing the equation Once you start the remaining coefficients should fall into place Where to start? ◦ Compounds (NaCl, H2SO4, H20) See what elements they have in common ◦ Molecular elements (O2, H2) More than one atom present ◦ Monoatomic elements (Ca, Cl) Only one atom present H2 + O2 → H20 Left Right 2 hydrogen 2 hydrogen 2 oxygen 1 oxygen List out what is on each side Oxygen does not balance H2 + O2 → 2H20 Left Right 2 hydrogen 4 hydrogen 2 oxygen 2 oxygen Multiply right side by 2 to balance oxygen Now hydrogen does not balance 2H2 + O2 → 2H20 Left Right 4 hydrogen 4 hydrogen 2 oxygen 2 oxygen Multiply hydrogen by 2 to balance hydrogen Equation is now balanced C6H12O6 + O2 → CO2 + H2O Left Right 6 carbon 1 carbon 12 hydrogen 2 hydrogen 8 oxygen 3 oxygen List out what is on each side Carbon does not balance C6H12O6 + O2 → 6CO2 + H2O Left Right 6 carbon 6 carbon 12 hydrogen 2 hydrogen 8 oxygen 13 oxygen Look at compounds first Multiply CO2 on right by 6 to balance C Hydrogen does not balance C6H12O6 + O2 → 6CO2 + 6H2O Left Right 6 carbon 6 carbon 12 hydrogen 12 hydrogen 8 oxygen 18 oxygen Multiply water on right side by 6 to balance hydrogen Oxygen does not balance C6H12O6 + 6O2 → 6CO2 + 6H2O Left Right 3 carbon 6 carbon 8 hydrogen 12 hydrogen 2 oxygen 18 oxygen Multiply oxygen on left side by 6 to balance oxygen Equation is now balanced Propane + oxygen → carbon dioxide + water C3H8 + O2 → CO2 + H2O Left Right 3 carbon 1 carbon 8 hydrogen 2 hydrogen 2 oxygen 3 oxygen List out what is on each side Carbon does not balance Propane + oxygen → carbon dioxide + water C3H8 + O2 → 3CO2 + H2O Left Right 3 carbon 3 carbon 8 hydrogen 2 hydrogen 2 oxygen 7 oxygen Look at compounds first Multiply CO2 on right side by 3 to balance carbon Hydrogen does not balance Propane + oxygen → carbon dioxide + water C3H8 + O2 → 3CO2 + 4H2O Left Right 3 carbon 3 carbon 8 hydrogen 8 hydrogen 2 oxygen 10 oxygen Multiply water on right side by 4 to balance hydrogen Oxygen does not balance Propane + oxygen → carbon dioxide + water C3H8 + 5O2 → 3CO2 + 4H2O Left Right 3 carbon 3 carbon 8 hydrogen 8 hydrogen 10 oxygen 10 oxygen Multiply oxygen on left side by 5 to balance oxygen Equation is now balanced Sodium azide → Sodium + nitrogen NaN3 → Na + N2 Left Right 1 sodium 1 sodium 3 nitrogen 2 nitrogen Identify what you have Nitrogen does not balance How do we balance nitrogen when left side has 3 and the right has 2? o o o find the lowest common multiple for both In this case 6 Multiply each side to make 6 atoms Sodium azide → Sodium + nitrogen 2NaN3 → Na + N2 Left Right 2 sodium 1 sodium 6 nitrogen 2 nitrogen Multiply sodium azide on left side by 2 to get 6 nitrogen atoms Still need to make 6 atoms of nitrogen on right side Sodium azide → Sodium + nitrogen 2NaN3 → Na + 3N2 Left Right 2 sodium 1 sodium 6 nitrogen 6 nitrogen Multiply nitrogen by 3 on left side to get 6 nitrogen atoms Sodium is not balanced Sodium azide → Sodium + nitrogen 2NaN3 → 2Na + 3N2 Left Right 2 sodium 2 sodium 6 nitrogen 6 nitrogen Multiply sodium on right side by 2 to balance sodium Equation is now balanced A mole is a quantity that contains 6.02 X 1023 items (usu. atoms, molecules or ions) ◦ An amount of a substance whose weight, in grams is numerically equal to what its molecular weight was in amu ◦ Just like a dozen is a quantity that contains 12 items ◦ 1 mole of C atoms = 6.02 x 1023 C atoms ◦ 1 mole of CO2 molecules = 6.02 x 1023 CO2 molecules ◦ 1 mole of H2O molecules = 6.02 x 1023 H2O molecules The number 6.02 X 1023 is Avogadro’s number 1 mol 6.02 x 1023 molecules 1 mol 6.02 x 1023 atoms How many molecules are in 2.5 moles of penicillin 2.5 moles penicillin X 6.02 x 1023 molecules = 1 mole 1.5 X 1024 molecules The formula weight is the sum of the atomic weights of all the atoms in a compound, reported in atomic mass units The molar mass is the mass of one mole of any substance, reported in grams ◦ The value of the molar mass of a compound in grams equals the value of its formula weight in amu. The sum of the atomic weights of all the atoms in a compound, reported in atomic mass units ◦ This may be called molecular weight for covalent compounds Example ◦ H2O Contains 2 Hydrogen atoms and 1 Oxygen atom Hydrogen weighs 1.01 amu (1.01 g H/mole) Oxygen weighs 16.0 amu (16.0 g O/mole) Formula/molecular weight = 2(1.01 amu) +16.0 amu = 18.0 amu Looking only at one molecule Molar mass = 2(1.01 g/mol) +16.0 g/mol = 18.0 g/mol Looking at one mole of the substance Stoichiometry is the study of the quantitative relationships that exist between substances involved in a chemical reaction Mole ratios within molecules: AxBy Mole ratio of A:B = x:y Example: H2O2 ⇒ H:O = 2:2 = 1:1 Mole ratios between molecules A balanced equation tells us the number of moles of each reactant that combine and number of moles of each product formed aA + bB cC + dD Mole ratio of A:B:C:D = a:b:c:d Example: 2H2 + O2 → 2H20 H2:O2:H20 = 2:1:2 The coefficients in the balanced chemical equation can represent the ratio of molecules of the substances that are consumed or produced The coefficients in the balanced chemical equation can represent the ratio of moles of the substances that are consumed or produced 2H2 + O2 → 2H20 There are 4 basic types of stoichiometry problems: ◦ ◦ ◦ ◦ Moles to moles Moles to grams Grams to moles Grams to grams However, all stoichiometry problems are really very similar, and the same general approach can be used to solve any of them ◦ So really only one type of problem Grams to moles to moles to grams mol g mol g N2 +3H2→2NH3 mol mol g How many moles of H2 are required to produce 3.89 mol of NH3? ◦ Equation says H2:NH3 is 3:2 ◦ 3.89 mol NH3 * 2 mol H2 = 5.84 moles H2 3 mol NH3 g N2 +3H2→2NH3 mol mol g g How many grams of NH3 are produced from 3.44 mol of N2? ◦ Use mole ratio between NH3 and N2 ◦ Then use molar mass to convert moles to g ◦ 3.44 mol N2 * 2 mol NH3 * 17 g NH3 =117 g NH3 1 mol N2 1 mol NH3 mol N2 +3H2→2NH3 g mol g How many moles H2 react with 6.77 g of N2? Convert grams to moles using molar mass Use molar ratio between N2 and H2 ◦ 6.77 g N2 * 1 mol N2 * 3 mol H2 = 0.725 mol H2 28.0 g N2 1 mol N2 N2 +3H2→2NH3 mol g mol g How many grams of NH3 are produced from 8.23 g of H2? Use molar mass to convert g to moles Use molar ratio to convert between moles Use molar mass to convert moles to g 8.23 g H2 * 1 mol H2 * 2 mol NH3 * 17.0 g NH3= 46.2 g NH3 2.02 g H2 3 mol H2 mol NH3 mol unit given mol unit requested Once you have converted things into moles you can use molar ratios in balanced equations to convert between different elements, compounds, and molecules Problems may ask for g, molecules, atoms, or many other units If I gave you a value in g how would you convert it to mol? ◦ Use formula weight (mass) Calculate using the periodic table ◦ Example: 53.21 g C6H12O6 Formula weight/molecular mass: 6*(12.01 g/mol) + 12*(1.01 g/mol) +6*(16.00 g/mol) = 180.18 g/mol ◦ Use value to calculate moles (may have to invert value) 53.21 g C6H12O6 * 1 mol C6H12O6 180.18 g C6H12O6 = 0.2953 mol C6H12O6 If I give you a value in mol how would you compare it to mol of another substance? ◦ Use a balanced equation Example 5 mol CO2 to mol O2 ◦ 6CO2 + 6H2O C6H12O6 + 6O2 ◦ Use the stoichiometric coefficients to convert between any of the substances in this equation 6CO2 6CO2 6CO2 6H2O C6H12O6 6O2 ◦ In our case only interested in the relationship with O2 5 mol CO2 * 6CO2 = 5 mol O2 6O2 All questions will build on the examples on the previous two slides ◦ May ask you to go g mol mol g ◦ May ask you to convert mol to number of atoms or number of molecules Use Avagadro’s number 6.02 X 1023 ◦ May ask you to use some other value in the future, but it will be something that you can relate to g or to mol INGREDIENTS: ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ 3 cups all-purpose flour 1 teaspoon salt 1 cup shortening 1/2 cup cold water 2 cups pumpkin 2 eggs, beaten 3/4 cup packed brown sugar 2 teaspoon spices If you want to make multiple pies - the amount of pie that you can bake depends on which of the ingredients you have the “least” of – what will you run out of first? Ingredient Recipe In pantry # of recipes it can make flour 3 cups 14 cups 4.67 x salt 1 tsp 20 tsp 20 x shortening 1 cup 7 cup 7x water ½ cup ∞∞ ∞ pumpkin 2 cups 19 cups 9.5 x eggs 2 18 9x sugar ¾ cup 3 cups 4X spice 2 tsp 21 tsp 10.5 x Limiting ingredient N2 +3H2→2NH3 You have 4 moles N2 and 9 moles H2 How many moles of NH3 could be produced? Actual Required Rx N2 4 1 4 H2 9 3 3 H2 is the limiting reactant and limits how much NH3 can be made 9 moles H2 * 2 mol NH3 = 6 mol NH3 3 mol H2 Compare the actual amount of each reactant to the amount required in the balanced equation to determine how many times the “reaction can be run” Use the amount of the limiting reactant to calculate how much product can be produced How many g of S can be produced if we attempt to react 9.00g of Bi2S3 with 16.00g of HNO3? 9.00 g Bi2S3 * 1 mol Bi2S3 = 0.0175 mol Bi2S3 514.3 g Bi2S3 0.0175 mol Bi2S3 * 16.00 g HNO3 * 1 mol HNO3 = 0.254 mol HNO3 63.0 g HNO3 0.254 mol HNO3 * 1 Rx = 0.0175 allows Rx to run 0.0175 times 1 mol Bi2S3 1 Rx = 0.3175 allows Rx to run 0.0318 times 8 mol HNO3 Therefore Bi2S3 is the limiting reactant Use Bi2S3 - the limiting reactant to calculate S ◦ How many g of S can be produced if we attempt to react 9.00 g of Bi2S3 with 16.00 g of HNO3? To see how much S can be produced this is gram to mole to mole to gram problem 9.00 g Bi2S3 * 1 mol Bi2S3 = 0.0175 mol Bi2S3 514.3 g Bi2S3 0.0175 mol Bi2S3 * 3 mol S * 32.1 g S = 1.69 g S mol Bi2S3 mol S If 3.00 mol H2 reacts with 2.00 mol O2 how many moles of H2O will form? Solution 1: ◦ 3.00 mol H2 * 1 Rx = 1.50 Rx 2 mol H2 ◦ 2.00 mol O2 * 1 Rx = 2.00 Rx 1 mol O2 ◦ H2 is limiting reactant so use it to calculate mol of H2O ◦ 3.00 mol H2 * 2 mol H2O = 3.00 mol H2O 2 mol H2 H2 is the limiting reactant so 3.00 mol H2O will theoretically form If 3.00 mol H2 reacts with 2.00 mol O2 how many moles of H2O will form? Solution 2: ◦ 3.00 mol H2 * 2 mol H2O = 3.00 mol H2O 2 mol H2 ◦ 2.00 mol O2 * 2 mol H2O = 4.00 mol H2O 1 mol O2 H2 is the limiting reactant so 3.00 mol H2O will theoretically form actual yield percentage yield theoretica l yield 100% Actual yield is determined experimentally, it is the mass of the product that is measured Theoretical yield is the calculated mass of the products based on the initial mass or number of moles of the reactants If 3.00 mol H2 reacts with 2.00 mol O2 how many moles of H2O will form? We just saw that H2 is the limiting reactant so 3.00 mol H2O will theoretically form If we run this in the lab and end up producing 1.75 mol H2O what is the percent yield? 1.75 mol H2O * 100% = 58.3 % 3.00 mol H2O Both processes occur together in a single reaction called an oxidation−reduction or redox reaction. Thus, a redox reaction always has two components, one that is oxidized and one that is reduced A redox reaction involves the transfer of electrons from one element to another. Oxidation is the loss of electrons from an atom. ◦ Reducing agents are oxidized Reduction is the gain of electrons by an atom ◦ Oxidizing agents are reduced. LEO says GER Cu2+ gains 2 e− Zn + Cu2+ Zn2+ + Cu Zn loses 2 e– •Zn loses 2 e− to form Zn2+, so Zn is oxidized. •Cu2+ gains 2 e− to form Cu, so Cu2+ is reduced. Cu2+ gains 2 e− Zn2+ + Cu Zn + Cu2+ Zn loses 2 e– Each of these processes can be written as an individual half reaction: Zn2+ + 2 e− loss of e− Oxidation half reaction: Zn Reduction half reaction: Cu2+ + 2e− gain of e− Cu Zn oxidized + Cu2+ Zn2+ + Cu reduced A compound that is oxidized while causing another compound to be reduced is called a reducing agent Zn acts as a reducing agent because it causes Cu2+ to gain electrons and become reduced 58 Zn oxidized + Cu2+ Zn2+ + Cu reduced A compound that is reduced while causing another compound to be oxidized is called an oxidizing agent Cu2+ acts as an oxidizing agent because it causes Zn to lose electrons and become oxidized 59 60 Iron Rusting O gains e– and is reduced. 4 Fe(s) + 3 O2(g) neutral Fe neutral O 2 Fe2O3(s) Fe3+ O2– Fe loses e– and is oxidized. 61 Inside an Alkaline Battery Mn4+ gains e− and is reduced. Zn + 2 MnO2 neutral Zn Mn4+ ZnO + Mn2O3 Zn2+ Mn3+ Zn loses e− and is oxidized. 62 Zn + 2 MnO2 ZnO + Mn2O3 63 Oxidation results in the: Reduction results in the: •Gain of oxygen atoms •Loss of oxygen atoms •Loss of hydrogen atoms •Gain of hydrogen atoms 64