Stoichiometry Newport High School Academic Chemistry Mrs. Teates Lesson 1 – Introduction to Stoichiometry Lesson Essential Questions: • What is stoichiometry and how is it used to describe reactions? Vocabulary: stoichiometry, composition stoichiometry, reaction stoichiometry, mole, Avogadro’s number, molar mass Stoichiometry Definition Stoichiometry • mass relationships between substances in a chemical reaction Composition stoichiometry deals with the mass relationships of elements in compounds. Reaction stoichiometry involves the mass relationships between reactants and products in a chemical reaction. What is the Mole? A counting number (like a dozen) • Can be used to measure anything (DVDs, cars, eggs, molecules) 1 mol = 6.02 1023 items A large amount!!!! What is the Mole? 1 mole of hockey pucks would equal the mass of the moon! 1 mole of basketballs would fill a bag the size of the earth! 1 mole of pennies would cover the Earth 1/4 mile deep! Molar Mass Mass of 1 mole of an element or compound. Atomic mass tells the... • atomic mass units per atom (amu) • grams per mole (g/mol) Round to 2 decimal places Molar Mass Examples carbon aluminum 12.01 g/mol 26.98 g/mol 65.39 g/mol zinc Molar Mass Examples water H2O 2(1.01) + 16.00 = 18.02 g/mol sodium chloride NaCl 22.99 + 35.45 = 58.44 g/mol Molar Mass Examples sodium bicarbonate NaHCO3 22.99 + 1.01 + 12.01 + 3(16.00) = 84.01 g/mol sucrose C12H22O11 12(12.01) + 22(1.01) + 11(16.00) = 342.34 g/mol Molar Conversions molar mass 6.02 1023 MASS NUMBER MOLES IN GRAMS OF PARTICLES (g/mol) (particles/mol) Molar Conversion Examples How many moles of carbon are in 26 g of carbon? 26 g C 1 mol C 12.01 g C = 2.2 mol C Molar Conversion Examples How many molecules are in 2.50 moles of C12H22O11? 2.50 mol 6.02 1023 molecules 1 mol = 1.51 1024 molecules C12H22O11 Molar Conversion Examples the mass of 2.1 1024 molecules of NaHCO3. Find 2.1 1024 1 mol 84.01 g molecule s 6.02 1023 1 mol molecules = 290 g NaHCO3 Percentage Composition Calculate because it is useful to know the percentage by mass of an element in a compound m ass_ of _ elem ent_ in _ sam ple_ of _ com pound *100 percentage_ com position m ass_ of _ sam ple_ of _ com pound or m ass_ of _ elem ent_ in _ 1m ol_ of _ com pound *100 percentage_ com position m olar_ m ass_ of _ com pound Sample Problems Sample Problem J on page 243 Practice problem #1 Mole Ratio A mole ratio is a conversion factor that relates the amounts in moles of any two substances involved in a chemical reaction Example: 2Al2O3(l) → 4Al(s) + , , 3O2(g) Mole Ratios: 2 mol Al2O3 2 mol Al2O3 4 mol Al 4 mol Al 3 mol O2 3 mol O2 Converting Between Amounts in Moles Stoichiometry Calculations Lesson 2 – Ideal Stoichiometric Calculations Lesson Essential Questions: • How are calculations used to describe chemical reactions? Proportional Relationships 2 1/4 c. flour 1 tsp. baking soda 1 tsp. salt 1 c. butter 3/4 c. sugar 3/4 c. brown sugar 1 tsp vanilla extract 2 eggs 2 c. chocolate chips Makes 5 dozen cookies. I have 5 eggs. How many cookies can I make? Ratio of eggs to cookies 5 eggs 5 doz. 2 eggs = 12.5 dozen cookies Stoichiometry Steps 1. Write a balanced equation. 2. Identify known & unknown. 3. Line up conversion factors. • Mole ratio - moles molesmoles moles • Molar mass - moles grams • Molarity moles liters soln • Molar volume - moles liters gas Core step in all stoichiometry problems!! 4. Check answer. Stoichiometry Calculations Conversion of Quantities in Moles Conversions of Quantities in Moles Sample Problem A In a spacecraft, the carbon dioxide exhaled by astronauts can be removed by its reaction with lithium hydroxide, LiOH, according to the following chemical equation. CO2(g) + 2LiOH(s) → Li2CO3(s) + H2O(l) How many moles of lithium hydroxide are required to react with 20 mol CO2, the average amount exhaled by a person each day? Conversions of Quantities in Moles Sample Problem A Solution CO2(g) + 2LiOH(s) → Li2CO3(s) + H2O(l) Given: amount of CO2 = 20 mol Unknown: amount of LiOH (mol) mol LiOH Solution: mol CO2 mol LiOH mol CO2 2 mol LiOH 20 mol CO2 40 mol LiOH 1 mol CO2 Conversions of Amounts in Moles to Mass Conversions of Amounts in Moles to Mass Sample Problem B In photosynthesis, plants use energy from the sun to produce glucose, C6H12O6, and oxygen from the reaction of carbon dioxide and water. What mass, in grams, of glucose is produced when 3.00 mol of water react with carbon dioxide? Conversions of Amounts in Moles to Mass Sample Problem B Solution Given: amount of H2O = 3.00 mol Unknown: mass of C6H12O6 produced (g) Solution: Balanced Equation: 6CO2(g) + 6H2O(l) → C6H12O6(s) + 6O2(g) mol ratio mol H2O 3.00 mol H2O mol C6H12O6 mol H2O molar mass factor g C6H12O6 mol C6H12O6 g C6H12O6 1 mol C6H12O6 180.18 g C6H12O6 = 6 mol H2O 1 mol C6H12O6 90.1 g C6H12O6 Conversions of Mass to Amounts in Moles Conversions of Mass to Amounts in Moles Sample Problem D The first step in the industrial manufacture of nitric acid is the catalytic oxidation of ammonia. NH3(g) + O2(g) → NO(g) + H2O(g) (unbalanced) The reaction is run using 824 g NH3 and excess oxygen. a. How many moles of NO are formed? b. How many moles of H2O are formed? Conversions of Mass to Amounts in Moles Sample Problem D Solution Given: mass of NH3 = 824 g Unknown: a. amount of NO produced (mol) b. amount of H2O produced (mol) Solution: Balanced Equation: 4NH3(g) + 5O2(g) → 4NO(g) + 6H2O(g) molar mass factor a. b. mol NH3 g NH3 g NH3 g NH3 mol ratio mol NO mol NH3 mol NO mol NH3 mol H2O g NH3 mol NH3 mol H2O Conversions of Mass to Amounts in Moles Sample Problem D Solution molar mass factor mol ratio a. 824 g NH3 1 mol NH3 17.04 g NH3 4 mol NO 48.4 mol NO 4 mol NH3 b. 824 g NH3 1 mol NH3 17.04 g NH3 6 mol H2O 4 mol NH3 72.5 mol H2O Mass-Mass to Calculations Mass-Mass to Calculations Sample Problem E Tin(II) fluoride, SnF2, is used in some toothpastes. It is made by the reaction of tin with hydrogen fluoride according to the following equation. Sn(s) + 2HF(g) → SnF2(s) + H2(g) How many grams of SnF2 are produced from the reaction of 30.00 g HF with Sn? Mass-Mass to Calculations Sample Problem E Solution Given: amount of HF = 30.00 g Unknown: mass of SnF2 produced (g) Solution: molar mass factor mol ratio molar mass factor mol SnF2 g SnF2 mol HF g HF g SnF2 g HF mol HF mol SnF2 1 mol SnF2 156.71 g SnF2 1 mol HF g HF 20.01 g HF 2 mol HF 1 mol SnF2 = 117.5 g SnF2 More Practice for Homework Page 320 #4-16 Lesson 3 – Limiting Reactants and Percent Yield Lesson Essential Questions: • How does the limiting reactant affect the percentage yield and actual yield in a chemical reaction? Vocabulary: limiting reactant, excess reactant, theoretical yield, actual yield, percent yield Limiting Reactants Available Ingredients • 4 slices of bread • 1 jar of peanut butter • 1/2 jar of jelly Limiting Reactant • bread Excess Reactants • peanut butter and jelly Limiting Reactants Limiting Reactant • used up in a reaction • determines the amount of product Excess Reactant • added to ensure that the other reactant is completely used up • cheaper & easier to recycle Limiting Reactants 1. Write a balanced equation. 2. Write your known and unknown. 3. For each reactant, calculate the amount of product formed. 4. Smaller answer indicates: • limiting reactant • amount of product Limiting Reactant Practice Sample Problem F on page 313. • Practice problem #1 on page 313. Sample Problem G on pages 314-315. • Practice problems #1 & 2 on page 315. Homework pg. 321 #22-25 Percent Yield measured in lab actual yield % yield 100 theoretical yield calculated on paper Percent Yield When 45.8 g of K2CO3 react with excess HCl, 46.3 g of KCl are formed. Calculate the theoretical and % yields of KCl. K2CO3 + 2HCl 2KCl + H2O + CO2 45.8 g ?g actual: 46.3 g Percent Yield K2CO3 + 2HCl 2KCl + H2O + CO2 45.8 g ?g actual: 46.3 g Theoretical Yield: 45.8 g 1 mol 2 mol 74.55 K2CO3 K2CO3 KCl g KCl = 49.4 138.21 g 1 mol 1 mol g KCl K2CO3 K2CO3 KCl Percent Yield K2CO3 + 2HCl 2KCl + H2O + CO2 45.8 g 49.4 g actual: 46.3 g Theoretical Yield = 49.4 g KCl % Yield = 46.3 g 49.4 g 100 = 93.7% Percent Yield Practice Sample problem H on page 317. • Practice problem #1 & 2 on page 318. Homework Page 321 #22-30, 31-36, 38 for the test – Worksheet titled Stoichiometry Review Problems Review Works Cited Modern Chemistry Textbook www.nclark.net http://mrsj.exofire.net/chem/