Unit 12 Stoichiometry 1 Stoichiometry describing the relative quantities of reactants, products and energy in a chemical reaction http://visual.ly/chocolate-chip-cookies Amedeo Avogadro ? quadrillions thousands trillions billions millions 1 mole = 602213673600000000000000 or 6.02 x 1023 How Big is a Mole? One mole of marbles would cover the entire Earth (oceans included) for a depth of two miles. One mole of $1 bills stacked one on top of another would reach from the Sun to Pluto and back 7.5 million times. It would take light 9500 years to travel from the bottom to the top of a stack of 1 mole of $1 bill Calculator tip To enter 6.02 x 1023 Option 1: (6.02 2nd Option 2: (6.02 x 10 , 23) 23) The parentheses are important! Practice: What is 6.02 x 1023 multiplied by 5? Reminders STAAR Chart Remember Sig Figs! Molar Mass Al2O3 = 2(27.0) + 3(16.0) = 102.0 g/mol Conversion 56.0 g Al2O3 = ? moles Al2O3 • 56.0 g Al2O3 x 1 mol Al2O3 102.0 g Al2O3 = 0.549 • Reminder: units should match and then cancel on the diagonal! • Calculator help: (56.0 x 1) (102.0) Mass, Volume, Mole Relationship Mole Conversion Practice 1. A sample of carbon dioxide gas has a volume of 75.9 liters. How many moles of carbon dioxide gas is this? Mole Conversion Practice 2. You have a 4.26 mole sample of magnesium nitrate. How many grams does your sample contain? Mole Conversion Practice 3. You have a 7.56 mole sample of sodium chloride. Convert this to determine the number of sodium chloride formula units (particles) you have. Mole Ratio In a balanced chemical equation, the coefficients describe the mole ratio. 2 H2 + 1O2 2 H2O The mole ratios for this equation are: 2 mole H2: 1 mole O2 2 mole H2: 2 mole H2O 1 mole O2: 2 mole H2O Balancing Equations Practice 1. Fe + S8 FeS 2. Na2O + H2O NaOH 3. NH3 + O2 NO + H2O Stoichiometry Island Diagram Known Unknown Substance A Substance B M Mass Mass Mountain Mass Mole Island Liter Lagoon V Volume Mole Mole Volume Particles Particles P Particle Place Stoichiometry Island Diagram Stoichiometry Island Diagram Mass Volume Known Unknown Substance A Substance B Mass 1 mole = 22.4 L @ STP (gases) Use coefficients from balanced Mole Mole chemical equation 1 mole = 22.4 L @ STP Volume (gases) Particles Particles Stoichiometry Island Diagram Practice 1: How many molecules of chlorine are required to form 100. grams of sodium chloride? Na + Cl2 NaCl + 441 kJ 1st: balance the equation 2nd: write the info from the word problem above the equation 3rd: use mole island diagram to map out your steps 4th: use dimensional analysis and mole ratios to solve 1st: balance the equation Na + Cl2 NaCl + 441 kJ 2nd: write the info from the word problem above the equation How many molecules of chlorine are required to form 100.g sodium chloride? ?molecules 100.g 2 Na + Cl2 2 NaCl + 441 kJ 3rd: use mole island diagram to map out your steps Stoichiometry Island Diagram 100. g Mass Known Unknown Substance A Substance B NaCl 1 Volume 1 mole = 22.4 L @ STP Mass Cl2 Use coefficients from balanced chemical equation Mole Mole 1 mole = 22.4 L @ STP Volume (gases) (gases) 2 3 ? molecules Particles Particles Stoichiometry Island Diagram 4th: use dimensional analysis and mole ratios to solve ?molecules 100.g unknown known 2 Na + Cl2 2 NaCl + 441 kJ known 1 2 3 100.g NaCl x 1 mole NaCl x 1 mole Cl2 x (6.02 x 1023) molecules Cl2 = 58.5 g NaCl 2 mole NaCl 1 mole Cl2 Here’s how you set that up: (100 x 1 x 1 x 6.02 x 1023) (58.5 x 2 x 1) = How many grams of KClO3 are required to produce 9.00 L of O2 at STP? 2KClO3 2KCl + 3O2 ?g 9.00 L 9.00 L O2 1 mol O2 2 mol KClO3 122.55 g KClO3 22.4 L O2 3 mol O2 1 mol KClO3 x g KClO3 = 9.00 L O2 O2 1 mol O2 22.4 L O2 2 mol KClO3 3 mol O2 KClO3 Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem 122.55 g KClO3 1 mol KClO3 = 32.8 g KClO3 32.8 g = 32.8 g KClO3 How many grams of silver will be formed from 12.0 g copper? Cu + 2 AgNO3 2 Ag + Cu(NO3)2 12.0 g 12.0 g Cu ?g 1 mol Cu 63.55 g Cu x g Ag = 12.0 g Cu Cu 2 mol Ag 1 mol Cu 1 mol Cu 63.55 g Cu 107.87 g Ag 1 mol Ag 2 mol Ag 1 mol Cu Ag Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem 107.87 g Ag 1 mol Ag = 40.7 g Ag 40.7 g = 40.7 g Ag Practice 2: How many grams of Na will be needed to react with 10.L of Cl2 gas at STP? 2Na + Cl2 2NaCl + 441 kJ Practice 2: How many grams of Na will be needed to react with 10.L of Cl2 gas at STP? 2Na + Cl2 2NaCl + 441 kJ Known Mass Volume 1 mole = 22.4 L @ STP Substance A Unknown Substance B Mass Use coefficients from balanced chemical equation Mole Mole 1 mole = 22.4 L @ STP Volume (gases) (gases) Particles Particles Practice 3: Carbon reacts with sulfur dioxide to form carbon disulfide and carbon monoxide in an exothermic reaction that releases 160 kJ. How many moles of CS2 form when 6.0 moles of C reacts with excess SO2? Practice 3: Carbon reacts with sulfur dioxide to form carbon disulfide and carbon monoxide in an exothermic reaction that releases 160 kJ How many grams of carbon are needed to form 56.0 grams of CS2? Actual and Theoretical Yields • Theoretical Yield: calculated amount of products + A C B 5g A + 5g B 10g C • Actual Yield: amount of product formed in laboratory experiment A In a lab: + B 5g A + 5g B C 8g C Calculating Percent Yield • Percent Yield: indicates how much of expected product was obtained in a reaction Theoretical yield: 10 g Actual yield: 8g ( ) Percent yield = 8g (100) = 80% yield 10 g Percent Yield Practice