Chemical Stoichiometry Stoichiometry - The study of quantities of materials consumed and produced in chemical reactions. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 1 Atomic Masses Elements occur in nature as mixtures of isotopes Carbon = 98.89% 12C 1.11% 13C <0.01% 14C Carbon atomic mass = 12.01 amu Copyright©2000 by Houghton Mifflin Company. All rights reserved. 2 The Mole The number equal to the number of carbon atoms in exactly 12 grams of pure 12C. 1 mole of anything = 6.022 1023 units of that thing Copyright©2000 by Houghton Mifflin Company. All rights reserved. 3 Avogadro’s number equals 23 6.022 10 units Copyright©2000 by Houghton Mifflin Company. All rights reserved. 4 Molar Mass A substance’s molar mass (molecular weight) is the mass in grams of one mole of the compound. CO2 = 44.01 grams per mole Copyright©2000 by Houghton Mifflin Company. All rights reserved. 5 Exercise 3.2 3.4 Molar Mass, molecular weight (correct formula), formula weight – all the same, just a language problem (“molecular implies covalent bonding while “formula implies ionic bonding.) {It’s a giant conspiracy designed to keep the uneducated from ever understanding chemistry – kind of like the scoring system in tennis. 3.7 6 Diatomics The –gens H, N, O, and halogens Copyright©2000 by Houghton Mifflin Company. All rights reserved. 7 Percent Composition Mass percent of an element: mass of element in compound mass % 100% mass of compound For iron in iron (III) oxide, (Fe2O3) 111.69 mass % Fe 100% 69.94% 159.69 Copyright©2000 by Houghton Mifflin Company. All rights reserved. 8 Exercise 3.10 Penicillin, the first of a now large number of antibiotics (antibacterial agents), was discovered accidentally by the Scottish bacteriologist Alexander Fleming in 1928, but he was never able to isolate it as a pure compound. This and similar antibiotics have saved millions of lives that might have been lost to infections. Penicillin F has the formula C14H20N2SO4. Compute the mass 9 percent of oxygen. Formulas molecular formula = (empirical formula)n [n = integer] molecular formula = C6H6 = (CH)6 empirical formula = CH Copyright©2000 by Houghton Mifflin Company. All rights reserved. 10 Empirical Formula Determination 1. Base calculation on 100 grams of compound. 2. Determine moles of each element in 100 grams of compound. 3. Divide each value of moles by the smallest of the values. 4. Multiply each number by an integer to obtain all whole numbers. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 11 Determining Empirical and Molecular Formulas I Exercise 3.11 71.65%C1 24.27%C 4.07% H The molar mass is known to be 98.96 g/mol. Exercise 3.13 Caffeine, a stimulant found in coffee, tea, and chocolate, contains 49.48% carbon, 5.15% hydrogen, 28.87% nitrogen, and 16.49% oxygen by mass and has a molar mass of 194.2 g/mol. Determine the molecular formula of caffeine. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 12 Chemical Equations Chemical change involves a reorganization of the atoms in one or more substances. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 13 Chemical Equation A representation of a chemical reaction: C2H5OH + 3O2 2CO2 + 3H2O reactants products Copyright©2000 by Houghton Mifflin Company. All rights reserved. 14 Chemical Equation C2H5OH + 3O2 2CO2 + 3H2O The equation is balanced. 1 mole of ethanol reacts with 3 moles of oxygen to produce 2 moles of carbon dioxide and 3 moles of water Copyright©2000 by Houghton Mifflin Company. All rights reserved. 15 Balancing a Chemical Equation I Exercise 3.14 When solid ammonium dichromate a vivid orange compound, is ignited, a spectacular reaction occurs. Although the reaction is actually somewhat more complex, let’s assume here that the products are solid chromium(III) oxide, nitrogen gas, and water vapor. Balance the equation for this reaction. Exercise 3.15 16 Solving a Stoichiometry Problem 1. 2. 3. 4. Balance the equation. Convert masses to moles. Determine which reactant is limiting. Use moles of limiting reactant and mole ratios to find moles of desired product. 5. Convert from moles to grams. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 17 Exercise 3.16 Solid lithium hydroxide is used in space vehicles to remove exhaled carbon dioxide from the living environment by forming solid lithium carbonate and liquid water. What mass of gaseous carbon dioxide can be absorbed by 1.00 kg of lithium hydroxide? Copyright©2000 by Houghton Mifflin Company. All rights reserved. 18 Exercise 3.17 Baking soda (NaHCO3) is often used as an antacid. It neutralizes excess hydrochloric acid secreted by the stomach: NaHCO3(s) + HC1(aq) → NaC1(aq) + H2O(l) + CO2(aq) Milk of magnesia, which is an aqueous suspension of magnesium hydroxide, is also used as an antacid: Mg(OH)2(s) + 2HC1(aq) → 2H2O(l) + MgC12(aq) Which is the more effective antacid per gram, NaHCO3 or Mg(OH)2 ? . 19 Limiting Reactant The limiting reactant is the reactant that is consumed first, limiting the amounts of products formed. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 20 Exercise 3.18 Nitrogen gas can be prepared by passing gaseous ammonia over solid copper(II) oxide at high temperatures. The other products of the reaction are solid copper and water vapor. If a sample containing 18.1 g of NH3 is reacted with 90.4 g of CuO, which is the limiting reactant ? How many grams of N2 will be formed? Copyright©2000 by Houghton Mifflin Company. All rights reserved. 21 Percent yield: The ratio of actual to theoretical yield. Actual Yield × 100% = Percent yield Theoretical Yield Copyright©2000 by Houghton Mifflin Company. All rights reserved. 22 Exercise 3.19 Methanol (CH3OH), also called methyl alcohol, is the simplest alcohol. It is used as a fuel in race cars and is a potential replacement for gasoline. Methanol can be manufactured by combination of gaseous carbon monoxide and hydrogen. Suppose 68.5 kg CO(g) is reacted with 8.60 kg H2(g). Calculate the theoretical yield of methanol. If 3.57 × 104 g CH3OH is actually produced, what is the percent yield of methanol ? Copyright©2000 by Houghton Mifflin Company. All rights reserved. 23