Stoichiometry Objectives 1.Identify the quantitative relationships in a balanced chemical chemical equation. 2.Determine the mole ratios from from a balanced.
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Stoichiometry Objectives 1.Identify the quantitative relationships in a balanced chemical chemical equation. 2.Determine the mole ratios from from a balanced chemical equation. 3.Explain the sequence of steps used in solving stoichiometric problems. 4.Use the steps to solve stoichiometric problems. 5.Identify the limiting reactant in a chemical equation. 6.Identify the excess reactant and calculate the amount remaining after the reaction is complete. 7.Calculate the mass of a product when the amounts of more than one reactant are given. 8.Calculate the theoretical yield of a chemical reaction from data. 9.Determine the percent yield for a chemical reaction.
The Mole (Ch 11) Chemists need a convenient method for counting accurately the number of atoms, molecules, or formula units in a sample of a substance. -atoms and molecules are extremely small -even in the smallest sample its impossible to actually count each individual atom. To fix this problem chemists created their own counting unit called the mole. -mole: commonly abbreviated mol, is the SI base unit used to measure the amount of a substance
The Mole Through experimentation, it has been established 1 mole = x representative particles. -representative particle: any particle such as atoms, molecules, formula units, electrons, or ions. -called Avogadros number in honor of the Italian physicist and lawyer Amedeo Avogadro who, in 1811, determined the volume of one mole of a gas. -we round Avogadros number to three significant figures 6.02 x If you write out Avogadros number, it looks like this:
One Mole Quantities
Other Mole & Stoichiometry Vocabulary 1. What is stoichiometry? Study of quantitative relationships among amounts of reactants and products. 2.What is a mole ratio? Ratio between the moles of any two substances in a balanced chemical equation 3. What is molar mass? Mass, in grams, of one mole of pure substance. -numerically equal to its atomic mass -has the units g/mol
Converting Moles to Particles (11.1) Determine how many particles of sucrose are in 3.50mol of sucrose. - write a conversion factor using Avogadros number that relates representative particles to moles of a substance.
Converting Particles to Moles (11.1) Now, suppose you want to find out how many moles are represented by a certain number of representative particles, such as 4.50 x atoms of zinc. -You can use the inverse of Avogadros number as a conversion factor.
Mole Practice 1 Identify and calculate the number of representative particles in each of the following quantities moles of gold mole of nitrogen oxide moles of potassium bromide Calculate the number of moles of the substance that contains the following number of representative particles x atoms of barium x molecules of carbon monoxide x formula units of potassium iodide
Practice-Homework p 311 # 1-3; p 312 # 4a-c 1.Determine the number of atoms in 2.50 mol Zn 2.Determine the number of formula units in 3.25 mol AgNO 3 3.Determine the number of molecules in 11.5 mol H 2 O 4.Determine the number of moles in a x atoms Al b x molecules CO 2 c x formula units ZnCl 2
Moles to Mass (11.2) To convert between moles and mass, you need to use the atomic mass found on the periodic table. Calculate the mass of moles of calcium. -According to the periodic table, the atomic mass of calcium is amu, so the molar mass of calcium is g/mol.
Mass to Moles (11.2) How many moles of copper are in a roll of copper that has a mass of 848g?
Practice-Homework p 316 # 11ab-12ab 11.Determine the mass in grams of a mol Al b mol Si 12.Determine the number of moles of a g Ag b g S
Mass to Atoms (11.2) To find the number of atoms in a sample, you must first determine the number of moles. Calculate the number of atoms in 4.77 g lead. 1.Determine moles
Mass to Atoms (cont.) 2. Determine atoms You can also convert from number of particles to mass by reversing the procedure above and dividing the number of particles by Avogadros number to determine the number of moles present.
Atoms to Mass Example problem 11-5, p 318 A party balloon has 5.50x10 22 atoms of helium. What is the mass in grams of the helium? 5.50x10 22 atoms He x 1 mol He = mol He 6.02 x10 23 atoms He mol He x 4.00 g He = g He 1 mol He
Mole Practice 2 How many atoms are in the following samples? g cobalt g cesium How many grams are in the following samples? x10 23 atoms of radium x atoms of cadmium
Practice-Homwork p 316 # 11ab-12ab, p 318 # 13ab-14ab
Moles of Compounds (11.3) A mole of a compound contains as many moles of each element as are indicated by the subscripts in the formula. -For example, a mole of ammonia (NH 3 ) consists of one mole of nitrogen atoms and three moles of hydrogen atoms. -the molar mass of the compound is found by adding the molar masses of all of the atoms in the representative particle. Molar mass of NH 3 = 1(molar mass of N) + 3(molar mass of H) Molar mass of NH 3 = 1( g) + 3(1.008 g) = g/mol
Practice p 322 # 25 P 318 # 13ab-14ab p Determine the molar mass of each of the following: NaOH, CaCl 2, Sr(NO 3 ) 2 p How many atoms are in a g Lib g Pb 14. What is the mass of a. 6.02x10 23 atoms Bi b. 1.00x10 24 atoms Mn
-Mole relationships from a formula (p 321) Determine the number of moles of aluminum ions in 1.25 moles of aluminum oxide (Al 2 O 3 ). First we need the ratio of Al ions to Al 2 O 3. 2 mol Al ions 1 mole Al 2 O mol Al 2 O 3 x 2 mol Al ions = 2.50 mol Al ions 1 mole Al 2 O 3
-Mole relationships from a formula (p 321) P321# Determine the number of moles of chloride ions in 2.50 mol ZnCl Calculate the number of moles of each element in 1.25 mole glucose (C 6 H 12 O 6 ).
-Mole to Mass for compounds ( p 323) What is the mass of 2.50 moles of allyl sulfide, (C 3 H 5 ) 2 S? 1.Calculate the mass of allyl sulfide. 6(12.01 g/mol) = g/mol 10(1.01 g/mol) = g/mol 1(32.07 g/mol) = g/mol g/mol
-Mole to Mass for compounds ( p 323) What is the mass of 2.50 moles of allyl sulfide, (C 3 H 5 ) 2 S? 2. Convert the moles to mass. 2.50mol (C 3 H 5 ) 2 S x g (C 3 H 5 ) 2 S 1 mol (C 3 H 5 ) 2 S = 286g (C 3 H 5 ) 2 S
Mass of Compound to Moles Calculate the number of moles of water that are in kg of water? 1. Before you can calculate moles, you must determine the molar mass of water (H 2 O). molar mass H 2 O = 2(molar mass H) + molar mass O
2. Now you can use the molar mass of water as a conversion factor to determine moles of water. -Notice kg is converted to x 10 3 g
Practice p 323 # 27-28, p 324 # 30a&b 27. What is the mass of 3.25 moles H 2 SO 4 ? 28.What is the mass of 4.35x10 -2 moles of ZnCl 2 ? 30.Determine the number of moles present in each of the following: a g AgNO 3 b g ZnSO 4
Mole Practice 3 Calculate the molar mass of the following: 1.C 2 H 5 OH 2.HCN What is the mass of the following: moles of KMnO moles of H 2 O Determine the number of moles in the following: g HCl g PbCl 4 What is the mass in grams of one molecule of the following: 7. H 2 SO 4
Percent Composition, Molecular & Empirical Formulas Recall that every chemical compound has a definite compositiona composition that is always the same wherever that compound is found. The composition of a compound is usually stated as the percent by mass of each element in the compound, using the following process.
Percent Composition Example: Determine the percent composition of calcium chloride (CaCl 2 ). 1. Determine mass of each ion in CaCl 2. -1mol CaCl 2 consists of 1mol Ca +2 ions and 2mol Cl - ions. 1mol Ca +2 ions x 40.08g Ca +2 ions = 40.08g Ca +2 ions 1mol Ca +2 ions 2mol Cl - ions x 35.45g Cl - ions = 70.90g Cl - ions 1mol Cl - ions
Percent Composition Example: Determine the percent composition of calcium chloride (CaCl 2 ). 2. Calculate molar mass of CaCl g Ca +2 ions g Cl - ions = g CaCl 2 1 mole CaCl 2 1 mole CaCl 2 3. Determine percent by mass of each element.
Percent Composition Example: Determine the percent composition of calcium chloride (CaCl 2 ). 3. Determine percent by mass of each element. % Ca = g Ca +2 x 100 = % Ca g CaCl 2 % Cl = g Cl - x 100 = % Cl g CaCl 2 4. Make sure your percent compositions equal 100% % Ca % Cl - = 100%
Practice p 331 # 43, Calculate the percent composition of sodium sulfate (Na 2 SO 4 ). 45. What is the percent composition of phosphoric acid (H 3 PO 4 ).
Empirical Formula You can use percent composition data to help identify an unknown compound by determining its empirical formula. -empirical formula-simplest whole-number ratio of atoms of elements in the compound. ~In many cases, the empirical formula is the actual formula for the compound. the empirical formula of sodium chloride is Na 1 Cl 1, or NaCl, which is the true formula ~sometimes, the empirical formula is not the actual formula of the compound. the empirical formula for N 2 O 4 (the actual) is NO 2.
Empirical Formula Example: The percent composition of an unknown compound is found to be 38.43% Mn, 16.80% C, and 44.77% O. Determine the compounds empirical formula. - Because percent means parts per hundred parts, assume that you have 100 g of the compound. 1. Calculate the number of moles of each element in the 100 g of compound.
Empirical Formula Example: The percent composition of an unknown compound is found to be 38.43% Mn, 16.80% C, and 44.77% O. Determine the compounds empirical formula. 1. Calculate the number of moles of each element in the 100 g of compound.
Empirical Formula Example: The percent composition of an unknown compound is found to be 38.43% Mn, 16.80% C, and 44.77% O. Determine the compounds empirical formula. 2. The results show the following relationship 3. Obtain the simplest whole-number ratio of moles: -divide each number of moles by the smallest number of moles mol Mn : mol C : mol O mol mol mol 1 : 2 : 4
Empirical Formula Example: The percent composition of an unknown compound is found to be 38.43% Mn, 16.80% C, and 44.77% O. Determine the compounds empirical formula. 3. Obtain the simplest whole-number ratio of moles: Mn : C : O 1 : 2 : 4 4. Determine the empirical formula. MnC 2 O 4
Practice p 333 # A blue solid is found to contain 36.84% N and 63.16% O. What is the empirical formula? 47.Determine the empirical formula for a compound that contains 35.98% Al and 64.02% S.
Molecular Formula For many compounds, the empirical formula is not the true formula. -Chemists have learned, though, that acetic acid is a molecule with the formula C 2 H 4 O 2, which is the molecular formula for acetic acid. -molecular formula tells the exact number of atoms of each element in a molecule or formula unit of a compound. Notice the molecular formula for acetic acid (C 2 H 4 O 2 ) has exactly twice as many atoms of each element as the empirical formula (CH 2 O). -The molecular formula is always a whole-number multiple of the empirical formula.
Molecular Formula Example: Determine the molecular formula for maleic acid, which has a molar mass of 116.1g/mol. 1. empirical formula of the compound - composition of maleic acid is 41.39% C, 3.47% H, and 55.14% O (change the % to g)
Molecular Formula Example: Determine the molecular formula for maleic acid. 1. empirical formula of the compound -the ratio of C:H:O is 1:1:1, making the empirical formula CHO 2. calculate the molar mass of CHO (empirical formula) g/mol 3. Determine the molecular formula for maleic acid,
Molecular Formula Example: Determine the molecular formula for maleic acid. 3. Determine the molecular formula for maleic acid, -shows the molar mass of maleic acid is 4x that of CHO. 4. Multiply CHO by 4 to get C 4 H 4 O 4
Practice p 335 # 51, A substance has a chemical composition of 65.45% C, 5.45% H and 29.09% O. The molar mass of the molecular formula is g/mol. Determine the molecular formula. 53. A compound contains % N and % O. It has a molar mass of g/mol. What is the molecular formula?
Empirical Formula from Mass You can also calculate the empirical formula of a compound from mass of individual elements. Example: Determine the empirical formula for ilmenite, which contains 5.41g Fe, 4.64g Ti and 4.65g O. 1. Multiply the mass by molar mass to get moles 5.41g Fe x 1 mol Fe = mol Fe g Fe 4.64g Ti x 1 mol Ti = mol Ti 47.88g Ti 4.65g O x 1 mol O = mol O 16.00g O
Empirical Formula from Mass Example: Determine the empirical formula for ilmenite, which contains 5.41g Fe, 4.64g Ti and 4.65g O. 2. Multiply by the smallest number to get the mole ratio mol Fe : mol Ti : mol O mol mol mol 1 : 1 : 3 3. Calculate the empirical formula. FeTiO 3
Practice p 337 # 54-55
Stoichiometry Practice – Conservation of Mass For the following balanced chemical equations, determine all possible mole ratios. 1.HCl(aq) + KOH(aq) KCl(aq) + H 2 O(l) 2. 2Mg(s) + O 2 (g) 2MgO(s) 3.2HgO(s) 2Hg(l) + O 2 (g)
Stoichiometric Calculations Many times we need to determine a certain amount of product from a reaction or want to know how much product will form from a given amount of reactant. To do this you need: 1. Balanced chemical equations 2. Mole ratios Moles of known x moles of unknown = moles of known
Stoichiometric Calculations: mole-mole Example: If you put mol of K into water, how much hydrogen gas will be produced? 2K(s) + 2H 2 O(l) 2KOH(aq) +H 2 (g) Mole ratio between K and KOH is 2 mol K or 1 mol H 2 1 mol H 2 2 mol K moles of known x moles of unknown moles of known mol K x 1 mol H 2 = 2 mol K mol H 2
Stoichiometric Calculations Practice 1.How many moles of carbon dioxide are produced when 10.0 moles of propane (C 3 H 8 ) are burned in excess oxygen in a gas grill. Water is also a product. 2. Sulfuric acid is formed when sulfur dioxide reacts with oxygen and water. Write the balanced chemical equation for the reaction. If 12.5 mol SO 2 reacts, how many moles H 2 SO 4 can be produced? How many mole O 2 is needed?
Practice p 357 #3a, p 359 #10 3a. Balance the following and determine the possible mole ratios: ZnO(s) + HCl(aq) ZnCl 2 (aq) + H 2 O(l) 10. CH 4 (g) + S 8 (s) CS 2 (l) + H 2 S(g) a. Balance the equation. b. Calculate moles of CS 2 produced when 1.50 mol S 8 is used. c. How many mol H 2 S is produced?
Stoichiometric Calculations: mole-mass Example: If you put mol of K into water, how many grams of hydrogen gas will be produced? 2K(s) + 2H 2 O(l) 2KOH(aq) +H 2 (g) Mole ratio between K and KOH is 2 mol K or 1 mol H 2 1 mol H 2 2 mol K mol K x 1 mol H 2 = 2 mol K mol H mol H 2 x 2.02 g H 2 = 1 mol H g H 2
Practice p 360 # If you begin with 1.25 mol TiO 2, what mass of Cl 2 is needed? TiO 2 + C + Cl 2 TiCl 4 + CO Sodium chloride is decomposed into the elements sodium and chlorine by means of electrical energy. How many grams of chlorine gas are produced from 2.50 mol sodium chloride?
Stoichiometric Calculations: mass-mass Example: If you put 15g of K into water, how many grams of hydrogen gas will be produced? 2K(s) + 2H 2 O(l) 2KOH(aq) +H 2 (g) Mole ratio between K and KOH is 2 mol K or 1 mol H 2 1 mol H 2 2 mol K mol K x 1 mol H 2 = 2 mol K mol H 2 15 g K x 1 mol K = mol K g K mol H 2 x 2.02 g H 2 = 1 mol H g H 2
Practice p 361 # Determine the mass of N 2 produced if 100.0g NaN 3 is decomposed. NaN 3 (s) Na(s) + N 2 (g) 14. If 2.50 g sulfur dioxide reacts with excess oxygen and water, how many grams of sulfuric acid are produced?
Stoichiometric Review 1.Why is a balanced chemical equation needed in solving stoichiometric calculations? 2.When solving stoichiometric problems, how is the correct mole ratio expressed? 3.List the steps in solving stoichiometric equations. 4.How many grams of zinc (II) chloride can be obtained in 50.0 g of zinc reacts completely in the following reaction: Zn + 2HCl ZnCl 2 + H 2 5.How many grams of KCl is produced when mol of KClO 3 decomposes in the following reaction: 2KClO 3 + heat 2KCl + 3O 2
Extra Practice p #61, 64, 70
Limiting Reactants Rarely are the reactants in a chemical reaction present in the exact mole ratios specified in the balanced equation. -usually, one or more of the reactants are present in excess, and the reaction proceeds until all of one reactant is used up. -the reactant that is used up is called the limiting reactant The limiting reactant limits the reaction and, thus, determines how much of the product forms. - The left-over reactants are called excess reactants
Limiting Reactants In the reaction below, 40.0 g of sodium hydroxide (NaOH) reacts with 60.0 g of sulfuric acid (H 2 SO 4 ). a. Calculate the limiting reactant b. Determine the reactant in excess c. Calculate the mass of water produced d. Calculate the mass of reactant in excess.
Limiting Reactants In the reaction below, 40.0 g of sodium hydroxide (NaOH) reacts with 60.0 g of sulfuric acid (H 2 SO 4 ). a. Calculate the limiting reactant 1. calculate the actual number of moles of reactants
Limiting Reactants In the reaction below, 40.0 g of sodium hydroxide (NaOH) reacts with 60.0 g of sulfuric acid (H 2 SO 4 ). a. determine the limiting reactant 2. look at the actual ratio to the available ratio. ~actual ratio = 1.00 mol NaOH mol H 2 SO 4 ~available ratio = 2.00 mol NaOH = 1.00 mol NaOH 1.00 mol H 2 SO mol H 2 SO 4 You can see that when mol H 2 SO 4 has reacted, all of the 1.00 mol of NaOH would be used up. -NaOH is the limiting reactant
Limiting Reactants In the reaction below, 40.0 g of sodium hydroxide (NaOH) reacts with 60.0 g of sulfuric acid (H 2 SO 4 ). b. determine the reactant in excess -since NaOH is the limiting reactant, H 2 SO 4 is the reactant in excess c. calculate the mass of sodium sulfate produced -use the limiting reactant 1.00mol NaOH x 1.00mol Na 2 SO 4 x 142g Na 2 SO 4 = 71.0g Na 2 SO mol NaOH 1.00mol Na 2 SO 4
Limiting Reactants In the reaction below, 40.0 g of sodium hydroxide (NaOH) reacts with 60.0 g of sulfuric acid (H 2 SO 4 ). d. calculate the mass of reactant in excess -use NaOH, the limiting reactant to determine moles and mass of H 2 SO 4 used ~ 1.00mol NaOH x 1.00mol H 2 SO 4 x 98.09g H 2 SO = 49.05g H 2 SO mol NaOH 1.00mol H 2 SO 4 -subtract the mass needed from the mass available. 60.0g H 2 SO 4 – 49.05g H 2 SO 4 = 11.0g H 2 SO 4 in excess
Practice p 368 # 20-21
Percent Yield Most reactions never succeed in producing the predicted amount of product. -not every reaction goes cleanly or completely liquids may stick to surfaces of containers liquids may vaporize/evaporate solids may be left behind on filter paper solids may be lost in the purification process sometimes unintended products form The amount you have been calculating so far has been the theoretical yield, the maximum amount of product that can be produced from a given amount of reactant.
Percent Yield A chemical reaction rarely produces the theoretical yield. -actual yield is the amount of product produced in the chemical reaction We can measure the efficiency of the reaction by calculating the percent yield. -percent yield (% yield) of the product is the ratio of actual yield to the theoretical yield, expressed as a percent. % yield = actual yield (from the experiment) x 100 theoretical yield (from calculations)
Percent Yield When potassium chromate is added to a solution containing g of silver nitrate, solid silver chromate is formed. a. Determine the theoretical yield of silver chromate b. If g of silver chromate is actually obtained, calculate the percent yield.