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Unit 3: Stoichiometry Be able to write chemical equations in words and symbols: ➢ Example : Fe S (s) + 6HCl (g) → 2FeCl (s) + 3H S (g) 2 3 3 2 ○ Solid iron (III) sulfide reacts with gaseous hydrogen chloride to form solid iron (III) chloride and hydrogen sulphide gas Be able to balance chemical equations and know why balancing is important: ➢ Equations should be balanced in order to satisfy the law of conservation of mass (matter can neither be created nor destroyed, just changed in form) - same # of each kind of atom on both sides of the equation ➢ When balancing: never start w/ H or O , treat polyatomic ions as chunks not separate atoms, and if there is an 2 odd # of atoms on one side and an even # of those atoms on the other, place a 2 as a coefficient next to the chemical formula with the odd #s to make it even; Example : __Cr + __S → __Cr S 8 2 3 Understand and be able to apply the concept of the mole in chemical calc. (Avogadro's number): ➢ 1 Mol = 6.022x1023 representative particles (element = atoms, molecular compound = molecules, ionic compound = formula units) = Avogadro’s number (6.022x1023 ) ➢ Mass of 1 mol of substance = molar mass (g); for elements, it is the amount in grams numerically equal to the atomic mass in amu’s ○ Atomic Mass (AMU) (mass of 1 atom of substance) = Molar Mass (g) (mass of 1 mol of substance) ➢ Molar Mass = M = grams/mol ○ Example : How many hydrogen atoms are in 72.5g of C H O? 3 8 ■ Convert g of C H O to mol of C H O and then there are 8 mols of H in 1 mol of C H O and 3 8 3 8 3 8 there are 6.022x1023 atoms of H in 1 mol of H; Ans . 5.81x1024 atoms H ➢ Percent Composition : percent that each element in a compound is composed of ○ Calculate the M of the compound and then, divide the total mass of each element by the total mass of the compound, multiply by 100 ○ Example : Calculate the percent composition of water in the hydrate, CaSO . 2H 0. 4 2 ■ Hydrate = ionic compound + water trapped in crystal ; Anhydrate = ionic compound on the product side of the equation ; Hydrate-Anhydrate = mass of H O Ans . 20.93% 2 Understand and be able to apply the concept of stoichiometric coefficients relating to reacting ratios ➢ Meaning of coefficients in a chemical equation: used to describe a reaction in moles, and particles (molecules, formula units and atoms) but NOT grams. ➢ Mole ratio : conversion factor between 2 different amts. in a balanced chemical equation; 2KClO →2KCl+3O 3 2 ○ Mole ratios: 2 mol KClO = 2 mol KCl OR 2 mol KCl = 3 mol O O R 2 mol KClO = 3 2 3 3 mol O 2 ➢ Stoichiometry : given an amount of either reactant or product, you can determine the other quantities in a reaction using dimensional analysis ➢ Example : A 25.5g sample of potassium chlorate is decomposed. How many moles of O are produced? 2 ○ Write a balanced chemical equation, convert g of KClO to moles of KClO and use mole ratio from 3 3 coefficients of compounds to get moles of O Ans . 0.312 mol O 2 2 Be able to calculate empirical formula from percentage by mass data: ➢ Empirical Formula: the lowest whole number ratio of atoms in a chemical formula ○ From % composition, empirical formula can be determined using mole ratios ○ Percent to mass, mass to mole, divide by small, multiply till whole ■ Use the percentages as mass measurements out of 100 g. Convert these masses to mole amounts. Divide each mole amount by the smallest mole value present. If the answers are not already within .1 of a whole number, multiply them by whole numbers until they are within .1 of a whole number. ○ Example : A compound has the following percent composition: 31.9% K, 29.0% Cl, and 39.1% O. What is the empirical formula? Ans. KClO₃ Be able to convert empirical formulae to molecular formulae: ➢ Molecular Formula: actual ratio of the molecule that exists ○ Find the molar mass of the molecular formula and the empirical formula and divide the molecular formula mass by the empirical formula mass to get a whole number to multiply the subscripts of the empirical formula ○ Example : A compound has an empirical formula of NO . A liquid has a molar mass of 92.0 g/mole. 2 What is the molecular formula of this substance? Ans. N₂ O₄ Be able to use combustion data to calculate empirical formulae of compounds: ➢ Empirical Formula from Combustion Analysis: ○ Combustion equation: C H + O → CO + H O x y 2 2 2 ○ Use the mass of CO to convert to moles of CO to moles of C to grams of C 2 2 ○ Use the mass of H O to convert to moles of H O 2 2 to moles of H to grams of H ○ Subtract the combined mass of C and H from the mass of the sample to get the mass of oxygen and convert it to moles ○ Simplify the mole ratios of C, H and O to get the empirical formula ○ Example : Calculate the empirical formula for the combustion of 11.5g ethanol. 22.0g CO and 13.5g 2 H O are produced in the reaction. 2 Understand, and be able to apply, the concept of a limiting reagent: ➢ Limiting Reagent - reactant that determines the amount of product formed (one that you run out of first) ○ Limiting reagent problems deal with 2 given amounts of reactants (given in mole or g) ○ Example: 124.0g of Al are reacted with 601.0g of Fe O . Calculate the mass of Al O formed. 2 3 2 3 Understand, and be able to apply, the concept of percentage yield: ➢ Percent Yield : the ratio in percent of amount of product you produced in the lab compared to the amount of product that you should have produced if the reaction went to completion and no problems arose in the lab. ○ Must ALWAYS use Limiting Reagent to determine the product produced ○ Theoretical yield : the amount you would produce if everything went perfectly ■ Use the balanced chemical equation to calculate ○ Experimental Yield : the actual amount you make in lab under imperfect conditions ■ Percent Yield = Actual (what you got) / Theoretical (what you should have got) * 100 ■ Example : Al burns in Br to produce AlBr . In a lab, 6.0g of Al reacts with excess Br . 50.3g of 2 3 2 AlBr are produced. What is the percent yield? Ans. 85% 3 ➢ Hydrate = ionic compound + water trapped in crystal ; Anhydrate = ionic compound on the product side of the equation ; Hydrate-Anhydrate = mass of H O 2 ➢ A gas occupies 22.4L of Volume at STP ➢ Example: CuCl when heated to 100o C is dehydrated. If 0.235g of CuCl . xH O gives 0.185g of CuCl on heating, 2 2 2 2 what is the value of x? ➢ Example: Solutions of sulfuric acid and lead (II) acetate react to form solid lead (II) sulfate and acetic acid. If 7.50g of acid and 7.50g of lead (II) acetate are mixed, calculate the number of grams of each reactant and product present after the reaction is completed. ➢ Example: When H S gas is bubbled into a soln. of NaOH, the reaction forms Na S and H O. How many grams 2 2 2 of Na S are formed if the soln. used contains 2.00g of NaOH and the reaction has a 92.0% yield. How many 2 molecules of H S reacted 2