STOICHIOMETRY 436 5.6 – To determine, using stoichiometric calculations, the quantity of a substance involved in a chemical reaction. 5.8 – To solve numerical problems related to stoichiometry. A mole is the amount of substance that contains 6.02 x 1023 particles of that substance n (moles) = mass of substance (g) molar mass of substance (g/mol) Stoichiometry: uses ratios of a chemical reaction to determine the amounts of elements/ compounds (reactants & products) involved in a chemical change Magnesium metal reacts with oxygen to produce magnesium oxide. 2Mg + O2 2MgO 2 : 1 : 2 Mole Ratio – describes the ratio in which the substances combine Ex. for every 2 Mg, 1 O2 needed used to predict what will happen Ex. for every 2 Mg & 1 O2, 2 MgO will be produced 4 moles of magnesium metal reacts with oxygen to produce magnesium oxide. How many moles of MgO are produced? Mole Ratio 2Mg + O2 2MgO 2 : 1 : 2 from mole ratio Set up ratio 2 moles Mg 4 moles Mg from question = 2 moles MgO ? moles MgO Solve by cross multiplying 2 moles Mg 4 moles Mg = 2 moles MgO ? moles MgO 4x2÷2 4 moles MgO are produced Iron metal reacts with oxygen to produce 3 moles of iron (III) oxide. How many moles of oxygen were needed in the reaction? Mole Ratio 4Fe + 3O2 2Fe2O3 4 : 3 2 from mole ratio Set up ratio 3 moles O2 ? moles O2 from question : = 2 moles Fe2O3 3 moles Fe2O3 Solve by cross multiplying 3 moles O2 ? moles O2 = 2 moles Fe2O3 3 moles Fe2O3 3x3÷2 4.5 moles O2 are needed How many moles of nitrogen gas & hydrogen gas are required to make 7.5 mol of ammonia? N2 + 3H2 2NH3 1 : 3 2 : Solve for moles of N2: 1 mole N2 ? moles N2 = 11.25 moles H2 2 moles NH3 7.5 moles NH3 3.75 moles N2 are required are required Solve for moles of H2: 3 mole H2 ? moles H2 = 2 moles NH3 7.5 moles NH3 We can now add mass into problems involving stoichiometry. Recall, n (moles) = mass of substance (g) molar mass of substance (g/mol) How many moles are in 12.5g of Ca? n (moles) = 12.5g 40g/mol 0.3125 mol of Ca How many moles are in 2.4g of NO2? n (moles) = 2.4g 46g/mol 0.052 mol of NO2 How many moles of Li are needed to react with fluorine gas to make 435g of lithium fluoride? 2Li + F2 2LiF 2 1 : 2 : Solve for moles of LiF: n (moles) = 435g 26g/mol 16.73 mol of LiF Solve for moles of Li: 2 moles Li ? moles Li = 2 moles LiF 16.73 mol LiF 16.73 moles Li are needed How many grams of NaClO3 must be decomposed to produce sodium chloride & 1.65 moles of oxygen? 2NaClO3 2 : 2NaCl 2 + : 3O2 3 Solve for moles of NaClO3: 2 mol NaClO3 ? mol NaClO3 = 3 mol O2 1.65 mol O2 1.1 mol of NaClO3 Solve for mass of NaClO3: 1.1 mol = ?g 106 g/mol 116.6g of NaClO3 3g of magnesium react with how many grams of hydrochloric acid to produce hydrogen gas & magnesium chloride? Mg + 1 : 2HCl 2 Solve for moles of Mg: n = 3g 24 g/mol 0.125 mol of Mg Solve for moles of HCl: 1 mol Mg = 2 mol HCl 0.125 mol Mg ? mol HCl : MgCl2 1 + : H2 1 Solve for mass of HCl: 0.25mol = ? g 36 g/mol 9g of HCl 0.25 mol of HCl Always find moles first!!! n (moles) = mass of substance (g) molar mass of substance (g/mol) Use mole ratio to find the moles of each reactant & product Remember, the equation must be balanced to give you the mole ratio Worksheet #