Stoichiometry Level 2 Stoichiometry with Gases • If the pressure and temperature are constant, the ratio of moles in the balanced equation is the ratio of liters in an all gas reaction. • At STP 1 mole of gas occupies 22.4 L – 1 mole = 22.4 L Molar Volume • In the following reaction, if 17 g of Mg react, how many L of H2 forms? Mg (s) + HCl (aq) MgCl2 (aq) + H2 (g) 17.0 g Mg 1 mol Mg 1 mol = 15.7 L H2 22.4 L H2 24.31 g 1 mol Mg Mg 1 mol H2 H2 Molar Volume Problems • How many grams of KClO3 are req’d 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 122.55 KClO3 g KClO3 22.4 L O2 3 mol O2 1 mol KClO3 = 32.8 g KClO3 Energy & Stoichiometry Exothermic and Endothermic • Exothermic process – heat is released into the surroundings – Exo = Exit HEAT • Endothermic Process – heat is absorbed from the surroundings – Endo = Into HEAT Thermochemical Equations • In a thermochemical equation, the energy of change for the reaction can be written as either a reactant or a product • Enthalpy: the heat content of a system at constant pressure (ΔH) • Endothermic (positive ΔH) 2NaHCO3 + 129kJ Na2CO3 + H2O + CO2 • Exothermic (negative ΔH) CaO + H2O Ca(OH)2 + 65.2kJ Write the thermochemical equation for the oxidation of Iron (III) if its ΔH= -1652 kJ Exo 4Fe(s) + 3 O2(g)→ 2 Fe2O3(s) + 1652 kJ How much heat is evolved when 10.00g of Iron is reacted with excess oxygen? 10.00g Fe 1 mol 55.85g Fe 1652 kJ 4 mol Fe =73.97 kJ of heat Write the thermochemical equation for the decomposition of sodium bicarbonate, with a ΔH = + 129 kJ: Endo 2 NaHCO3 + 129kJ → Na2CO3(s) + H2O + CO2 How much heat is required to break down 50.0g of sodium bicarbonate? 50.0 g NaHCO3 1 mol NaHCO3 129 kJ 83.9 g NaHCO3 2 mol NaHCO3 =38.4 kJ of heat Write the thermochemical equation for a single replacement of calcium oxide and water with a ΔH= 65.2 kJ: Exo CaO + H2O → Ca(OH)2 + 65.2kJ How much energy is released when 100 g of calcium oxide reacts? 100 g CaO 1 mol CaO 65.2 kJ 56.07 g CaO 1 mol CaO =116 kJ of heat Write the thermochemical equation for the decomposition of magnesium oxide with a 61.5 kJ: Endo ΔH= + 2 MgO + 61.5 → 2 Mg + O2 How many grams of oxygen are produced when magnesium oxide is decomposed by adding 420 kJ of Energy? 420 kJ 1 mol O2 61.5 kJ 31.98 g O2 =218 g of O 2 1 mol O2