Spring Final Exam Stoichiometry Review Molar Mass the mass of one mole of a substance PbO2 HNO3 Pb: 1 (207.2 g) = 207.2 g O: 2 (16.0 g) = 32.0 g H: 1 (1.0 g) = 1.0 g N: 1 (14.0 g) = 14.0 g O: 3 (16.0 g) = 48.0 g 239.3 g 63.0 g percentage composition: the mass % of each element in a compound g element x 100 % of element = molar mass of compound Find % composition. PbO2 (NH4)3PO4 (see calcs above) 207.2 g Pb : 239.2 g = 86.6% Pb 32.0 g O : 239.2 g = 13.4% O 42.0 g N 12.0 g H 31.2 g P 64.0 g O : 149.0 g : 149.0 g : 149.0 g : 149.0 g = = = = 28.2% N 8.1% H 20.8% P 43.0% O Finding an Empirical Formula from Experimental Data 1. Find # of g of each element. 2. Convert each g to mol. 3. Divide each “# of mol” by the smallest “# of mol.” 4. Use ratio to find formula. A compound is 45.5% yttrium and 54.5% chlorine. Find its empirical formula. 1 mol Y 0.512 mol Y 0.512 1 45.5 g Y 88.9 g Y 1 mol Cl 1.535 mol Cl 0.512 3 54.5 g Cl 35.5 g Cl YCl3 To find molecular formula… A. Find empirical formula. B. Find molar mass of empirical formula. C. Find x = MM molecular MM empirical D. Multiply all parts of empirical formula by x. (How many empiricals “fit into” the molecular?) A carbon/hydrogen compound is 7.7% H and has a molar mass of 78 g. Find its molecular formula. 1 mol H 7.7 mol H 7.69 1 7.7 g H 1.0 g H 1 mol C 7.69 mol C 7.69 1 92.3 g C 12.0 g C emp. form. CH mmemp = 13 g 78 g =6 13 g C6H6 A compound has 26.33 g nitrogen, 60.20 g oxygen, and molar mass 92 g. Find molecular formula. 1 mol N 26.33 g N 14.0 g N 1.881mol N 1.881 1 1 mol O 3.763 mol O 1.881 2 60.20 g O 16.0 g O NO2 mmemp = 46 g 92 g =2 46 g N2O4 1 mol = molar mass (in g) Mass (g) Volume (L or dm3) Island Diagram: 1 mol = 22.4 L MOLE (mol) 1 mol = 22.4 dm3 Particle (at. or m’c) 1 mol = 6.02 x 1023 particles a. Diagram has four islands. b. “Mass Island” for elements or compounds c. “Particle Island” for atoms or molecules d. “Volume Island”: for gases only 1 mol @ STP = 22.4 L = 22.4 dm3 What mass is 1.29 mol Iron (II) nitrate ? Fe2+ NO31– 1.29 mol ( 179.8 g 1 mol ) Fe(NO3)2 = 232 g How many molecules is 415 L sulfur dioxide at STP? SO2 415 L ( 1 mol 22.4 L )( ) 6.02 x 1023 m’c 1 mol = 1.12 x 1025 m’c What mass is 6.29 x 1024 m’cules aluminum sulfate ? Al3+ SO42– Al2(SO4)3 342.3 g 1 mol 6.29 x 1024 m’c 6.02 x 1023 m’c 1 mol ( )( ) = 3580 g At STP, how many g is 87.3 L of nitrogen gas? N2 87.3 L ( 1 mol 22.4 L )( 28.0 g 1 mol )= 109 g •During a chem. rxn.; atoms are rearranged (NOT created or destroyed!) •Chemical equations must be balanced to show the relative amounts of all substances. •Balanced means: each side of the equations has the same # of atoms of each element. CH4 + O2 —> H2O + CO2 Unbalanced CH4 + 2O2 —> 2H2O + CO2 Balanced Cellulose reacts with oxygen gas to form carbon dioxide gas & liquid water. C6H10O5 + 6O2 6CO2 + 5H2O 6 10 17 C H O 6 10 17 Balanced!!! Nitroglycerin decomposes to form nitrogen gas, oxygen gas, carbon dioxide gas & water vapor 2 C3H5(NO3)3 3N2 + O2 + 6CO2 + 5H2O 6 10 6 18 C H N O 6 10 6 19 Not Balanced! • When balancing equations, you may change coefficients as much as you need to, but you may never change subscripts because you can’t change what substances are involved. 2 H2 (g) + O2 (g) 2 H2O (l) 1. Atom Inventory: Reactants Products 4 2 H 2 4 2 O 1 2 2 Add coefficients to balance 3. Double check to make sure it is all BALANCED! • Balancing Chemical Equations practice