SYNTHESIS, DECOMPOSITION And COMBUSTION Synthesis and Decomposition Reactions Used to Find Empirical Formulas An element is burned in oxygen to form an oxide compound. The empirical formula of the compound can be determined. Step 1: determine the mass of the element and the mass of oxygen added to form the oxide Step 2: calculate the # of moles (mol = g g/mol) Step 3: express moles as the simplest ratio by dividing through by the lowest number. Step 4: write the simplest formula from mol ratios. Simplest formula: synthesis reaction A 2.00 g sample of manganese is burned in oxygen and the product is found to weigh 2.57 g. What is the formula of the oxide formed? 2: Mn: 2.00 g 54.9 g/mol = 0.0364 mols O: 0.57 g 16.0 g/mol = 0.0325 mols 3: determine the ratio of moles Mn O mol 0.0364 0.0356 mol 0.0364/ 0.0356/ (reduced) 0.0356 0.0356= = 1.022 1.000 4: the simplest formula is MnO Simplest formula: decomposition reaction A 3.787 g sample of copper oxide is heated and the remaining copper is found to weigh 3.363 g. What is the formula of the original oxide? 2: Cu: 3.363 g 63.5 g/mol = 0.0530 mols O: 0.424 g 16.0 g/mol = 0.0265 mols 3: determine the ratio of moles Cu O mol 0.0530 0.0265 mol 0.0530/ 0.0265/ (reduced) 0.0265 0.0265= = 2.00 1.000 4: the simplest formula is Cu2O Combustion Reactions • There is one additional type of problem to solve for a molecular formula. Combustion reactions • When a combustion reaction occurs, the products- CO2 and H2O can be captured by a carbon hydrogen analyzer. This equipment (p.163) is like a furnace with a two detachable chimneys that are placed after the reaction. • The first part of the chimney captures the water and thus increases in mass and the second part of the chimney captures the CO2 and increases in mass. The increase in mass in both sections can be used to calculate the moles of carbon and moles of hydrogen in the original fuel. Carbon-hydrogen analyzer Combustion Reactions Continued • The first part of the chimney captures the water because the chimney contains a dehydrated salt that becomes hydrated as the water from the combustion reaction passes through. • The second part of the chimney captures the CO2 because it contains sodium hydroxide, a metal oxide, that joins with the CO2, a nonmetal oxide in a synthesis reaction to form Na2CO3 salt. Combustion Reactions Continued • In the first part, the number of moles of hydrogen in the original compound is twice the number of moles of water absorbed by the chimney. (formula: H2O) • In the second part, the number of moles of CO2 absorbed by the chimney is equal to the number of moles of carbon in the fuel. 1: A hydrocarbon is burned in a carbon-hydrogen analyzer. 3.94 g of water and 9.62 g of CO2 are produced. The molar mass of the compound is 84.0 g/mol. Determine the molecular formula. 2: CO2: 9.62 g 44.00 g/mol = 0.218 mol CO2 H2O: 3.94 g 18.02 g/mol = 0.219 mol H20 Empirical C (1XCO2) H (2XH2O) formula mol 0.438 0.218 mass, efm) mol 0.218/ 0.438/ 3: {CH2= 12 (reduced) 0.218 0.218 +2.02= =1 = 2.01 14.02} 4: the simplest formula is CH2; the molecular formula is (84/14=6) C6H12 (mm/efm=ratio to scale up) 1: A combustion reaction of a hydrocarbon is known to produce 6.29 g of CO2 and 3.86 g of water. If the molar mass is 30.0g/mol, what is the molecular formula? 2: 3: C (1XCO2) H (2XH2O) mol mol (reduced) 4: the simplest formula is the molecular formula is efm 1: A combustion reaction of a hydrocarbon is known to produce 6.29 g of CO2 and 3.86 g of water. If the molar mass is 30.0g/mol, what is the molecular formula? 2: 0.143 mols CO2, 0.214 mols H20 3: H C efm 0.143 mol 0.428 12.01 + mol 1 2.99= 3 3(1.01)= (reduced) 15.04 4: the simplest formula is CH3 the molecular formula is (mm/emf=2) …2XCH3= C2H6…ethene