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(4.6/4.7) Empirical and Molecular Formulas SCH 3U • An empirical formula represents the simplest whole number ratio of the atoms in a compound. • The molecular formula is the true or actual ratio of the atoms in a compound. Types of Formulas The formulas for compounds can be expressed as an empirical formula and as a molecular (true) formula. eg. empirical formula = CH2O Learning Check A. What is the empirical formula for C4H8? 1) C2H4 2) CH2 3) CH B. What is the empirical formula for C8H14? 1) C4H7 2) C6H12 3) C8H14 C. What is a molecular formula for CH2O? 1) CH2O 2) C2H4O2 3) C3H6O3 Finding the Empirical Formula a) A compound is 71.65% Cl, 24.27% C, and 4.07% H. What is the empirical formula? 1. Assume a 100 g sample. Determine the mass, in grams, of each element present. Cl 71.65 g C 24.27 g H 4.07 g 2. Calculate the number of moles of each element. nCl = 71.65 g = 2.021 mol 35.45 g/mol nC = 24.27 g = 2.021 mol 12.01 g/mol nH = 4.07 g 1.01 g/mol = 4.03 mol 3. Divide each by the smallest number of moles to obtain the simplest whole number ratio. **If whole numbers are not obtained, multiply subscripts by the smallest number that will give whole numbers** Cl: 2.021 mol = 1.000 Cl (1) 2.021 mol C: H: 2.021 mol 2.021 mol = 1.000 C (1) 4.04 mol = 2.00 H (2) 2.021 mol 4. Write the simplest or empirical formula. CH2Cl Learning Check Aspirin is 60.0% C, 4.5 % H and 35.5% O. Calculate the empirical formula. nC = 60.0 g = 5.00 mol = 4.5 mol = 2.22 mol 12.01 g/mol nH = 4.5 g 1.01 g/mol nO = 35.5 g 16.00 g/mol 5.00 mol C 2.22 = 2.25 mol X 4 = 9 mol C 4.5 mol H 2.22 = 2.0 mol X 4 = 8 mol H 2.22 mol O 2.22 = 1.00 mol X 4 = 4 mol O Therefore, the Empirical Formula (EF) = C9H8O4 Finding the molecular formula a) A compound is Cl 71.65%, C 24.27%, and H 4.07%. What is the empirical formula? (from yesterday, CH2Cl) b) The molar mass is known to be 99.0 g/mol. What is the molecular formula? 1. Calculate EFM (empirical formula mass) 1(12.01g/mol) + 2(1.01 g/mol) + 1(35.45g/mol) = 49.48 g/mol 2. Calculate Multiplier: Molar mass (M) = EFM 99.0 g/mol 49.48 g/mol = 2.00 3. Multiply the empirical formula subscripts by the multiplier (CH2Cl) x 2 = C2H4Cl2 Learning Check A compound is 27.4% S, 12.0% N and 60.6 % Cl. If the compound has a molar mass of 351 g/mol, what is the molecular formula? Solution nS = 27.4 g = 0.855 mol = 0.857 mol = 1.71 mol 32.06 g/mol nN = 12.0 g 14.01 g/mol nCl = 60.6 g 35.45 g/mol Solution 0.855 mol S 0.855 = 1.00 mol 0.857 mol N 0.855 = 1.00 mol 1.71 mol Cl 0.855 = 2.00 mol Therefore, the Empirical Formula (EF) = SNCl2 Solution empirical formula mass (EFM) = 32.06 g/mol + 14.01 g/mol + (2)(35.45 g/mol) = 116.97 g/mol Molar Mass = 351 g/mol Multiplier = 351 g/mol = 3.00 116.97 g/mol so MF is S3N3Cl6