Formula Weight (FW) (units = amu) The atoms displayed in the formula constitutes one FORMULA UNIT The formula weight = mass of 1 formula unit in amu’s. This is simply the sum of the AW’s of the atoms displayed in the chemical formula. Example: H2SO4 sulfuric acid 2 hydrogens 1 sulfur 4 oxygens FW (H2SO4) = 2AW(H) + AW(S) + 4AW(O) = 2(1.0 amu) + (32.0 amu) + 4(16.0 amu) = 2.0 amu + 32.0 amu + 64.0 amu = 98.0 amu Molar mass H2SO4 = 98.0 g/mol Molecular Weight (MW) (units = amu) Common term for formula weight of molecular (covalent) substances. Often used interchangeably for the term formula weight for all substances. This is not strictly proper for ionic substances which have no molecules. Molar Mass Equals the mass of 1 mole of formula units of a substance. (6.02 x 1023 formula units) Molar mass of a molecular or ionic substance is numerically equal to its formula weight. The units, however, are grams per mole (g/mol) Formula Weight Type of Type of Molar Mass (amu) Weight substance (g/mol) Na 22.99 AW Monatomic 22.99 element H2 2.02 FW or Diatomic 2.02 MW element H2O 18.02 FW or Molecular 18.02 MW Compound FW Mg(OH)2 58.33 Ionic 58.33 Compound When calculating molar masses use as many significant figures as your periodic chart allows. Follow the rules for significant figures. Percent composition Refers to mass% of each element in a compound. % Element Atoms of Element AW 100 FW of Compound Example: Calculate the percent oxygen in CO2 Formula weight of carbon dioxide: 1(12.01 amu) + 2(16.00 amu) = 44.01 amu Percent Composition of oxygen: 2(16.00 amu) x 100 44.01 amu = 72.71 % O Percent Composition of carbon = 27.29% C Empirical Formulas from Chemical Analysis If the percent by mass of the elements is known, the empirical formula (simplest ratio) can be found. Follow the flowchart page 121. Example: Percent composition analysis shows for a compound: Hg 73.9% Cl 26.1% Convert percents to grams. This is how many grams of each that there would be in a 100g sample. Hg 73.9 g Cl 26.1g Next convert grams to moles using the molar mass of each element. Hg 1mol 0.367mol mol 73.6 g 200.59 g Cl 1mol 0.736mol mol 26.1g 35.45 g Lastly, determine the smallest whole number ratio of moles of the elements to give the empirical formula. Do this by dividing the moles of each element found in the previous step, by the smallest number of moles found. Convert to whole numbers if you get a fraction. Hg 0.367 Cl 0.736 0.367 0.367 Hg1Cl2 Finding molecular formulas from empirical formulas Molecular formula is a whole number multiple of the empirical formula. (Multiplier for the subscripts) To find the molecular formula, you must know the molecular weight(MW) and the emipirical weight(EW). Empirical weight = sum of AW’s of atoms shown in the empirical formula Whole number multiple = MW/EW Example Empirical formula: CH Empirical formula weight: 13.019 g/mol Known Molecular weight: 78.114g/mol Whole number multiple = 78.114g/mol 13.019g/mol = 6 Molecular formula = C6H6