Notes: Chemical Composition & Formulas Percent Composition Mass percent = weight percent The proportion of a given atom in a compound, expressed as a % Based on atomic masses Mass fraction for a given = element Mass of the element present in 1 mole of compound Mass of 1 mol of compound The mass fraction is converted to a mass percent by multiplying by 100% Example: The formula for ethanol is C2H5OH. Calculate the mass percent of each element in this compound. Step 1: Determine the molar mass Step 2: Determine the mass fraction & mass percent for each Step 3: Check your work by making sure the % of each atom add up to approximately 100% (It may not be exact because of rounding) Formulas of Compounds: Empirical Formulas Definition = the formula of a compound that expresses the smallest whole-number ratio of atoms present If two solutions are mixed and a solid product is formed, how can you figure out what the solid is? Write the chemical reaction equation Compare the properties of the solid to known substances To obtain the formula of an unknown compound, we use the measured masses of the elements present to determine the formula. * Remember that a formula tells us the relative numbers of atoms Example: A mystery compound contains only the elements carbon, hydrogen, and oxygen and its mass is 0.2015 g. The masses of each element are found to be 0.0806-g of carbon, 0.01353-g of hydrogen, and 0.1074 g of oxygen. Step 1: Convert to moles Step 2: Divide by the smallest # of moles of atoms to determine the formula ratio. What do these numbers tell us? The compound contains the same number of C and O atoms There are twice as many H atoms as C or O atoms. The substance can be represented by the empirical formula CH2O Steps for determining Empirical Formulas: Step 1: Obtain the mass of each element in grams. Step 2: Determine the number of moles of each atom. Step 3: Divide by the smallest number of moles to determine the formula ratio. If any number in the ratio is not a whole number, complete step 4. Step 4: If any numbers are not whole numbers, multiply by the smallest integer that will convert all of them to whole numbers. Sample Problems: 1. Determine the empirical formula for a compound composed of 71.65% Cl, 24.27% C, and 4.07% H. 2. A sample of Nickel with a mass of 0.2636 g is heated and reacts with oxygen in the air to produce 0.3354 g of Nickel oxide. To find the mass of oxygen that reacted with Nickel, subtract the original mass of Nickel from the total product mass of nickel oxide. Molecular Formulas Definition: The formula of a compound that indicates the actual number of atoms of each element present. To determine a compound’s molecular formula, we must know the empirical formula and its molar mass. Example: A white powder is analyzed and found to have an empirical formula of P2O5. The compound has a molar mass of 283.88 g. What is the compound’s molecular formula? 1) Determine the empirical formula mass 2 mol of P = 2(30.97) = 61.94 g 5 mol of O = 5(16.00) = 80.00 g Mass of 1 mol P2O5 = 141.94 g 2) To determine the molecular formula, divide the molar mass by the empirical formula mass. The molecular formula is: (empirical formula)n or (n x empirical formula), SO… Sample Problems: 1. A compound with the empirical formula of C2H5O was found to have a molar mass of approximately 90 g. What is the molecular formula for the compound? 2. Determine the molecular formula of a compound that contains 26.7% P, 12.1% N, and 61.2% Cl and has a molar mass of 580 g/mol. Molecular Formulas #2 You CAN find the molecular formula using the percent composition and molar mass of a compound. Steps: 1) Using the mass % and molar mass, determine the mass of each element in 1 mole of the compound 2) Determine the number of moles of each element present in 1 mole of the compound 3) Round numbers to whole integers. These numbers represent the subscripts of the molecular formula. Example: Caffeine contains 49.48% Carbon, 5.15% Hydrogen, 28.87% Nitrogen, and 16.49% Oxygen by mass and has a molar mass of 194.2 g/mol. Determine the molecular formula for caffeine.