Section 7.3 – Using Chemical Formulas They allow chemists to calculate a number of characteristic values for a given compound. Formula mass Molar mass Percentage composition Formula Mass The formula mass of any molecule, formula unit, or ion is the sum of the average atomic masses of all the atoms represented in its formula. Reported in amu (atomic mass units). Example – Water (H2O) mass H atom = 1.0079 amu mass O atom = 15.9994 amu Mass of 1 water molecule = (2 x 1.0079) + (1 x 15.9994) = 18.0152 amu/molecule Your turn #1 What is the formula mass of sulfuric acid? H2SO4 2xH + 1xS + 4xO = 2(1.00794) + 1(32.066) + 4(15.9994) = 98.079 amu Your turn #2 What is the formula mass of calcium nitrate? Ca(NO3)2 1xCa + 2xN + 6xO = 1(40.078) + 2(14.00674) + 6(15.9994) = 164.088 amu Remember The Mole? The molar mass of a substance is the mass in grams of one mole (i.e., the mass in grams of 6.022 x 1023 particles). Molar Mass Calculated by summing the masses of the elements present in one mole of the substance (6.022 x 1023 particles) A mole of molecules, formula units, or ions of a compound. Reported in grams. How many moles of atoms are there? How many moles of atoms of each element are there in aluminum sulfide? Al2S3 One mole of aluminum sulfide contains 2 moles of Al, and 3 moles of S How many moles of atoms are there? How many moles of atoms of each element are there in barium hydroxide? Ba(OH)2 1 mol Ba 2 mol O 2 mol H Molar Mass – Water (H2O) 1 mole H atoms = 1.0079 grams 1 mole O atoms = 15.9994 grams 1 mole water molecules = (2 x 1.0079) + (1 x 15.9994) = 18.0152 g/mole H2O Molar Mass – Example What is the mass of one mole of sodium nitrate? NaNO3 1 mol Na(22.989768g/mol) + 1 mol N(14.00674g/mol) + 3mol O(15.9994g/mol) = 84.9947 g Molar mass is 84.9947 g/mol Notice The molar mass and the formula mass are numerically equal; formula mass is reported in amu Molar mass is reported in grams/mol Molar Mass As A Conversion Factor See p. 224 Can use molar mass to convert grams moles molecules Molecules moles grams Examples What is the mass in grams of 3.04 mol of ammonia vapor, NH3? What is the mass of 0.257 mol of calcium nitrate? Examples How many moles of compound are there in 6.60g of ammonium sulfate? How many molecules are there is 25.0g of sugar (C12H22O11)? Percentage Composition Often useful to know the percentage by mass of each element in a compound. There are two ways to determine it: Determine % composition by Mass Mass of element in a sample divided by the mass of the sample multiplied by 100. The percentage will be the same regardless of the sample size. Percent composition by moles (Easier) Calculate how many grams of the element are present in 1 mole of the compound and divide by molar mass 𝑚𝑎𝑠𝑠 𝑜𝑓 𝑒𝑙𝑒𝑚𝑒𝑛𝑡 𝑖𝑛 1 𝑚𝑜𝑙𝑒 𝑥100% 𝑚𝑜𝑙𝑎𝑟 𝑚𝑎𝑠𝑠 𝑜𝑓 𝑐𝑜𝑚𝑝𝑜𝑢𝑛𝑑 Example Find the percentage composition of copper (I) sulfide Cu2S 63.55 𝑔 𝐶𝑢 2 mol Cu x = 127.1 𝑔 1 𝑚𝑜𝑙 𝐶𝑢 32.07 𝑔 𝑆 1 mol S x = 32.07 𝑔 𝑆 1 𝑚𝑜𝑙 𝑆 127.1 𝑔 𝐶𝑢 𝑥100 = 79.84% 𝐶𝑢 159.2 𝑔 𝐶𝑢𝑆2 32.07 𝑔 𝑆 𝑥100 159.2 𝑔 𝐶𝑢𝑆2 = 20.14% S 𝐶𝑢 Info. You Will Need For Later Hydrates are salts that crystallize from a water solution and trap water (known as water of hydration) in the crystal structure. Na2CO3•10H2O This means that 10 moles of water are trapped within each mole of the sodium carbonate salt. Assignment – Due Friday 7.3 Worksheet Chapter 7 Element Handbook Problems 7.3 Textbook Problems