Mole, Molar Mass, Conversions, and % Composition Mole: 6.02 x 1023 particles (atoms, molecules, etc.) Abbreviation: mol Also known as Avogadro’s # SI unit used to measure the amount of a substance The # of carbon atoms in exactly 12g of pure carbon-12 Particle (atoms, molecules, ions, etc.) to Mole Conversions & Mole to Particle Conversions Conversion factors: 6.02 x 1023 particles 1 mole = ______1 mole_____ 6.02 x 1023 particles number of moles x 6.02 x 1023 particles = number of particles 1 mole number of particles x _____1mole______ = number of moles 6.02 x 1023 particles Example: 3.50 moles sucrose x 6.02 x 1023 molecules sucrose = 2.11 x 1024 molecules sucrose 1 mole sucrose 2.11 x 1024 molecules sucrose x _________1 mole_________ = 3.50 moles sucrose 6.02 x 1023 molecules sucrose `The molecular formula of a compound tells us the mole ratio of its component atoms Example: CCl2F2 This tells us there is 1 mole of C atoms and 2 moles Cl atoms and 2 moles F atoms in every mole of CCl2F2 Molar Mass: The mass in grams of one mole of any pure substance For an element it is equal to its average atomic mass and has units g/mol Example: Iron has molar mass of 55.845 g/mol i.e. 1 mole of iron has a mass of 55.845g Mass to Mole Conversions and Mole to Mass Conversions Conversion Factors: grams mole = mole grams Number of moles x mass in grams = mass in grams 1 mole mass in grams x number of moles = # of moles mass in grams Example: 3.00 moles Cu x 63.546 g Cu = 191g Cu 1 mole Cu 191 g Cu x 1 mole Cu = 3 moles Cu 63.546 g Cu For a compound it is equal to the sum of the average atomic mass of all its particles Example: K2CrO4 is equal to 2 moles K x 39.10g K = 78.20 g K 1 mole K 1 mole Cr x 52.00 g Cr = 52.00 g Cr 1 mole Cr 4 moles O x 16.00g O = 63.00 g O 1 mole O Molar Mass of K2CrO4 = 78.20 g K + 52.00 g Cr + 63.00 g O = 194.20g K2CrO4 Mass to Particle Conversions and Particle to Mass Conversions To convert mass to particles - convert from mass to moles then from moles to particles (See above) To convert from particles to mass – convert from particles to moles then from moles to mass (See above) % Composition or percent by mass (element) Percent by mass = mass of element in 1 mole of compound x 100% Molar mass of compound Percent composition is the mass percents of the elements present Example: HNO3 1 mole of H, 1 mole of N, and 3 moles of O per mole of HNO3 First find molar mass of each element: 1 mole H x 1.01 g H = 1.01 g H 1 mole H 1 mole N x 14.01 g N = 14.01 g N 1 mole N 3 moles O x 16.00 g O = 48 g O 1 mole O Molar mass: 1.01g + 14.01g + 48g = 63.02g HNO3 % mass H = 1.01 g/mol H x 100% = 1.6% H 63.02 g HNO3 % mass N = 14.01 g N x 100% = 22.2% N 63.02 g HNO3 % mass O = 48.00g O x 100% = 76.1% O 63.02 g HNO3