Marc Daniels Chemistry 591 Chemistry Lesson Plan (45-50 minutes): The Mole and Molar Mass Goals: (5 minutes) To understand the differences between a mole and an atom To calculate the number of atoms in a given sample To calculate molar mass and the number of molecules/moles Introduction: (10-15 minutes) A mole or mol is defined as the number equal to the number of carbon atoms in exactly 12 grams of pure 12C. This number is Avogadro’s number where one mole is equal to 6.022 x 1023 units. 1 mole = 6.022 x 1023 units (One mole of something will consist of 6.022 x 10 23 units of that substance) 1 mole of Substance = 6.022 x 1023 atoms of that Substance Molar Mass refers to the mass in grams of one mole of molecules or formula units of substance. (The Molar Mass can be found on the periodic table) For Example Carbon has a Molar Mass of 12.01 grams. This is the mass of one mole of Carbon, or the mass of 6.022 x 1023 atoms of Carbon. Mathematically this can be represented as: (12.01 g C) X (1 mole C/12.01 g C) = 1 mole C leaving moles) (here the grams g cancel out, (1 mole C) X (6.022 x 1023 atoms C/ 1 mole C) = 6.022 x 1023 atoms C Example problems (10-15 minutes) MOLAR MASS QUESTIONS AND USE OF THE PERIODIC TABLE What is the mass of 1 mole of Oxygen (O)? (An exercise to get students used to using the periodic table) A mole of Oxygen has a mass of 16.00 grams Other questions of similar form, asking how many grams are in one mole of N, and one mole of B (14.01g, and 10.81g) CALCULATING MOLES AND ATOMS How many moles are in 6.0 grams of carbon? We know that 1 mole C = 12.01 g C or we can set it as a ration that suggests for every mole of C we have 12.01 grams of C (1 mole C/12.01 g C) (? Mole C/ 6.0g C) = (1 mole C/ 12.01g C) (Asks what step do we take next to solve for moles of C?) ? Mole C = (6.0 g C) X (1 mole C/ 12.01g C) = .49 mole C = .5 mole C We can take this a step further and ask how many atoms of C are there in .5 mole of C? (? Atoms C/ .5 mole C) = (6.022 x 10 23 atoms C/ 1 mole C) (Asks what step do we take next to solve for atoms of C? similar process to before) ? Atoms C = (.5 mole C) X (6.022 x 10 23 atoms C/ 1 mole C) = 3.011 x 1023 atoms C MOLAR MASS OF CHEMICAL COMPOUNDS (10-15 minutes) Notation The subscript near the element tells the number of moles of that element (if there is no number, this suggest that there is 1 mole….so Cl suggests 1 mole of Cl where Cl2 suggests 2 moles of Cl or 1 mole of Cl2) (For example H4 means there are 4 moles of H, but this means that there is only 1 mole of H4 The number/coefficient in front tells the number of moles of that compound (if there is no number, this suggests there is 1 mole of that compound) mole (For example H2O means there are 1 mole of H2O, but there 1 mole of H2 or 2 moles of H, and 1 of O) Example Problems to finish off class How many moles of CH4 are there in 6CH4 ? (There are 6 moles of CH4) What is the mass of 1 mole of CO2? (This contains 1 mole of C, and 1 mole O2 or 2 moles of O) We know 1 mole of C has a mass of 12.01grams and that 1 mole of O has a mass of 16.00grams so 2 moles of O has 32.00grams === 1 mole of O2 has a mass of 32.00 grams We now add the masses 12.01grams + 32.00grams = mass of 1 mole of CO2 = 44.01grams CO2 What is the mass of 3 moles of CO2? (3CO2) We know 1 mole of CO2 has a mass of 44.01grams CO2 So 3 moles of CO2 has a mass of just 3 X (44.01grams CO2) = 132.03 grams of CO2 in 3 moles of CO2 Time for questions 5-10 minutes