MOLE/ STOICHIOMETRY By: Tyler Lewis, Michael Stylc and Erich Johnson DEFINITION OF STOICHIOMETRY The relationship between the relative quantities of substances taking part in a reaction or forming a compound, typically a ratio of whole integers. AVOGADRO’S NUMBER 6.02 x 10^23 WHAT IS A MOLE? The mole is a unit of measurement used in chemistry to express amounts of a chemical substance. MOLAR MASS Definition: The mass, in grams, of one mole of a substance MASS TO MOLE CONVERSION 1 mol = g-formula-mass (periodic table) Problem #1: How many moles in 28 grams of CO2 ? Gram-formula-mass of CO2 1 C = 1 x 12.01 g = 12.01 g 2 O = 2 x 16.00 g =32.00 g 44.01 g/mol 28 g CO2 x 1 mole CO2 = 0.64 mole CO2 44.01 g CO2 Problem #2: How many moles in 480. grams of Fe2O3 ? 2 Fe = 2 x 55.85 g = 111.7 g 3 O = 3 x 16.00 g = 48.0 g 159.7 g/mol 480. gram Fe2O3 x 1 moleFe2O3 = 3.01 mole Fe2O3 159.7 gram Fe2O3 Problem #3: Find the number of moles of argon in 452 g of argon. Ar = 1 x 39.95 g = 39.95 g 39.95 g/mol 452 gram Ar x 1 mole Ar = 11.3 mole Ar 39.95 gram Ar PARTICLE TO MOLE CONVERSION 1 mol = 6.02 x 1023 particles Problem #1: How many moles in 39.0 x 1028 particles of CO2 ? 39.0 x 1028 particles CO2 x 1 mole CO2 = 6.48 x 1028 mole CO2 6.02 x 1023 particles CO2 Problem #2:How many moles are 1.20 x 1025 particles of phosphorous? 1.20 x 1025 particles P x 1 mole P = 19.9 mole P 6.02 x 1023 particles P Problem #3: How many moles in 48.0 x 1023 particles of Cs ? 48.0 x 1023 particles Cs x 1 mole Cs = 7.97 mole CS 6.02 x 1023 particles Cs VOLUME TO MOLE CONVERSION 1 mol = 22.4 L for a gas at STP Problem #1: How many moles in 22.4 Liters of CO3 ? 22.4 L CO3 x 1 mole CO3 = 1 mole CO3 22.4 L CO3 Problem #2: How many moles of argon atoms are present in 11.2 L of argon gas at STP? 11.2 L Ar x 1 mole Ar = .500 mole CO3 22.4 L Ar Problem #3: How many moles of argon atoms are present in 403.2 L of Xenon gas at STP? 403.2 L Xe x 1 mole Xe = 18.00 mole Xe 22.4 L Xe MOL-MOL CALCULATIONS N2 + 3 H2 ---> 2 NH3 Problem #1: if we have 2 mol of N2 reacting with sufficient H2, how many moles of NH3 will be produced? NH3 ratio to set up the proportion: N2 2 That means the ratio from the equation is: 1 Initial amount Final Amount 2 mole N2 x 2 mole NH3 = 4mole NH3 1 mole N2 N2 + 3 H2 ---> 2 NH3 Problem #2: Suppose 6 mol of H2 reacted with sufficient nitrogen. How many moles of ammonia would be produced? 6 mole H2 x 2 mole NH3 = 4mole NH3 3 mole H2 N2 + 3 H2 ---> 2 NH3 Problem #2: We want to produce 2.75 mol of NH3. How many moles of nitrogen would be required? 2.75 mole NH3 x 1 mole N2 = 1.38 mole NH3 2 mole NH3 MASS-MASS CALCULATION 2 AuCl3 ---> 2 Au + 3 Cl2 Problem #1: How many grams of chlorine can be liberated from the decomposition of 64.0 g. of AuCl3? The amount of moles of The molar ratio of chemical initial chemical 64.0 gram AuCl3 x 1 mole AuCl3 = .211 mole AuCl3 303.35 grams AuCl3 The mole ratio of chemicals .211 mole AuCl3 x 3 mole Cl2 = .3165 mole Cl2 2 mole AuCl3 .3165 mole Cl x 70.9 gram Cl2 1 mole Cl2 = 22.4 gram Cl2 3 AgNO3 + AlCl3 --> 3 AgCl + Al(NO3)3 Problem #2: Calculate the mass of AgCl that can be prepared from 200. g of AlCl3 and sufficient AgNO3? 200. gram AlCl3 x 1 mole AlCl3 = 1.50 mole AlCl3 133.33 grams AlCl3 1.50 mole AlCl3 x 3 mole AgCl = 4.5 mole AgCl 1 mole AlCl3 4.5 mole AgCl x 143.35 gram AgCl 1 mole AgCl = 645. gram Cl2 2 Au + 3 Cl2 ---> 2 AuCl3 Problem #4: How many grams of AuCl3 can be made from 100.0 grams of chlorine? 100. gram Cl2x 1 mole Cl2 70.9 grams Cl2 = 1.41mole Cl2 1.41 mole Cl2 x 2 mole AuCl3 = .94mole AuCl3 3 mole Cl2 .94 mole AuCl3 x 303.35 grams AuCl3 = 285 gram AuCl3 1 mole AuCl3 PARTICLE-PARTICLE CALCULATION 2 AuCl3 ---> 2 Au + 3 Cl2 Problem #1: How many particles of chlorine can be liberated from the decomposition of 6.02x1023 particles of AuCl3? The amount of moles of initial chemical The partial ratio of chemical 6.02x1023 particles AuCl3 x 1 mole AuCl3 = 1 mole AuCl3 6.02x1023 particles AuCl3 The mole ratio of chemicals 1 mole AuCl3 x 3 mole Cl2 = 1.5mole Cl2 2 mole AuCl3 1.5 mole Cl2 x 6.02x1023 particles Cl2 1 mole Cl2 = 9.03x1023 particles Cl2 2 AuCl3 ---> 2 Au + 3 Cl2 Problem #2: How many particles of chlorine can be liberated from the decomposition of 150. particles of AuCl3? 150. particles AuCl3 x 1 mole AuCl3 = 2.492x10-22 mole AuCl3 6.02x1023 particles AuCl3 2.492x10-22 mole AuCl3 x 3 mole Cl2 = 3.738x10-22 mole Cl2 2 mole AuCl3 3.738x10-22 mole Cl2 x 6.02x1023 particles Cl2 1 mole Cl2 = 225 particles Cl2 3 AgNO3 + AlCl3 --> 3 AgCl + Al(NO3)3 Problem #3: Calculate the particles of AgCl that can be prepared from 132particals of AlCl3 and sufficient AgNO3? 132. article AlCl3 x 1 mole AlCl3 = 2.19x1024 mole AlCl3 6.02x1023 particle AlCl3 2.19x1024 mole AlCl3 x 3 mole AgCl 1 mole AlCl3 = 6.57x1024 mole AgCl 6.57x1024mole AgCl x 6.02x1023 particle AgCl =396. particle Cl2 1 mole AgCl VOLUME-VOLUME CALCULATION 2 AuCl3 ---> 2 Au + 3 Cl2 Problem #1: How many particles of chlorine can be liberated from the decomposition of 22.4 liters of AuCl3? The amount of moles of initial chemical The volume ratio 22.4 liters AuCl3 x 1 mole AuCl3 22.4 liters AuCl3 = 1 mole AuCl3 The mole ratio of chemicals 1 mole AuCl3 x 3 mole Cl2 = 1.5mole Cl2 2 mole AuCl3 1.5 mole Cl2 x 22.4 liters Cl2 1 mole Cl2 = 33.6 liters Cl2 N2 + 3 H2 ---> 2 NH3 Problem #2: Suppose 5.6 liters of H2 reacted with sufficient nitrogen. How many liters of ammonia would be produced? 5.6 liters H2 x 1 mole H2 22.4 liters H2 .25 mole H2 x 2 mole NH3 3 mole H2 .167 mole NH3x 22.4 liters NH3 1 mole NH3 = .25 moles H2 = .167mole NH3 = 3.7 liters NH3 2 Na + Cl2 ---> 2 NaCl Problem #3: How many liters of Na are required to react completely with 75.0 liters of chlorine? 75. liters Cl2 x 1 mole Cl2 = 3.35moles Cl2 22.4 liters Cl2 3.35 mole Cl2 x 2 mole Na 1 mole Cl2 6.7 mole Na x 22.4 liters Na 1 mole Na = 6.7 mole Na = 150. liters Na PERCENT COMPOSITION FORMULAS Mass of element in sample of compound X 100= % Element in Compound Mass of sample of compound OR Mass of element in 1 mol of compound X 100= % Element in Compound Molar mass of compound PERCENT COMPOSITION CALCULATION Given: Formula Cu2S Problem #1: Percent Composition of Sulfur 2 Mol Cu X 63.55 Cu = 127.1 g Cu mol Cu 1 mol S X 32.07g S = 32.07 g S mol S Molar mass of Cu2S = 159.2 g 32.07 g S 159.2 g Cu2S x 100 = 20.15% S Problem #2: Calculate the percent composition of carbon in the following: C6H12O6 6 Mol C x 12.01 g/mole = 72.06 g C 12 Mol H x 1.008 g/mole=12.096 g H 6 Mol O x 16.00 g/mole =96.00 g O 180.2 g C6H12O6 72.06 g C x 100 = 39.99% C 180.2 g C6H12O6 Problem #3: Calculate the percent composition of carbon in the following: CO2 1 Mol C x 12.01 g/mole = 12.01 g C 2 Mol O x 16.00 g/mole =32.00 g O 44.01 g CO2 12.01 g C x 100 = 27.29% C 44.01 g CO26