WORKSHEET #1 ATOMIC AND MOLECULAR MASS What is the atomic mass of the following atoms? (Show units) 1. H 1.0 u 2. C 12.0 u 3. O 16.0 u 4. Cl 35.5 u What is the molecular mass of the following compounds? (Show units) 5. KI 166.0 u 6. H2SO4 98.1 u 7. KNO3 101.1 u 8. Ca3(PO4)2 310.3 u 9. (NH4)2S 3(H2O) 122.1 u 10. C10H22 142.0 u 11. Na2C2O4 ● 7 H2O 260.0 u WORKSHEET #2 THE MOLE CONCEPT What is the mass of 1 mole of the following elements? (Show units) 1. H 1. 0 g 2. Na 23.0 g 3. O 16.0 g What is the mass of 1 mole of the following substances? (Show units) 4. H2 2.0 g 5. O2 32.0 g 6. NaCl 58.5 g 7. ZnCl2 136.4 g 8. NaOH 40.0 g 9. H2SO4 98.1 g 10. Ba(OH)2 8(H2O) 315.3 g WORKSHEET #3 MOLES AND GRAMS OF ELEMENTS How many moles of atoms are in each of the following? 1. 10.3 g of sodium (Na) 10.3 g of Na 1.0 mol of Na 23.0 g of Na = 0.4 moles of sodium atoms 2. 15.2 g of aluminum (Al) 15.2 g of Al 1.0 mol of Al 27.0 g of Al = 0.6 moles of aluminum atoms 3. 10.3 g of cesium (Cs) 10.3 g of Cs 1.0 mol of Cs 132.9 g of Cs = 0.08 moles of cesium atoms 4. 15.2 g of silicon (Si) 15.2 g of Si 1.0 mol of Si 28.1 g of Si = 0.5 moles of silicon atoms What is the mass of the following? 5. 18.0 moles of magnesium (Mg) 18.0 mol of Mg 24.3 g of Mg 1.0 mol of Mg = 437.4 g of Mg 6. 1.4 moles of argon (Ar) 1.4 mol of Ar 39.9 g of Ar 1.0 mol of Ar = 55.9 g of argon 7. 18.0 moles of scandium (Sc) 18.0 mol of Sc 45.0 g of Sc 1.0 mol of Sc = 810.0 g of scandium 8. 1.4 moles of krypton (Kr) 1.4 mol of Kr 83.8 g of Kr 1.0 mol of Kr = 117.3 g of krypton WORKSHEET #4 MOLES AND GRAMS OF COMPOUNDS How many moles of atoms are in each of the following? 1. 84.0 g of CaO 84.0 g of CaO 1.0 mol of CaO 56.1 g of CaO = 1.5 moles of CaO 2. 21.7 g of LiBr 21.7 g of LiBr 1.0 mol of LiBr 86.8 g of LiBr = 0.25 moles of LiBr 3. 44.0 g of CaS 44.0 g of CaS 1.0 mol of CaS 72.2 g of CaS = 0.6 moles of CaS 4. 32.75 g of NaBr 32.75 g of NaBr 1.0 mol of NaBr 102.9 g of NaBr = 0.3 moles of NaBr What is the mass of the following? 5. 5.0 moles of water (H2O) 5.0 mol of H2O 18.0 g of H2O 1.0 mol of H2O = 90.0 g of H2O 6. 3.4 moles of CuSO4 3.4 mol of CuSO4 159.6 g of CuSO4 1.0 mol of CuSO4 = 542.6 g of CuSO4 7. 15.0 moles of water 15.0 mol of H2O 18.0 g of H2O 1.0 mol of H2O = 270.0 g of H2O 8. 2.4 moles of CaSO4 2.4 mol of CaSO4 136.2 g of CaSO4 1.0 mol of CaSO4 = 326.9 g of CaSO4 WORKSHEET #5 MOLES AND NUMBERS How many atoms are there in: 1. 2.3 moles 6.02 x 1023 atoms 2.3 mol 1.0 mol = 1.4 x 10 atoms 2. 12.5 moles 24 12.5 mol 6.02 x 1023 atoms 1.0 mol = 7.5 x 10 atoms 3. 3.3 moles 24 6.02 x 1023 atoms 3.3 mol 1.0 mol = 2.0 x 1024 atoms 4. 10.5 moles 10.5 mol 6.02 x 1023 atoms 1.0 mol = 6.3 x 10 atoms How many moles equals: 5. 3.8 x 1025 atoms 24 3.8 x 1025 atoms 1.0 mol 6.02 x 1023 atoms = 63.1 mol 6. 5.7 x 1028 molecules 5.7 x 1028 cules 1.0 mol 6.02 x 1023 cules = 94684 mol = 9.5 x 104 mol 7. 4.8 x 1025 atoms 4.8 x 1025 atoms 1.0 mol 6.02 x 1023 atoms = 79.7 mol 8. 3.7 x 1028 molecules 3.7 x 1028 cules 1.0 mol 6.02 x 1023 cules = 6.1 x 104 mol WORKSHEET #6 MOLE-MOLE PROBLEMS The following questions refer to this equation: 4Fe(s) + 3O2(g) → 2Fe2O3(s) 1. How many moles of iron (III) oxide are produced when 2.4 moles of iron is oxidized? 2.4 mol Fe 2 mol Fe2O3 4 mol Fe = 1.2 mol Fe2O3 2. How many moles of oxygen gas are consumed when 5.7 moles of ferric oxide are produced? 5.7 mol Fe2O3 3 mol O2 2 mol Fe2O3 = 8.6 mol O2 The following questions refer to this equation: Cu(s) + 2H2SO4(aq) → CuSO4(aq) + 2H2O(l) + SO2(g) 3. How many moles of sulfuric acid are needed to react with 7.2 moles of copper metal? 7.2 mol Cu 2 mol H2SO4 1 mol Cu = 14.4 mol H2SO4 4. How many moles of sulfer dioxide are produced when 3.9 moles of water is produced? 3.9 mol H2O 1 mol SO2 2 mol H2O = 2.0 mol SO2 The following questions refer to this equation: 2Al(s) + 3ZnCl2(aq) → 2AlCl3(aq) + 3Zn(s) 5. How many moles of aluminum chloride are produced when 3.5 moles of zinc chloride are consumed? 3.5 mol ZnCl2 2 mol AlCl3 3 mol ZnCl2 = 2.3 mol AlCl3 6. How many moles of aluminum are needed to react with 1.28 moles of zinc chloride? 1.28 mol ZnCl2 2 mol Al 3 mol ZnCl2 = 0.85 mol Al WORKSHEET #7 MASS-MASS PROBLEMS The following questions refer to this equation: 2Al(s) + 3Br2(l) → 2AlBr3(s) 1. What mass of aluminum bromide is produced when 2.0 g of aluminum is consumed? 2.0 g Al 1 mol Al 2 mol AlBr3 266.7 g AlBr3 27.0 g Al 2 mol Al 1 mol AlBr3 = 19.8 g AlBr3 2. What mass of bromine is required to produce 10.0 g of aluminum bromide? 10.0 g AlBr3 1 mol AlBr3 3 mol Br2 159.8 g Br2 266.7 g AlBr3 2 mol AlBr3 1 mol Br2 = 9.0 g Br2 The following questions refer to this equation: Mg(s) + 2HCl(aq) → MgCl2(s) + H2(g) 3. How many grams of magnesium are needed to produce 100 g of hydrogen gas? 100 g H2 1 mol H2 1 mol Mg 24.3 g Mg 2.0 g H2 1 mol H2 1 mol Mg = 1215.0 g Mg 4. How much hydrogen gas is produced if 500 g of magnesium chloride is produced? 500 g MgCl2 1 mol MgCl2 1 mol H2 2.0 g H2 95.3 g MgCl2 1 mol MgCl2 1 mol H2 = 10.5 g H2 The following questions refer to this equation: Cu(s) + 2H2SO4(aq) → CuSO4(aq) + 2H2O(l) + SO2(g) 5. What mass of sulfur dioxide is produced when 10.4 g of copper is reacted? 10.4 g Cu 1 mol Cu 1 mol SO2 64.1 g SO2 63.5 g Cu 1 mol Cu 1 mol SO2 = 10.5 g SO2 6. What mass of copper is needed to react with 15 g of sulfuric acid? 15 g H2SO4(aq) = 4.9 g Cu 1 mol H2SO4(aq) 1 mol Cu 63.5 g Cu 98.1 g H2SO4(aq) 2 mol H2SO4(aq) 1 mol Cu WORKSHEET #8 LIMITING REACTANT MASS-MASS PROBLEMS 1. If you have 25.0 g of sodium and 30.0 g of sulfuric acid, how many grams of hydrogen gas be produced? What is the limiting reactant? 2Na(s) + H2SO4(aq) → Na2SO4(aq) + H2(g) 25.0 g Na 1 mol Na 1 mol H2 2.0 g H2 23.0 g Na 2 mol Na 1 mol H2 = 1.1 g H2 30.g H2SO4 1 mol H2SO4 1 mol H2 2.0 g H2 98.1 g H2SO4 1 mol H2SO4 1 mol H2 = 0.6 g H2 Therefore, sulfuric acid is the limiting reactant and sodium is in excess and 0.6 g of H2 is produced. 2. If you have 13.0 g of copper and 20.0 g of nitric acid, how many grams of water is produced? What is the limiting reactant? 3Cu(s) + 8HNO3(aq) → 3Cu(NO3)2(aq) + 2NO(g) + 4H2O(l) 13.0 g Cu 1 mol Cu 4 mol H2O 18.0 g H2O 63.5 g Cu 3 mol Cu 1 mol H2O = 4.9 g H2O 20.g HNO3 1 mol HNO3 4 mol H2O 18.0 g H2O 63.0 g HNO3 8 mol HNO3 1 mol H2O = 2.9 g H2O Therefore, nitric acid is the limiting reactant and copper is in excess and 2.9 g of H2O is produced. 3. How much zinc chloride is produced when 10 g of zinc is reacted with 20 grams of hydrochloric acid? What is the limiting reactant? Zn(s) + 2HCl(aq) → ZnCl2(aq) + H2(g) 10.0 g Zn 1 mol Zn 1 mol ZnCl2 136.4 g ZnCl2 65.4 g Zn 1 mol Zn 1 mol ZnCl2 1 mol HCl 1 mol ZnCl2 136.4 g ZnCl2 36.5 g HCl 2 mol HCl 1 mol ZnCl2 = 20.9 g ZnCl2 20.0 g HCl = 37.4 g ZnCl2 Zinc is the limiting reactant and hydrochloric acid is in excess and 20.9 g of ZnCl2 is produced. WORKSHEET #9 MASS-VOLUME PROBLEMS AT STP The following questions refer to this equation: Zn(s) + 2HCl(aq) ZnCl2(aq) + H2(g) 1. What volume of hydrogen gas is produced at STP when 10.0 g of hydrochloric acid are consumed? 10.0 g HCl 1 mol HCl 1 mol H2 22.4 L H2 36.5 g HCl 2 mol HCl 1 mol H2 = 3.1 L H2 2. What mass of zinc was consumed if 10.0 L of hydrogen gas were produced at STP? 10.0 L H2 1 mol H2 1 mol Zn 65.4 g Zn 22.4 L H2 1 mol H2 1 mol Zn = 29.2 g Zn The following questions refer to this equation: 2CH3OH(l) + 3O2(g) 2CO2(g) + 4H2O(g) 3. What volume of carbon dioxide at STP will be produced if 7.5 g of methanol are consumed? 7.5 g CH3OH 1 mol CH3OH 2 mol CO2 22.4 L CO2 32.0 g CH3OH 2 mol CH3OH 1mol CO2 = 5.3 L CO2 4. What mass of methanol was combusted if 80 L of water vapor was produced at STP? 80 L H2O 1 mol H2O 22.4 L H2O = 57.1 g CH3OH 2 mol CH3OH 32.0 g CH3OH 4 mol H2O 1 mol CH3OH WORKSHEET #10 MASS-VOLUME PROBLEMS NOT AT STP The following questions refer to this equation: 2Al(s) + 3Cl2(g) 2AlCl3(s) 1. What volume of chlorine gas at 1.0 atm and 22°C is needed to react with 5 g of aluminum? 5 g Al 1 mol Al 3 mol Cl2 27.0 g Al = 0.28 mol Cl2 2 mol Al V = (0.28 mol)(0.082 atm L / mol K)(295 K) / (1.0 atm) = 6.7 L 2. What mass of aluminum chloride is produced from 300 mL of chlorine gas at 98 kPa and 25°C? n = (98 kPa)(0.300 L) / (8.31 kPa L / mol K)( 295 K) = 0.012 mol Cl2 0.012 mol Cl2 2 mol AlCl3 133.5 g AlCl3 3 mol Cl2 1 mol AlCl3 = 1.07 g AlCl3 The following questions refer to butane burned to produce carbon dioxide and water vapor. 2C4H10(g) + 13O2(g) 8CO2(g) + 10H2O(g) 3. What volume of carbon dioxide is produced when 0.025 g of butane is burned at 95 kPa and 1800°C? 0.025 g C4H10 1 mol C4H10 8 mol CO2 58.0 g C4H10 2 mol C4H10 = 0.0.002 mol C4H10 V = (0.002 mol C4H10)(8.31 kPa L / mol K)(2073 K) / (95 kPa) = 0.36 L 4. What mass of water vapor is produced when 0.5 L of oxygen is consumed at 743 mmHg and 1900°C? n = (743 mmHg)(0.5 L)/ (62.3 mmHg L / mol K)(2173 K) = 0.003 mol O2 0.003 mol O2 = 0.04 g 10 mol H2O 13 mol O2 18.0 g H2O 1 mol H2O WORKSHEET #11 VOLUME-VOLUME PROBLEMS AT STP The following questions refer to burning methane to produce carbon dioxide and water vapor. 1. What volume of carbon dioxide is produced when 100 L of methane are burned at STP? 100 L CH4 1 L CO2 1 L CH4 = 100 L CO2 2. What volume of water vapor is produced when 250 L of carbon dioxide is produced at STP? 250 L CO2 2 L H2O 1 L CO2 = 500 L H2O The questions refer to the following reaction which occurs at STP: 2C2H6(g) + 7O2(g) 4CO2(g) + 6H2O(g) 3. What volume of oxygen is required to burn 2000 L of ethane (C2H6) at STP? 2000 L C2H6 7 L O2 2 L C2H6 = 7000 L O2 4. What volume of carbon dioxide is produced when 2000 L of ethane is burned at STP? 2000 L C2H6 4 L CO2 2 L C2H6 = 4000 L CO2 WORKSHEET #12 PERCENT COMPOSITION FROM A FORMULA What is the percent composition of the following? 1. NaBr 1 mol Na = 23.0 g 1 mol Br = 79.9 g 1 mol NaBr = 102.9 g % Na = (23.0 g / 102.9 g) x 100% = 22.4% % Br = (79.9 g / 102.9 g) x 100% = 77.6% 2. H2O2 2 mol H = 2.0 g 2 mol O = 32.0 g 1 mol H2O2 = 34.0 g % H = (2.0 g / 34.0 g) x 100% = 5.9 % % O = ( 32.0 g / 34.0 g) x 100% = 94.1% 3. Al2(SO4)3 2 mol Al = 54.0 g 3 mol S = 96.3 g 12 mol O = 192.0 g 1 mol Al2(SO4)3 = 342.3 g % Al = (54.0 g / 342.3 g) x 100% = 15.8% % S = (96.3 g / 342.3 g) x 100% = 28.1% % O = (192.0 g / 342.3 g) x 100% = 56.1% 4. Fe2O3 2 mol Fe = 111.6 g 3 mol O = 48.0 g 1 mol Fe2O3 = 159.6 g % Fe = (111.6 g / 159.6 g) x 100% =69.9% % O = (48.0 g / 159.6 g) x 100% = 30.1% 5. Na2O2 2 mol Na = 46.0 g 2 mol O = 32.0 g 1 mol Na2O2 = 78.0 g % Na = (46.0 g / 78.0 g) x 100% = 59.0% % O = (32.0 g / 78.0 g) x 100% = 41.0% 6. Al2(SO3)3 2 mol Al = 54.0 g 3 mol S = 96.3 g 9 mol O = 144.0 g % Al = (54.0 g / 294.3 g) x 100% = 18.3% % S = (96.3 g / 294.3 g) x 100% = 32.7% % O = (144.0 g / 294.3 g) x 100% = 48.9% or about 49% 1 mol Al2(SO3)3 = 294.3 g WORKSHEET #13 EMPIRICAL FORMULA FROM PERCENT COMPOSITION 1. A compound that consists of 88.8% copper and 11.2% oxygen. 88.8 g of Cu 1.0 mol of Cu 63.5 g of Cu = 1.4 mol Cu 11.2 g of O 1.0 mol of O 16.0 g of O = 0.7 mol O 1.4 mol Cu / 0.7 mol O = 2 Cu / 1 O, therefore the empirical formula is Cu 2O 2. A compound that consists of 36.7% potassium, 33.3% chlorine, and 30.0% oxygen. 36.7 g of K 1.0 mol of K 39.1 g of K = 0.94 mol K (sometimes you need to keep more digits to get nice ratios later) 33.3 g of Cl 1.0 mol of Cl 35.5 g of Cl = 0.94 mol Cl 30.0 g of O 1.0 mol of O 16.0 g of O = 1.88 mol O 1.88 mol O / 0.94 mol Cl = 2 O / 1 Cl 0.94 mol K / 0.94 mol Cl = 1 K / 1 Cl Therefore, the empirical formula is KClO2 3. A compound that contains 46.2% carbon and 53.8% nitrogen? 46.2 g C 1.0 mol C 12.0 g C = 3.8 mol C 53.8 g N 1.0 mol N 14.0 g N = 3.8 mol N 3.8 mol C / 3.8 mol N = 1 C / 1 N, therefore the empirical formula is CN 4. A compound that consists of 21.6%sodium, 33.3% chlorine, and 45.1% oxygen. 21.6 g of Na 1.0 mol of Na 23.0 g of Na = 0.94 mol Na 33.3 g of Cl 1.0 mol of Cl 35.5 g of Cl = 0.94 mol Cl 45.1 g of O 1.0 mol of O 16.0 g of O = 2.82 mol O 2.82 mol O / 0.94 mol Cl = 3 O / 1 Cl 0.94 mol Na / 0.9 mol Cl = 1 Na / 1 Cl Therefore the empirical formula is NaClO3 WORKSHEET #14 DETERMING EMPIRICAL FORMULA FROM MASS DATA 1. A 13.20 g sample of a gas consists of 3.60 g of carbon and 9.60 g of oxygen. 3.60 g of C 1.0 mol of C 12.0 g of C = 0.3 moles of C 9.60 g of O 1.0 mol of O 16.0 g of O = 0.6 moles of O 0.6 mol O / 0.3 mol C = 2 O / 1 C, therefore the empirical formula is CO2 2. A hydrocarbon is a compound consisting of hydrogen and carbon. A sample consists of 2.50 g of carbon and 0.83 g of hydrogen. 2.50 g of C 1.0 mol of C 12.0 g of C = 0.2 moles of C 0.83 g of H 1.0 mol of H 1.0 g of H = 0.8 moles of H 0.8 mol H / 0.2 mol C = 4 H / 1 C, therefore the empirical formula is CH4 3. A compound consisting of 23.00 g of sodium, 6.00 g of carbon, and 24.00 g of oxygen. 23.00 g of Na 1.0 mol of Na 23.0 g of Na = 1.0 moles of Na 6.00 g of C 1.0 mol of C 12.0 g of C = 0.5 moles of C 24.00 g of O 1.0 mol of O 16.0 g of O = 1.5 moles of O 1.5 mol O / 0.5 mol C = 3 O / 1 C 1.0 mol Na / 0.5 mol C = 2 Na / 1 C Therefore, the empirical formula is Na2CO3 4. A 15.0 g sample of iron chloride consisting of 5.17 g iron and 9.83 g of chlorine. 5.17 g of Fe 1.0 mol of Fe 55.8 g of Fe = 0.093 moles of Fe 9.83 g of Cl 1.0 mol of Cl 35.5 g of Cl = 0.28 moles of Cl 0.28 mol Cl / 0.93 mol Fe = 3 Cl / 1 Fe, therefore the empirical formula is FeCl3 5. A hydrocarbon is a compound consisting of hydrogen and carbon. A sample consists of 2.500 g of carbon and 0.625 g of hydrogen. 2.500 g of C 1.0 mol of C 12.0 g of C = 0.208 moles of C 0.625 g of H 1.0 mol of H 1.0 g of H = 0.625 moles of H 0.625 mol H / 0.208 mol C = 3 H / 1 C, therefore the empirical formula is CH3 WORKSHEET #15 MOLECULAR FORMULA 1. What is the molecular formula of a hydrocarbon consisting of 92.3 % carbon and 7.7% hydrogen? The molecular mass is 26.0 u. 92.3 g of C 1.0 mol of C 12.0 g of C = 7.7 mol C 7.7 g of H 1.0 mol of H 1.0 g of H = 7.7 mol H 7.7 mol H / 7.7 mol C = 1 H / 1 C, therefore the empirical formula is CH The molecular mass based on the empirical formula is 12.0 u + 1.0 u = 13.0 u 26.0 u / 13.0 u = 2, multiply empirical formula subscripts by this, so molecular formula is C2H2 2. What is the molecular formula of an organic compound consisting of 74.05% bromine, 22.24% carbon, and 3.71% hydrogen? The molecular mass is 215.8 u. 74.05 g of Br 1.0 mol of Br 79.9 g of Br = 0.92 mol Br 22.24 g of C 1.0 mol of C 12.0 g of C = 1.85 mol C 3.71 g of H 1.0 mol of H 1.0 g of H = 3.71 mol H 3.71 mol H / 0.92 mol Br = 4 H / 1 Br 1.85 mol C / 0.92 mol Br = 2 C / 1 Br The molecular mass based on the empirical formula is 107.9 u 215.8 u / 107.9 u = 2, multiply subscripts of empirical formula by this to get C4H8Br2 Therefore the empirical formula is C2H4Br 3. What is the molecular formula of a consisting of 46.2% carbon and 53.8% nitrogen? The molecular mass is 52.0 u. 46.2 g C 1.0 mol C 12.0 g C = 3.8 mol C 53.8 g N 1.0 mol N 14.0 g N = 3.8 mol N 3.8 mol C / 3.8 mol N = 1 C / 1 N, therefore the empirical formula is CN The molecular mass based on the empirical formula is 26.0 u 52.0 u / 26.0 u = 2, so the molecular formula is C2N2 4. What is the molecular formula of an compound consisting of 28.2% potassium, 25.6% chlorine, and 46.2% oxygen? The molecular mass is 415.5 u. 28.2 g of K 1.0 mol of K 39.1 g of K = 0.72 mol K 25.6 g of Cl 1.0 mol of Cl 35.5 g of Cl = 0.72 mol Cl 46.2 g of O 1.0 mol of O 16.0 g of O = 2.88 mol O 2.88 mol O / 0.72 mol Cl = 4 O / 1 Cl 0.72 mol K / 0.72 mol Cl = 1 K / 1 Cl Therefore, the empirical formula is KClO4 The molecular mass based on the empirical formula is 138.5 u 415.5 u / 138.5 u = 3, so the molecular formula is K3(ClO4)3