UKZN –SCHOOL OF CHEMISTRY-Howard College CHEM 181 - Tutorial 5 QUANTITIES IN CHEMICAL REACTIONS 1. Calculate the number of atoms in: (a) 4.8 mol of copper Soln: (a) Given:4.8 mol Cu Find: Cu atoms Conversion: 1 mol Cu = 6.022 x 1023 Cu atoms 4.8 mol Cu x 6.022 x 1023 Cu atoms 1 mol Cu = 2.9 x 1024 Cu atoms (b) 48.3 g sample of Zn (a) Given: 48.3 g Zn Find: Zn atoms Conversion: 1 mol Zn = 6.022 x 1023 Cu atoms No of mols Zn = mass Zn/molar mass Zn = 48.3 g Zn/65.39 g mol-1 = 0.7386 mols 0.7386 mol Zn x 6.022 x 1023 Zn atoms 1 mol Zn = 4.45 x 1023 Zn atoms 2. Calculate the number of mols of: (a) sulfur in 57.7 g of sulfur (b) C in 0.05005 g of Ca(HCO3)2. Soln: (a) no of mols of S = mass of S molar mass of S = 57.7 g 32.07 g = 1.80 mols (b) C in 0.05005 g of Ca(HCO3)2. (b) no of mols of C = mass of Ca(HCO3)2 molar mass of Ca(HCO3)2 Since there are 2 mols of C in Ca(HCO3)2 = 0.05005 g 162.12 g = 3.0872 x 10-4 mols = 3.0872 x 10-4 mols x 2 = 6.1744 x 10-4 mols C 3. Calculate the mass of: (a) 1.23 x 1024 He atoms Soln: No of mols He = No of atoms/Avogadros No = 1.23 x 1024 He atoms/6.022 x 1023 atoms x 1 mol = 2.04 mols Mass = 2.04 mols x 4.003 g/mol = 8.176 g (b) 4.78 x 1024 NO2 molecules Soln: No of mols NO2 = No of atoms/Avogadros No = 4.78 x 1024 NO2 molecules /6.022 x 1023 molecules x 1 mol = 7.94 mols Mass = 7.94 mols x 46.01 g/mol = 365 g 4. Calculate the mass of Al (in grams) of 6.73 mols of Al. Mass = no of mols x molar mass = 6.73 mols of Al x 26.98 g mol-1 = 182 g 5. Determine the number of moles of oxygen in 7.20 mols of H2SO4. Soln: No of mols of O = 7.20 mols x 4 (since there are 4 oxygen atoms) = 28.8 mols of O 6. Find the grams Fe in 79.2 g of Fe2O3. Soln: Percentage composition of Fe = = 2 x molar mass Fe molar mass of Fe2O3 2 x 55.85 g/mol 159.7 g/mol x 100 x 100 = 69.94 % Therefore mass of Fe = 79.2 g x 0.6994 = 55.39 g 7. If a person consumed 22 g of sodium chloride, how much of sodium does that person consume? NaCl is 39 % sodium by mass. Soln: 22 g NaCl x 0.39 = 8.58 g of Na was consumed. 8. Calculate the mass percent of: (a) Cl in C2Cl4F2 Soln: % Cl = (b) molar mass of C2Cl4F2 x 100 = 4 x 35.45 g/mol 203.82 g/mol x 100 = 69.57 % O in CH3COOH Soln: % O = 9. 4 x molar mass of Cl 2 x molar mass of O Molar mass of CH3COOH x 100 = 2 x 16.00 g/mol 60.052 g/mol x 100 = 53.29 % Determine the empirical formula for the following compounds: (a) 1.245 g Ni and 5.381 g I Soln: Ni I Mass: 1.245 g 5.381 g molar mass: 58.69 g mol-1 126.90 g mol-1 no of mols: 0.0212 0.0424 1 2 Divide by 0.0212 Empirical formula = NiI2 (b) 2.128 g Be, 7.557 g S, 15.107 g O Soln: Be S O Mass: 2.128 g 7.557 g 15.107 g molar mass: 9.01 g mol-1 32.07 g mol-1 16.00 g mol-1 no of mols: 0.2362 0.2356 0.9442 Divide by 0.2356 1.003 1 4.008 Rounding off to nearest whole no. Empirical formula = BeSO4 10. Find the molecular formula for the following compounds: (a) 284.77 g/mol, CCl Soln: Empricial formula mass of CCl = 12.01 g mol-1 + 35.45 g mol-1 = 47.46 g mol-1 n= molecular mass of compound Empirical formula mass of CCl = 284.77 g/mol 47.46 g/mol =6 Therefore molecular formula = CCl x 6 = C6Cl6 (b) 131.39 g/mol, C2HCl3 Soln: Empricial formula mass of C2HCl3 = 2(12.01) + 1.008 + 3(35.45)] g mol-1 = 131.38 g mol-1 n= molecular mass of compound Empirical formula mass of CCl = 131.39 g/mol 131.38 g/mol =1 Therefore molecular formula is the same as it empirical formula = C2HCl3