CHEM 101 Answer to Homework Problems (4th edition) Chapter 3 3.6 Using the appropriate atomic masses, a. Li2CO3 2(6.941 amu) + 1(12.01 amu) + 3(16.00 amu) = 73.89 amu b. C2H6 2(12.01 amu) + 6(1.008 amu) = 30.07 amu c. NF2 1(14.01 amu) + 2(19.00 amu) = 52.01 amu d. Al2O3 2(26.98 amu) + 3(16.00 amu) = 101.96 amu e. Fe(NO3)3 1(55.85 amu) + 3(14.01 amu) + 9(16.00 amu) = 241.9 amu f. PCl5 1(30.97 amu) + 5(35.45 amu) = 208.2 amu g. Mg3N2 3(24.31 amu) + 2(14.01 amu) = 100.95 amu 3.11 a. b. c. Compound Molar mass (g) N% by mass (NH2)2CO 60.06 2(14.01 g) 100% = 46.65% 60.06 g NH4NO3 80.05 2(14.01 g) 100% = 35.00% 80.05 g HNC(NH2)2 59.08 3(14.01 g) 100% = 71.14% 59.08 g 1 d. NH3 14.01 g 100% 82.27% 17.03 g 17.03 3.21 Strategy: (1) translate each compound name into the correct chemical formula; (2) translate "and" into "+"; this applies to compound phrases separated by commas; (3) translate "react to form" into a reaction arrow "→" Translation of a compound name into the correct chemical formula is the most difficult part of the solution. If the compound name is a systematic name, it will have Greek prefixes such as "di-" (2) which tell you what the subscript of a particular element is in the formula. However, in most cases the name used is a common name and you must simply look up (or learn and remember) the name/formula translation. Solution: a. KOH + H3PO4 → K3PO4 + H2O b. Zn + AgCl → ZnCl2 + Ag c. NaHCO3 → Na2CO3 + H2O + CO2 d. NH4NO2 → N2 + H2O e. CO2 + KOH → K2CO3 + H2O f. 3KOH + H3PO4 → K3PO4 + 3H2O Zn + 2AgCl → ZnCl2 + 2Ag 2NaHCO3 → Na2CO3 + H2O + CO2 NH4NO2 → N2 + 2H2O CO2 + 2KOH → K2CO3 + H2O 2 3.32 In one year: (6.5 × 109 people) × Total time 365 days 24 hr 3600 s 2 particles × × × = 4.1 × 1017 particles/yr 1 yr 1 day 1 hr 1 person 6.022 × 1023 particles 4.1 × 1017 particles/yr 1.5 106 yr 3.63 The process of combustion analysis involves the following steps: (1) Convert the mass of CO2 to moles of CO2 - this is the same as the number of moles of C in the sample because every C atom in the sample becomes the C atom in a CO2 molecule; (2) Convert moles of C to grams of C; (3) Convert the mass of H2O to moles of H2O. Twice this number is the number of moles of H in the sample (1 mol H2O = 2 mol H) because for every two H atoms in the sample, one water molecule is produced; (4) Convert moles of H to grams of H; (5) Subtract the combined mass of C and H from the sample mass; if the result is zero, then only C and H are present in the sample; if the result is greater than zero, then this is the mass of the other element in the sample (in this example, oxygen); convert the mass of this element to moles; (6) The mole ratio leads to the empirical formula as in percent composition problems. ? mol C = 28.16 mg CO2 1 mol CO2 1 mol C 1g 1000 mg 44.01 g CO2 1 mol CO2 = 0.0006399 mol C and 0.0006399 mol C ? mol H = 11.53 mg H2O 12.01g C 1mol C = 0.007685 g C = 7.685 mg C 1mol H 2 O 1g 2 mol H 1000 mg 18.02g H 2O 1mol H 2O and 3 = 0.001280 mol H 0.001280 mol H 1.008g H 1mol H = 0.001290 g H = 1.290 mg H mg O = 10.00 – (7.685+1.290) = 1.025 mg O 1g 1mol O 1000 mg 16.00 g O = 0.0000641 mol O C:H:O = 0.0006399 : 0.001280 : 0.0000641 = 9.98 : 19.97 : 1.00 ≈ 10 : 20 : 1 The empirical formula for menthol is C10H20O 3.70 The mole ratio from the balanced equation is 2 moles CO2 : 2 moles CO. 3.60 mol CO 2 mol CO2 3.60 mol CO2 2 mol CO 3.88 This is a limiting reactant problem. Calculate the moles of NO2 produced assuming complete reaction for each reactant. 2NO(g) O2(g) 2NO2(g) 0.886 mol NO × 0.503 mol O2 × 2 mol NO2 = 0.886 mol NO2 2 mol NO 2 mol NO2 = 1.01 mol NO2 1 mol O2 NO is the limiting reactant; it limits the amount of product produced. The amount of product produced is 0.886 mole NO2. 4
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