Chem 20H: Answers to Final Exam Review: Jan. 2010 Part I: 1. a) 2 MnO2 + 4 KOH + O2 + Cl2 → 2 KMnO4 + 2 KCl + 2 H2O redox reaction b) 2 C3H7OH(l) + 9 O2(g) → 6 CO2(g) + 8 H2O(g) combustion reaction 2. a) CH3CH2C ≡ CCH2CH3 3. a) i) CH3CH2CH2CH2CH3 pentane b) i) CH3CH2CH2CH2OH 1-butanol 4. b) CH3CH(CH3)CH2CH2(CH3)C(CH3)CH2CH2CH2CH3 ii) CH3CH(CH3)CH2CH3 and/or CH3(CH3)C(CH3)CH3 2-methylbutane 2,2 dimethylpropane and a) phosphorous pentachloride ii) CH3CH2CH(OH)CH3 other possible answers: 2-butanol ethoxyethane, methoxypropane, 2-methyl-2-propanol, 2-methyl-1-propanol b) sulfate ion 2- Cl O Cl P Cl S Cl O Cl trigonal bipyramidal 5. 6. 7. 8. 9. O O tetrahedral 1 730 g O2 (12.0 mol C3H6)(9 mol O2 / 2 mol C3H6)(32.0 g / 1 mol O2) = 1728 g O2 11.6 g octane (11.4 g C16H32)(1 mol / 224.0 g)(2 mol C8H18 / 1 mol C16H32)(114.0 g / 1 mol C8H18) = 11.6 g C8H18 6-fluoro-4,6-dimethyl-3-heptene a) CH3(CH3)C=C(CH3)CH2CH3 b) CH3C≡CCH(C2H5)CH2CH2CH2CH3 a) exothermic b) ) limiting reagent is: oxygen gas; theoretical yield of carbon dioxide gas is 35.2g; % yield is 81.5% (16.0 g O2)(1 mol / 32.0 g O2)(8 mol CO2/5 mol O2)(44.0 g / 1 mol CO2) = 35.2 g (40.0 g C4H10)(1 mol/ 58.0 g)(8 mol CO2/2 mol C4H10)(44.0 g / 1 mol CO2) = 121 g pick O2 as limiting reagent % yield = (28.7 g / 35.2 g) x 100% = 81.5% 10. a) 0.159 mol (4.44 g CO)( 1 mol / 28.0 g) = 0.159 mol b) 11.5 mol (4.00 x 103 g PbCl4)(1 mol / 349.2 g) = 11.5 mol c) 77.9 mol (4.69 x 1025atoms)( 1 mol / 6.02 x 1023 atoms) = 77.9 mol 3 d) 6.06 x 10 mol (3.65 x 1027 molecules)(1 mol / 6.02 x 1023 molecules) = 6.06 x 103 mol 11. A bond dipole is a charge separation between two atoms due to difference in electronegativities; a molecular dipole is a polarity in the whole molecule due to the sum of bond dipoles giving a resulting molecular dipole, such as in water. δ+ δ- example of bond dipole: H–F δ- example of molecular dipole: O H H δ+ 12. The formation of hydrogen bonds between water molecules creates an increase in space between the molecules – they form a tetrahedral arrangement of molecules in the solid phase. 13. a) 248 g b) 215 g c) 335 g 14. empirical formula is: KS2O3 n K = 25.8g (1 mol / 39.1 g) = 0.660 mol n S = 42.4g(1 mol/32.1 g) = 1.32 mol n O = 31.7 g(1 mol/16.0g) = 1.98 mol (4.60 mol)(54.0 g / 1 mol F2O) = 248 g (1.85 mol)(116.1 g / 1 mol (NH4)2SO3) = 215 g (4.58 x 1024 molecules CO2)(1 mol / 6.02 x 1023 molecules)(44.0 g / 1 mol CO2) = 335 g 0.660 / 0.660 = 1 K 1.32 / 0.660 = 2 S 1.98 / 0.660 = 3 O molecular formula is: K3S6O9 molar mass = 453.9 g ; empirical mass of KS2O3 = 151.3 g molar mass / empirical mass = 453.9/151.3 ≈ 3 ; so molecular formula = 3 x KS2O3 = K3S6O9 15. a) PbCl4(s) → Pb4+(aq) + 4 Cl-(aq) 16. 17. a) soluble b) soluble c) soluble a) 0.120 mol n = cv = (4.00 x 10-2 mol L-1)(3.00 L) = 0.120 mol b) 4.38 g HCl g HCl = (0.120 mol)(36.5 g HCl / 1 mol) = 4.38 g 18. I3- is a linear molecule where the central iodine atom has expanded its valence to sp3d hybridization. Fluorine, being a second period element, is not able to expand its valence to include d orbitals. 19. i) C ≡ N – O 20. ethylene dichloride ii) C = N = O b) Mg(NO3)2(s) → Mg2+(aq) + 2 NO3-(aq) iii) C – N ≡ O and vinyl chloride H H H H | | | | Cl – C – C – Cl | | H H H–C=C–H C – H bonds are covalent (ΔEN = 0.35) C – C bonds are covalent (ΔEN = 0) C – Cl bonds are polar covalent (ΔEN = 0.61) C = C bonds are covalent (ΔEN = 0) 21. 22. 23. 24. 25. sp2 hybridization; the cis isomer has a molecular dipole a) 5 sigma bonds; 1 pi bond b) 4 sigma bonds c) 10 sigma bonds, 3 pi bonds a) HCOOCH3 + H2O b) HCOOCH2CH3 + H2O c) CH3CH2CH3 d) C2H5CH(Br)CH3 there are two triple points in the diagram diamond is denser than graphite increase the pressure on a sample of graphite, use high temperatures to promote rate of reaction amino acids (a) and (c) are chiral Multiple Choice: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. C A D D B B C C A B A C B B 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. D D D A C C A B A B A A C C 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. C D all are true A B D C C C B B A D B 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. B A D C C A B C B C A B B C C B Full Solutions: 2. mass = DV = (0.798 g ml-1)(17.4 ml) = 13.9 ml 3. (1 mile / 13 min)(1609 m / 1 mile)(1 km / 1 000 m)(60 min / 1 h) = 7.4 km / h 6. the atomic number, 29 = number of protons; the mass number, 63 = protons + neutrons; therefore, there is 34 neutrons in a neutral atom, number of protons = number of electrons 10. AAM = (34.969 amu x 75.53% + 36.956 amu x 24.47%) / 100% = 35.45 amu 11. assume sample of size of 100g, the percents are equivalent to grams: n H = (2.1 g)(1 mol / 1.00g) = 2.1 mol H 2.1 H / 1.02 = 2 H n O = (65.3 g)(1 mol / 16.00 g) = 4.08 mol O 4.08 O / 1.02 = 4 O n S = (32.6 g)(1 mol / 32.1 g) = 1.02 mol S 1.02 S / 1.02 = 1 S H2SO4 12. (3.60 mol CO)(2 mol CO2 / 2 mol CO) = 3.60 mol CO2 13. (20.5 g CO2)(1 mol CO2 / 44.0 g)( 2 mol NaHCO3 / 1 mol CO2)(84.0 g / 1 mol NaHCO3) = 78.3 g 14. write balanced equation: 2 KClO3 → 2 KCl + 3 O2 (46.0 g KClO3)(1 mol / 122.6 g KClO3)(3 mol O2 / 2 mol KClO3)(32. 0 g / 1 mol O2) = 18.00 g 15. determine theoretical yield using gram to gram stoichiometry: (8.00 x 106 g FeTiO3)(1 mol / 151.8 g)(1 mol TiO2 / 1 mol FeTiO3)(79.9 g / 1 mol) = 4.2 x 106 g % yield = (3.67 x 103 kg / 4.2 x 106 kg) x 100% = 87% 19. first determine the number of moles required to prepare the solution: n = cv = (2.80 mol L-1)(0.500 L) = 1.40 mol next, change moles to grams: g KI = (1.40 mol KI)(166 g / 1 mol) = 232 g 20. first, change mass into moles: n NaCl = (2.14 g)(1 mol / 58.5 g) = 0.0366 mol now, solve for volume: v = n/c = (0.0366 mol / 0.270 mol L-1) = 0.136 L = 136 ml 21. this is a gravimetric analysis question: first determine the ratio of masses of barium : barium sulfate ratio = (137.3 g Ba / 233.4 g BaSO4) now, multiply the mass of the precipitate to obtain the mass of barium present in the sample: (0.4105 g)(137.3 g Ba/233.4 g BaSO4) = 0.2415 g Ba now determine percent mass of barium in original unknown compound: = (0.2415 g Ba / 0.6760 g unknown) x 100% = 35.72% 22. use Boyle’s Law which relates pressures and volumes: P1V1 = P2V2 (0.970 atm)(725 ml) = (0.541 atm)(V2) V2 = 1300 mL 23. the pressure is not changing, so use Charles’ law, which relates temperatures and volumes remember to change Celsius degrees into Kelvins when using the gas law equations: V1/T1 = V2/T2 (0.78 L) / ( 293.1 K) = (V2) / (309.5 K) V2 = 0.823 L 24. pp of a gas = X1PT where X1 is the mole fraction of the gas: for CH4 pp CH4 = (0.31/0.85)(1.50 atm) = 0.54 atm for C2H6 pp C2H6 = (0.25/0.85)(1.50 atm) = 0.44 atm for C3H8 pp C3H8 = (0.29/0.85)(1.50 atm) = 0.51 atm 25. rms = √3RT/MM where R = 8.314 J and T = Kelvin temperature; MM is molar mass in kg mol-1 0 for O2 gas, at 65 C : T = 338 K and MM = 0.032 kg mol-1 rms = √(3)(8.314)(338)/0.032 = 513 m s-1 for UF6 gas, at 650C MM = 0.352 kg mol-1 rms = √(3)(8.314)(338)/0.352 = 155 m s-1 27. first, find energy of one photon = (1.0 x 103 kJ mol-1 )( 1 mol / 6.02 x 1023) = 1.66 x 10-21 kJ photon-1 = 1.66 x 10-18 J photon-1 next, find frequency from planck’s equation: ν = E/h = (1.66 x 10-18 J)(6.63 x 10-34 J s) = 2.5 x 1015 s-1 next, find wavelength from speed of light equation: λ = c/ν = 3 x 108 m s-1 / 2.5 x 1015 s-1 = 1.2 x 10-7 m = 120 nm 28. use Rydberg’s equation: at E3 E = -2.178 x 10-18J(1/32) = 2.42 x 10-19 J at E1 E = -2.178 x 10-18(1/12) = 2.178 x 10-18J ΔE = 1.936 x 10-18 J next, find frequency of light emitted: ν = 1.936 z 10-18 J / 6.63 x 10-34 J s = 2.92 x 1015 s-1 next, find wavelength of light emitted: λ = 3 x 108 m s-1 / 2.92 x 1015 s-1 = 1.03 x 10-7 m = 103 nm