Eastern Mediterranean University Department of Chemistry Department of Chemistry CHEM247 Analytical Chemistry I Fall 2012-2013 Final Exam 11-01-2013 08.30-10.30 Student No: Q. 1 Name Q. 2 Surname: Q. 3. Signature: Q. 4. Q. 5. Q. 6. Q. 7. Q. 8. TOTAL AVAILABLE MARKS = 50 TOTAL (Fin weight is 40%) INSTRUCTIONS: 1. Write your student number, name and surname, and sign the question booklet. 2. The exam consists of 5 questions. To get full marks, answer all questions. Show all your steps. 3. The Periodic Table provided may be necessary to answer some of the questions. 4. Use of mobile phones, exchange of calculators or erasers is not allowed. 5. You can see your papers in the first10 days after the announcement of the results. Periodic Table of Elements 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 H 1.008 3 Li 6.94 11 Na 22.99 19 K 39.10 37 Rb 85.47 55 Cs 132.91 87 Fr 223.02 18 2 4 Be 9.01 12 Mg 24.30 20 Ca 40.08 38 Sr 87.62 56 Ba 137.33 88 Ra 226.03 5 21 Sc 44.96 39 Y 88.91 71 Lu 174.97 103 Lr 260.11 Lanthanides 22 23 24 Ti 47.88 40 Zr 91.22 72 Hf 178.49 V 50.94 41 Nb 92.91 73 Ta 180.95 Cr 52.00 42 Mo 95.94 74 W 183.85 57 La 138.91 89 Actinides Ac 227.03 58 Ce 140.12 90 Th 232.04 59 Pr 140.91 91 Pa 231.04 25 Mn 54.94 43 Tc 98.91 75 Re 186.2 60 Nd 144.24 92 U 238.03 26 Fe 55.85 44 Ru 101.07 76 Os 190.2 61 Pm 146.92 93 Np 237.05 27 Co 58.93 45 Rh 102.91 77 Ir 192.22 62 Sm 150.36 94 Pu 244.06 28 Ni 58.69 46 Pd 106.42 78 Pt 195.08 63 Eu 151.97 95 Am 243.06 29 Cu 63.54 47 Ag 107.87 79 Au 196.97 64 Gd 157.25 96 Cm 247.07 30 Zn 65.39 48 Cd 112.41 80 Hg 200.59 65 Tb 158.93 97 Bk 247.07 B 10.81 13 Al 26.98 31 Ga 69.72 49 In 114.82 81 Tl 204.38 66 Dy 162.50 98 Cf 251.08 6 C 12.01 14 Si 28.09 32 Ge 72.61 50 Sn 118.71 82 Pb 207.2 67 Ho 164.93 99 Es 252.08 7 N 14.01 15 P 30.97 33 As 74.92 51 Sb 121.75 83 Bi 208.98 68 Er 167.26 100 Fm 257.10 8 O 16.00 16 S 32.07 34 Se 78.96 52 Te 127.6 84 Po 208.98 69 Tm 168.93 101 Md 258.10 9 F 19.00 17 Cl 35.45 35 Br 79.90 53 I 126.90 85 At 209.99 70 Yb 173.04 102 No 259.10 He 4.003 10 Ne 20.18 18 Ar 39.95 36 Kr 83.80 54 Xe 131.29 86 Rn 222.02 FALL 2012-2013 CHEM247 Midterm Exam Page 2 Question 1 A 5.00% (w/w) Fe(NO3)3 (241.86 g/mol) solution has a density of 1.042 g/mL. Calculate a) the molar analytical concentration of Fe(NO3)3 in this solution. b) the molar NO3− concentration in the solution. c) the mass in grams of Fe(NO3)3 contained in each liter of this solution? d) the pFe of this solution (a) (b) C Fe( NO3 )3 NO 3 (c) (d) 5.00 g Fe( NO3 ) 3 1.042 g solution 1000 mL solution mol Fe( NO3 ) 3 0.215 M Fe( NO3 ) 3 100 g solution mL solution L solution 241.86 g Fe( NO3 ) 3 0.215 mole Fe( NO3 )3 3 mole NO3 0.645 M NO3 L mole Fe( NO3 )3 M Fe( NO3 )3 0.215 mole Fe( NO3 )3 241.86 g Fe( NO3 )3 52.0 g Fe( NO3 )3 L mole Fe( NO3 )3 L pFe = -log[Fe3+] =−log(0.215) = 0.668 Question 2 Data are presented below for the calcium concentration in water that was analysed by titrimetric and gravimetric methods. ppm Ca ppm Ca Gravimetric Titrimetric 771 765 781 738 803 765 781 794 784 752 784 799 791 744 a) Determine the average and standard deviation for calcium concentration by each method. b) How do the precision of the two methods compare with each other? Please explain briefly. c) What other information is necessary in order to compare the accuracy of the two analytical methods in this particular case? Please explain briefly. d) Can you suggest the names of suitable reagents and their purpose for conducting titrimetric and gravimetric analysis of calcium in aqueous solution? e) a) avgCGr = 785 ppm sGr = 9.91 ppm avgCTi = 765 ppm sTi = 23.6 ppm b) Since sGr < sTi precision of gravimetric method is better because leff dispersion of data c) We need to know true value of Ca concentration so as to estimate accuracy. d) For gravimetric analysis the OXALATE anion C2O42− and EDTA (titrant) and Erichrome black T (indicator) for titrimetric analysis. FALL 2012-2013 CHEM247 Midterm Exam Question 3 The solubility products for a series of iodides are: CuI Ksp = 1×10−12 AgI Ksp = 8.3·10−17 PbI2 Ksp = 7.1×10−9 List these four compounds in order of decreasing molar solubility in a) water and b) a 0.010 M solution of the solute cation. Ksp = [Cu+][I-] = 110-12 = (S)2 Ksp = [Ag+][I-] = 8.310-17 = (S)2 Ksp = [Pb2+][I-]2 = 7.110-9 = S(2S)2 = 4S3 (a) Solubilities in water S CuI [Cu ] [I ] S 1 10 12 1 10 6 S AgI [Ag ] [I ] S 8.3 10 17 9.1 10 9 1 (7.1 10 9 ) 3 S PbI2 [Pb ] [I ] S 1.2 10 3 2 4 Therefore PbI2 CuI AgI in water 2 (b)Solubilities in solution containing 0.01 M of the cation SCuI 1 10 12 1 10 10 0.010 M SAgI 8.3 10 17 8.3 10 15 0.010 M SP bI2 1 7.1 10 9 4.2 10 4 2 0.010 M Therefore PbI2 CuI AgI in a 0.010 M solution of the solute cation Question 4 Write the mass-balance expressions for each of the following solutions. a) 0.30 M in H2SO4 b) 0.0800 M in HClO and 0.200 M in NaClO. c) 0.25 M in NaF and saturated with CaF2 . (a) 0.30 = [H2SO4] + [HSO4-] + [SO42-] (b) 0.200 + 0.0800 = [ClO-] + [HClO] 0.200 = [Na+] (c) [F-] + [HF] = 0.25 + 2[Ca2+] [Na+] = 0.25 Page 3 FALL 2012-2013 CHEM247 Midterm Exam Page 4 Question 5 Aqueous NaOH is introduced into a solution that is 0.040 M in Cu2+ and 0.050 M in Mn2+. (Ksp Cu(OH)2 = 4.810-20 and Ksp Mn(OH)2 = 210-13) a) Which hydroxide precipitates first? b) What OH− concentration is needed to start precipitation of the first hydroxide? c) What is the concentration of the cation forming the less soluble hydroxide when the more soluble hydroxide begins to form? [Cu2+][OH-] 2 = 4.810-20 (a) [Mn2+][OH-] 2 = 210-13 Cu(OH)2 precipitates first because Cu(OH)2 is less soluble than Mn(OH)2 because Cu begins to precipitate when [OH ]Cu (4.8 10 20 ) 1.095 10 9 M 0.04 and Mn begins to precipitate when [OH ]Mn (2 10 13 ) 2.00 10 6 M 0.05 SMn(OH)2>SCu(OH)2 (b) Cu2+ begins to precipitate when [OH−] = 4.8 10 20 / 0.040 = 1.09510-9 M (c) Mn2+ begins to precipitate when [OH−] = 2 10 13 / 0.050 = 2.0010-6 M the concentration of Cu at this point is; [Cu2+] = 4.810-20/(2.210-6)2 = 1.2010-8 M Question 6( a. Explain the difference between a colloidal and a crystalline precipitate. A colloidal precipitate consists of solid particles with dimensions that are less than 10 -4 cm. A crystalline precipitate consists of solid particles with dimensions that at least 10-4 cm or greater. As a consequence, crystalline precipitates settle rapidly, whereas colloidal precipitates remain suspended in solution unless caused to agglomerate. b. Explain the difference between peptization and coagulation of a colloid. Coagulation, or agglomeration, is the process by which colloidal particles coalesce to form larger aggregates. Peptization refers to the process by which a coagulated colloid reverts to its original dispersed state. Heating, stirring and adding an electrolyte can coagulate colloidal suspensions. Washing the coagulated colloid with water often removes sufficient electrolyte to permit the re-establishment of repulsive forces that favor return to the colloidal state. c. Explain what is meant by digestion in gravimetric analysis and why is it carried out. Digestion is a process in which a precipitate is heated in the presence of the solution from which it was formed (the mother liquor). Digestion improves the purity and filterability of the precipitate. d. Explain the difference between the equivalence point and the end point of a titration. The equivalence point in a titration is that point at which sufficient titrant has been added so that stoichiometrically equivalent amounts of analyte and titrant are present. The end point in a titration is the point at which an observable physical change signals the equivalence point. FALL 2012-2013 CHEM247 Midterm Exam Page 5 Question 7 Acetic acid (HA) is a weak acid. Its acid dissociation constant is Ka = 1.75×10−5 M. HA(aq) A−(aq) + H+(aq) Write three expressions for Ka, mass balance and charge balance. Using these equations calculate the pH of a 0.010 M acetic acid solution. List any assumptions you make about concentrations in your calculations. CH 3COOH C 2 H 5 COO H [CH 3COO ][H ] eqn 1 K a 1.75 10 5 eqn 2 [H ] [CH3COO ] and [CH 3COOH] eqn 3 [CH 3COOH] 0.010 M [H ] 0.010 M Thus eqn 1 becomes [H ]2 1.75 10 5 (0.010 M) M [H ] 1.75 10 5 (0.010 M) 4.18 10 4 and pH 3.378 Question 8 a) What is the pH of the solution that results when 0.153 g of Mg(OH)2 is mixed with 75.0 mL of 0.100 M HCl? Amount of Mg(OH)2 taken = 0.153 g Mg(OH) 2 2.6235mmol 0.05832 g Mg(OH) 2 / mmol Amount of HCl = (75 ×0.100) mmol = 7.5 mmol Neutralisation is 2 HCl per one Mg(OH)2 therefore HCl is in excess Remaining CHCl = (75.00.100 – 2.62352)/75.0 = 0.03004 M [H3O+] = 0.01366 and pH = -log(0.01366) = 1.87 b) Treatment of a 0.3000-g sample of impure potassium chloride with an excess of AgNO3 resulted in the formation of 0.2725 g of AgCl. Calculate the percentage of KCl in the sample 143.32 g 74.55 g M KCl mole mole 1 mole AgCl 1 mole KCl 74.55 g KCl 0.2725 g AgCl mole 143.32 g 1 mole AgCl 100% 47.25% 0.3000 g impure sample M AgCl c) A 0.5142-g sample of primary-standard-grade Na2CO3 required 39.55 mL of an H2SO4 solution to reach the end point in the reaction CO32− + 2H+ H2O + CO2(g). What is the molarity of the H2SO4? MNa2CO3 105.99g / mole 0.5142 g Na 2 CO3 C H 2 SO4 1 mole Na 2 CO3 2 mole H 1 mole H 2 SO4 105.99 g mole Na 2 CO3 2 mole H 0.1227 M H 2 SO4 1L 39.55 mL 1000 mL
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