Point General Final test 2009.12.03. Chemistry Name: Corrected Max 32p In 100 g H2O dissolve 0.635 g of FeCl2. The density of the solution is 1.012 g/cm3. 1. The osmotic pressure at 23 °C: 371.4 kPa n RT , M(FeCl2)=56+35.5·2=127 g/mol n=0.005 mol dissociates to 3 ions! V (4p) V=100.635 g/(1.012 g/cm3)=99.442 cm3, c=0.005 mol/0.099442 dm3=0.05028 mol/ dm3 =3·c·R·T=3·0.05028·8.314·296.15 kPa=371.4 kPa The molar boiling point increase of the water is 0.52 °C * kg H2O/mol. Ar(Fe): 56.0; Ar(Cl): 35.5. T = TM CR, CR is the Roault concentration (also noted by m) cR=0.005 mol/0.1 kg=0.05 mol/kg H2O. T = 3 · cR · TM = 3 · 0.05 · 0.52 °C = 0.078 °C. 2. The boiling point of the solution: 100.078 °C (6p) Next we add H2SO4 and oxidize the FeCl2 completely by KMnO4: 3. 1 MnO4− + 5 Fe2+ + 8 H+ = 1 Mn2+ + 5 Fe3+ + 4 H2O MnO4− + 5e- + 8 H+= Mn2+ + 4 H2O and Fe3+ + e- = Fe2+ (5 e- change) 4. 2 MnO4− + 10 Cl− + 16 H+ = 2 Mn2+ + 5 Cl2 + 8 H2O 2 MnO4− + 10e- + 16 H+= 2 Mn2+ + 8 H2O and Cl2 + 2e- = 2Cl5. What is the volume of the Cl2 gas at T=25 °C and p=101.41 kPa?: nRT , note: if you use p in Pa the V is in m3, if you use p in kPa the V is in dm3 V p n(FeCl2)= 0.005 mol = n(Cl2), R=8.314 J/mol K, T=298 K, (3p) (3p) (4p) V = 0.1222 dm3 The Cl2 gas reacts with NaI solution (bubbling): 6. 1 I− + 3 Cl2 + 3 H2O = 1 IO3− + 6 Cl− + 6 H+ (3p) Cl2 + 2e- = 2Cl- and IO3- + 6e- + 6H+ = I- + 3H2O (6e- change) 7. 1 IO3− + 5 I− + 6 H+ = 3 I2 + 3 H2O (3p) IO3- + 5e- + 6H+ = 0.5 I2 + 3H2O and I2 + 2e- = 2I- (5e- change) 8. 2 Na2S2O3 + 1 I2 = 1 Na2S4O6 + 2 NaI I2 + 2e- = 2I- and S4O62-+2e- =2 S2O32- (3p) (2e- change) 9. 6 Br- + 1 Cr2O72- + 7 H2SO4 → 3 Br2 + 2 Cr3+ + 7 SO42- + 7 H2O (3p) Cr2O72- + 6e- 14 H+= 2 Cr3+ + 7 H2O and Br2 + 2e- = 2Br- (6e- change) Point General Final test 2009.12.03. Chemistry Name: Max 32p Name the following compounds (1p for each, total 10 points): 10. NO nitrogen monoxide 11. NO2 nitrogen dioxide 12. N2O dinitrogen monoxide 13. N2O3 dinitrogen trioxide 14. N2O4 dinitrogen tetroxide 15.NaClO sodium hypochlorite 16. KClO2 potassium chlorite 17. HClO3 chloric acid 18. HClO4 perchloric acid 19. CaSO3 calcium sulfite Reaction: N2O4 (g) 2 NO2 (g). Ar(N): 14; Ar(O): 16. Volume = 1 dm3, T= 70 °C, the initial mass of the N2O4 is 9.2 g. We wait for the dissociation equilibrium and in the equilibrium we measure the total pressure of 399.24 kPa Calculate equilibrium constant with mols (Kn), with concentrations (Kc), and with pressure (Kp), the degree of dissociation (), the volume %, and the average molar mass. M(N2O4)=92, M(NO2)=46. initial: ni(N2O4)=0.100 mol, (9.2 g/92 g/mol) final (in equilibrium): ntotal=pV/(RT)=0.140 mol N2O4 Initial 0.1 mol Reaction −x mol Equilibrium 0.1−x mol ntotal=0.1−x+2x=0.1+x=0.14 mol thus x=0.04 mol. mol%(N2O4)= 0.06/0.14 *100=42.9% = volume %(N2O4) # N2O4 NO2 c 0.06 M 0.08 M n p 0.06 mol 0.429·399.24=171.1 kPa 2 NO2 0 mol + 2x mol 2x mol K# 0.08 2 Kc 0.1067 0.06 0.08 mol 0.571·399.24=228.1 kPa 0.082/0.06=0.1067 (228.1/101.325)2/ (171.1/101.325)=3.003 20. Kn = 0.1067 mol (4p) 21. Kc = 0.1067 mol/dm3 (4p) 22. Kp = 3.003 (with activities dimensionless) (4p) 23. = 40% 24. volume % = 25. average molar mass: (4p) 42.9 N2O4 (g) 65.73 g/mol 51.7 NO2(g) (4p) (2p) Point General Final test 2009.12.03. Chemistry Max Name: 36p 2+ Calculate the following non standard electrode potentials if °(Cu/Cu )= +0.340 V: 26. Metal Cu in 0.05 M CuSO4 solution: (Cu/Cu2+)= °(Cu/Cu2+)note that Q a 0.0591 log red 2 a ox ared a 1 Cu2 aox Cu Cu 2 (4p) 0.0591V = +0.340 V+ log(0.05)= 0.302 V 2 27. Metal Cu in saturated Cu3(PO4)2 solution: (6p) Ksp[Cu3(PO4)2]= 1.08 x 10 Ksp=(3S)3·(2S)2=108·S5=1.08·10−13 S=1.00·10−3 M [Cu2+]=3S=3.0·10−3 M −13 0.059V log(3.0·10−3) = 2 28. Metal Cu in saturated Cu(OH)2 solution at pH=9: (Cu/Cu2+)=+0.340 V+ +0.266 V (6p) Ksp[Cu(OH)2]= 5.0·x 10 pH = 9.00 pOH = 5.00 [OH−] = 10−5 Ksp = [Cu2+]·[OH−]2 [Cu2+] = 5·10−18/(10−5)2 = 5.0·10−8 M (3p) −18 0.059V log(5.0·10−8) = 2 29. Hydrogen electrode in pH 12.5 NaOH solution: +0.125 V (H2/2H+)=°(H2/2H+)+0.059 V·lg[H+]=0.000 V + 0.059 V·(−pH) = −0.738 V (Cu/Cu2+)=+0.340 V+ 30. Hydrogen electrode in 0.02 M weak acid solution: Ks(weak acid)=1.0 x 10−4 [H+]=(Ksc0)1/2=(1.00·10−4·0.02)1/2=1.414·10−3 M (4p) pH=2.85 (H2/2H+)=°(H2/2H+)+0.059 V·lg[H+]=0.000 V + 0.059 V·(−pH)= (6p) (8p) −0.168 V 31. Connect the electrodes in 29. and 30. What is the cell potential? Which electrode is the cathode and which electrode is the anode? (6p) Ecell = -0.168 V –(-0.738 V) = +0.57 V Cathode (reduction): 30 (smaller pH, larger H+ concentration) 2H+ 2e- H2 Anode (oxidation): 29