www.biosan.lv FINAL 2011 ROUND, PROBLEMS Solve all problems provides. Fill answer sheets and till 13:00, March 20, 2011 send them to e‐mail: kimijas_olimpiades@inbox.lv You will receive answer that your solutions are received and will be graded in few days. This round consists from two parts. Part A – 60 multiple choice questions with one correct answer each. Maximum points for this round is 30 points. Part B – 6 short answer problems. Each problem is graded with maximum 5 points. Points for final round are added to points gained in first three rounds. Part A – Multiple choice test Choose one correct answer for each question and write corresponding letter in answer sheet provided. Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Time, s Question 10 Question 11 Question 12 Question 13 Question 14 Question 15 Question 16 Question 17 Question 18 Question 19 Question 20 Question 21 Question 22 Question 23 Question 24 Question 25 Question 26 Question 27 Question 28 Question 29 Question 30 Question 31 Question 32 Question 33 Question 34 Question 35 Question 36 Question 37 Question 38 Question 39 Question 40 Question 41 Question 42 Question 43 Question 44 Question 45 Question 46 Question 47 Question 48 Question 49 Question 50 Question 51 Question 52 Question 53 Question 54 Question 55 Question 56 Question 57 Question 58 Question 59 Question 60 www.biosan.lv FINAL 2011 ROUND, PROBLEMS Part B – Short answer questions Problem 1 Chemical crossword – inorganic chemistry (8 points) Letters A, B, D ect. stands for unknown inorganic compounds, which react as shown in table. Formulas for all organic compounds are known. • • • • • • • Compound A contains transition metal and transition metal content is approximately 72% (by mass) Solutions of compounds U, N, Ģ are strongly basic. There are no information about solutions of other compounds. Solutions of compounds O and N colors gas flame yellow, while compounds U un Ō colors flame purple red. Water solutions of compounds V, P and L are blue. Substances E, G, H, M, R, S, Ā contain only one chemical element. Three transition metals are mentioned in this crossword. Equations in crossword are not balanced. Write chemical formulas for all compounds abbreviated with letters. A + E ↓ F + G E + U ↑ F + T + + + ← B ↑ I + H → L + N ↓ O + P → S ← + + G + J ↓ E + K R + Q ↓ Å + E + + + + → F ← + C2H5Cl → → Č + Ģ ↓ Ķ + F C2H5NO2 + D + H ↓ B M + Q ↓ F + V + W → I + + D + R ↑ B + Ž F ↓ I + E + + + → U + F + Ā ↓ Ē + E → Š + F → Z + F + F → C2H6 + Y + Ō + C2H5OH ↑ S C2H6 + + CH3Cl I ↓ Ņ + D + + I F ↓ G + E + Y C2H4 ↓ C2H6 Problem 2 Use of math to describe chemical processes – physical chemistry (10 points) Problem 3 Some organic chemistry (6 points) Problem 4 Complex formation and red‐ox properties (6 points) You have to investigate 1st type electrode using software MS Excel (or analogue). The first type electrode consists from metal (M(s)) and it’s ions in solution (Mx+(aq)). This time solution also contain protolytic pair from which conjugated base acts as ligands and form complex ions with Mx+. Draw graph to show how reduction standard potential is dependent on pH if free ligand concentration in solution is a) 0.1 M, b) 1.0 M and 5.0 M. Given electrode: Cu2+(aq) + 2e → Cu(s) Eo = + 0.345 V + pKa(NH4+) = 9.25 Ligands: NH3 / NH4 Summary complex formation constants: lg β1 = 3.99 lg β1,2 = 7.33 lg β1,2,3 = 10.06 lg β1,2,3,4 = 12.03 lg β1,2,3,4,5 = 11.43 lg β1,2,3,4,5,6 = 8.9 Hints: 1. Assume that concentration sum for conjugate acid and base and acid are constant (if base are used for complex formation it is added to solution to maintain constant concentration or concentration of base is huge enough and stays almost constant). 2. Write mathematical equations for calculation real reduction standard potentials depending from molar fraction of metal ions in solution. Example: 3. Using MS Excel program calculate real standard potential values, if pH changes from 0 to 14 (step 0.5). Made calculation in three cases: a) conjugate acid and base concentration sum is CL = 0.1 M, b) CL = 1 M and c) CL = 5 M. All calculation results collect in table. www.biosan.lv FINAL Part A – Multiple choice test Q. number 1. 2. 3. 4. 5. 6. 7. 8. 9. 10 . 11 . 12 . 13 . 14 . 15 . 16 . 17 . 18 . 19 . 20 . 21 . 22 . 23 . 24 . 25 . 26 . 27 . 28 . 29 . 30 . 31 . 33 . Answer B B D A A B A D C D A B A B D A B B B C C D A B A C B B C A B D No correct answer, D , all statements are true 32 . B 33 . D 34 . A 35 . A 36 . B 37 . B 38 . C 39 . D 40 . A 41 . D 42 . B 43 . C 44 . B 45 . A 46 . D 47 . A 48 . A 49 . B 50 . B 51 . B 52 . D 53 . D 54 . A 55 . A 56 . C 57 . C 58 . A 59 . C 60. B 2011 ROUND, SOLUTIONS Part B – Short answer questions Problem 1 Chemical crossword – corrections (made with red color) A + E ↓ F + G E + U ↑ F + T + + + ← B ↑ I + H → L + N ↓ O + P → S ← + + G + J ↓ E + K R + Q ↓ Å + E + + + + → D + H ↓ B F ← + C2H5Cl → → Č + Ģ ↓ Ķ + F C2H5NO2 + M + Q ↓ F + V + W → I + + D + R ↑ B + Ž F ↓ I + E + + + → U + F + Ā ↓ Ē + E → C2H6 + Ō ↑ S + CH3Cl + + Š + F → Ņ + F (not I) ↓ Ģ (not G) Z + F + F → Y Y + C2H5OH + C2H6 + I ↓ D + F E + C2H4 ↓ C2H6 Answers: A – Fe3O4 or other oxide which contains 72% metal, Mn3O4, Rh2O5, CaO – is not accepted wrong chemistry B – CO D – CO2 E – H2 F – H2O G – Fe H–C I – O2 J – HCl K – FeCl2 L – CuCl2 M – Cu N‐ NaOH O – NaCl P – Cu(OH)2 Q – H2SO4 R – Zn or other metal S – Li or other alkali metal T – LiH or other alkali metal U – LiOH or other alkali metal V – CuSO4 W – SO2 Z – NO2 Y – HNO3 Š – CaH2, Ca accepted Ž – ZnO Ā – Al Č – H2CO3 Ē – Li[Al(OH)4] Ģ – Ca(OH)2 Ķ – CaCO3 Ņ – CaO Ō – LiCl or other metal Å – ZnSO4 Problem 2 Problem 3 Problem 4 0 ε red = ‐ 0,764 V Cu2+ + 2 e ‐ → Cu Cu2+ + NH3 [Cu(NH3)]2+ lg β1 = 3,99 Cu2+ + 2NH3 [Cu(NH3)2]2+ lg β 2 = 7,33 Cu2+ + 3NH3 [Cu(NH3)3]2+ lg β 3 = 10,06 Cu2+ + 4NH3 [Cu(NH3)4]2+ lg β 4 = 12,03 Cu2+ + 5NH3 [Cu(NH3)5]2+ lg β 5 = 11,43 Cu2+ + 6NH3 [Cu(NH3)6]2+ lg β 6 = 8,9 NH4+ + H2O H3O+ + NH3 pKA = 9,25 0 − ε = ε red RT RT 1 0 = ε red + ln ln [Cu 2+ ] 2+ 2 ⋅ F [Cu ] 2⋅ F ⎧ [ H 3O + ] ⋅ [ NH 3 ] ⎪K A = + [ NH 4 ] ⎪ ⎪C = [ NH + ] + [ NH ] + [{Cu ( NH ) }2+ ] + 2 ⋅ [{Cu ( NH ) }2+ ] + 3 ⋅ [{Cu ( NH ) }2+ ] + 4 3 3 1 3 2 3 3 ⎪ L ⎪+ 4 ⋅ [{Cu ( NH 3 ) 4 }2+ ] + 5 ⋅ [{Cu ( NH 3 ) 5 }2+ ] + 6 ⋅ [{Cu ( NH 3 ) 6 }2+ ] ⎪ 2+ ⎪ K = [{Cu ( NH 3 )} ] ⎪ 1 [Cu 2+ ] ⋅ [ NH ] 3 ⎪ ⎪ [{Cu ( NH 3 ) 2 }2+ ] ⎪ K 2 = [Cu 2+ ] ⋅ [ NH ]2 3 ⎪ ⎪⎪ [{Cu ( NH 3 ) 3 }2+ ] ⎨K 3 = [Cu 2+ ] ⋅ [ NH 3 ]3 ⎪ ⎪ [{Cu ( NH 3 ) 4 }2+ ] ⎪K 4 = [Cu 2+ ] ⋅ [ NH 3 ]4 ⎪ ⎪ 2+ ⎪ K 5 = [{Cu ( NH 3 ) 5 } ] ⎪ [Cu 2+ ] ⋅ [ NH 3 ]5 ⎪ 2+ ⎪ K = [{Cu ( NH 3 ) 6 } ] ⎪ 6 [Cu 2+ ] ⋅ [ NH 3 ]6 ⎪ 2+ 2+ 2+ 2+ 2+ ⎪CCu = [Cu ] + [{Cu ( NH 3 )1} ] + [{Cu ( NH 3 ) 2 } ] + [{Cu ( NH 3 ) 3 } ] + [{Cu ( NH 3 ) 4 } ] + ⎪ 2+ 2+ ⎪⎩+ [{Cu ( NH 3 ) 5 } ] + [{Cu ( NH 3 ) 6 } ] + C L = [ NH 4 ] + [ NH 3 ] + [{Cu ( NH 3 )1}2+ ] + 2 ⋅ [{Cu ( NH 3 ) 2 }2+ ] + 3 ⋅ [{Cu ( NH 3 ) 3 }2+ ] + + 4 ⋅ [{Cu ( NH 3 ) 4 }2+ ] + 5 ⋅ [{Cu ( NH 3 ) 5 }2+ ] + 6 ⋅ [{Cu ( NH 3 ) 6 }2+ ] + CL = [ NH 4 ] + [ NH 3 ] ⎧ [ H 3O + ] ⋅ [ NH 3 ] K = ⎪ A [ NH 4+ ] ⎪ ⎪ 10 − pH ⋅ [ NH 3 ] + + ⇒ ⎪CL = [ NH 4 ] + [ NH 3 ] ⇒ [ NH 4 ] = CL − [ NH 3 ] ⇒ K A = CL − [ NH 3 ] ⎪ ⎪⇒ 10 − pH ⋅ [ NH ] = K ⋅ C − [ NH ] ⋅ K ⇒ (10− pH + K ) ⋅ [ NH ] = K ⋅ C ⇒ 3 3 3 A L A A A L ⎪ K A ⋅ CL ⎪ ⎪⇒ [ NH 3 ] = 10 − pH + K A ⎪ ⎪ [{Cu ( NH 3 ) }2 + ] [{Cu ( NH 3 ) }2 + ] ⎛ K ⋅C ⎞ β ⇒ [{Cu ( NH 3 ) }2 + ] = β1 ⋅ [Cu 2 + ] ⋅ ⎜⎜ − pHA L ⎟⎟ ⇒ = ⎪β1 = 1 2+ [Cu ] ⋅ [ NH 3 ] + KA ⎠ ⎛ K ⋅C ⎞ ⎝ 10 ⎪ [Cu 2 + ] ⋅ ⎜⎜ − pHA L ⎟⎟ ⎪ + KA ⎠ ⎝ 10 ⎪ 2 ⎪ ⎛ K A ⋅ CL ⎞ [{Cu ( NH 3 ) 2 }2 + ] [{Cu ( NH 3 ) 2 }2 + ] 2+ 2+ ⎟ ⎪β 2 = ⇒ [{Cu ( NH 3 ) 2 } ] = β 2 ⋅ [Cu ] ⋅ ⎜⎜ − pH ⇒ β2 = 2 [Cu 2 + ] ⋅ [ NH 3 ]2 + K A ⎟⎠ ⎪ ⎛ K A ⋅ CL ⎞ ⎝ 10 2+ ⎟ [Cu ] ⋅ ⎜⎜ − pH ⎨ + K A ⎟⎠ ⎪ ⎝ 10 ⎪ 3 2+ ⎪β = [{Cu ( NH 3 )3} ] ⇒ K ⇒ [{Cu ( NH ) }2 + ] = β ⋅ [Cu 2 + ] ⋅ ⎛⎜ K A ⋅ CL ⎞⎟ 3 3 3 ⎜ 10 − pH + K ⎟ ⎪ 3 [Cu 2 + ] ⋅ [ NH ]3 3 A ⎠ ⎝ ⎪ 4 2+ ⎪ ⎛ K A ⋅ CL ⎞ [{Cu ( NH 3 ) 4 } ] 2+ 2+ ⎪β 4 = ⎟ ⇒ K ⇒ [{Cu ( NH 3 ) 4 } ] = β 4 ⋅ [Cu ] ⋅ ⎜⎜ − pH [Cu 2 + ] ⋅ [ NH 3 ]4 + K A ⎟⎠ ⎪ ⎝ 10 ⎪ 5 ⎛ K A ⋅ CL ⎞ [{Cu ( NH 3 )5 }2 + ] ⎪ 2+ 2+ ⎪β 5 = [Cu 2 + ] ⋅ [ NH ]5 ⇒ K ⇒ [{Cu ( NH 3 )5 } ] = β 5 ⋅ [Cu ] ⋅ ⎜⎜ 10− pH + K ⎟⎟ 3 A ⎠ ⎝ ⎪ 6 ⎪ 2+ ⎞ ⎛ A ⋅ CL ⎪β 6 = [{Cu2(+NH 3 )6 } 6] ⇒ K ⇒ [{Cu ( NH 3 )6 }2 + ] = β 6 ⋅ [Cu 2 + ] ⋅ ⎜ K ⎜ 10 − pH + K ⎟⎟ [Cu ] ⋅ [ NH 3 ] ⎪ A ⎠ ⎝ ⎪ 2+ 2+ 2+ 2+ 2+ ⎪CCu = [Cu ] + [{Cu ( NH 3 )} ] + [{Cu ( NH 3 ) 2 } ] + [{Cu ( NH 3 )3} ] + [{Cu ( NH 3 ) 4 } ] + ⎪ 2+ 2+ ⎩+ [{Cu ( NH 3 )5 } ] + [{Cu ( NH 3 )6 } ] CCu = [Cu 2 + ] + [{Cu ( NH 3 )}2 + ] + [{Cu ( NH 3 ) 2 }2 + ] + [{Cu ( NH 3 )3}2 + ] + [{Cu ( NH 3 ) 4 }2 + ] + + [{Cu ( NH 3 )5 }2 + ] + [{Cu ( NH 3 ) 6 }2 + ] = 2 3 4 ⎛ ⎞ ⎜1 + β ⋅ ⎛⎜ K a ⋅ CL ⎞⎟ + β ⋅ ⎛⎜ K a ⋅ CL ⎞⎟ + β ⋅ ⎛⎜ K a ⋅ CL ⎞⎟ + β ⋅ ⎛⎜ K a ⋅ C L ⎞⎟ + ⎟ 1 ⎜ 2 ⎜ 3 ⎜ 4 ⎜ − pH − pH − pH − pH ⎟ ⎟ ⎟ ⎟ ⎜ + Ka ⎠ ⎟ + Ka ⎠ + Ka ⎠ + Ka ⎠ ⎝ 10 ⎝ 10 ⎝ 10 ⎝ 10 ⎟ = [Cu 2 + ] ⋅ ⎜ 5 6 ⎜ ⎟ ⎛ K a ⋅ CL ⎞ ⎛ K a ⋅ CL ⎞ ⎟⎟ ⎟⎟ + β 6 ⋅ ⎜⎜ − pH ⎜⎜ + β 5 ⋅ ⎜⎜ − pH ⎟⎟ + Ka ⎠ + Ka ⎠ ⎝ 10 ⎝ 10 ⎝ ⎠ [Cu 2 + ] = 1 2 3 4 ⎛ K a ⋅ CL ⎞ ⎛ K a ⋅ CL ⎞ ⎛ K a ⋅ CL ⎞ ⎛ K a ⋅ CL ⎞ ⎟⎟ + β 2 ⋅ ⎜⎜ − pH ⎟⎟ + β 3 ⋅ ⎜⎜ − pH ⎟⎟ + β 4 ⋅ ⎜⎜ − pH ⎟ + 1 + β1 ⋅ ⎜⎜ − pH + Ka ⎠ + Ka ⎠ + Ka ⎠ + K a ⎟⎠ ⎝ 10 ⎝ 10 ⎝ 10 ⎝ 10 5 ⎛ K a ⋅ CL ⎞ ⎛ K a ⋅ CL ⎞ ⎟ ⎟⎟ + β 6 ⋅ ⎜⎜ − pH + β 5 ⋅ ⎜⎜ − pH + K a ⎟⎠ + Ka ⎠ ⎝ 10 ⎝ 10 6 , 0 = ε red ε red ⎞ ⎛ ⎟ ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ ⎜ RT ⎜ 1 ⎟ + ln 2 3 4 2⋅ F ⎜ ⎛ K a ⋅ CL ⎞ ⎛ K a ⋅ CL ⎞ ⎛ K a ⋅ CL ⎞ ⎛ K a ⋅ CL ⎞ ⎟ ⎟ ⎜ 1 + β1 ⋅ ⎜ ⎜ 10− pH + K ⎟⎟ + β 2 ⋅ ⎜⎜ 10− pH + K ⎟⎟ + β 3 ⋅ ⎜⎜ 10− pH + K ⎟⎟ + β 4 ⋅ ⎜⎜ 10− pH + K ⎟⎟ + ⎟ ⎜ a ⎠ a ⎠ a ⎠ a ⎠ ⎝ ⎝ ⎝ ⎝ ⎟ ⎜ 5 6 ⎟ ⎜ ⎛ K a ⋅ CL ⎞ ⎛ K a ⋅ CL ⎞ ⎟⎟ + β 6 ⋅ ⎜⎜ − pH ⎟⎟ ⎟ ⎜ + β 5 ⋅ ⎜⎜ − pH + Ka ⎠ + Ka ⎠ ⎝ 10 ⎝ 10 ⎠ ⎝ K a = 10 − pK a K n = 10 lg K n E(Cu2+), V 0,40 0,35 0,30 0,25 0,20 C= 0,1 mol/L 0,15 C = 0,5 mol/L 0,10 C = 5 mol/L 0,05 0,00 ‐0,05 ‐0,10 ‐0,15 pH 0,0 5,0 10,0 www.biosan.lv Final results of BCC 2011 Nr.p.k. max 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 33 34 35 36 37 38 39 40 Name Sigitas Mikutis Emilis Bruzas Jurgis Kuliesius Kristina Smokrovich Taivo Pungas Rene Lomp Jana Volaric Julia Tseglakova Mirna Mustapić Aurimas Narkevicius Kaur Aare Saar Mindaugas Siauciulis Eva-Lotta Kasper Katrina Sepp Lona-Liisa Sutt Jānis Briška Valdis Dakuļs Jaan Toots Kristers Ozols Kert Pütsepp Mantas Vasiliauskas George Trenin Ralf Ahi Māris Seržāns Vytaute Maciulsyte Elza Liniņa Kaur Karus Greta Macileviciute Ernestas Blazevic Erik Tamre Gediminas Aucina Katrīna Krieviņa Augustinas Juskauskas Madis Ollikainen Tatjana Gerasimova Pijus Savickas Simonas Balkaitis j Svambaryte y Silvija Dovile Meliauskaite International jury: State LT LT LT CR EE EE CR EE CR LT EE LT EE EE EE LV LV EE LV EE LT LV EE LV LT LV EE LT LT EE LT LV LT EE LV LT LT LT LT School Klaipeda "Azuolynas" gymnasium Vilniaus Žirmūnu gimnazija V. gimnazija Tallinn Secondary Science School Liivalaia Secondary school V. gimnazija Tallinn High School of Humanities V. gimnazija KTUG Tallinn English College Mykolas Birziska gymnasium Hugo Treffner Gymnasium Miina Harma Gumnaasium Miina Harma Gumnaasium Salas secondaryy school Viļānu secondary school Tallinna Reaalkool Riga State Gymnasium No.3 Tallinn Secondary Science School Kuršėnu Lauryno Ivinskio gymnasium Riga 95th Secondary school Riga State Gymnasium No.1 Form TOTAL 12 12 12 11 4th 11 4th 11 10 11 11 12 10 11 11 10 11 12 10 10 Riga State Gymnasium No.3 Riga State Gymnasium No.1 11 Riga Secondary school No. 72 12 150,00 107,71 105,83 102,56 97,99 95,53 94,19 93,91 91,05 86,75 82,51 80,82 67,49 64,54 59,94 55,46 , 53,45 50,30 48,88 43,02 35,08 33,86 27,61 23,10 19,25 18,75 17,20 , 13,25 11,01 10,81 8,50 7,40 6,08 6,05 5,52 5,29 5,24 4,26 , 4,14 3,00 Prize 1st place 2nd place 3rd place Honorary mention Honorary mention Honorary mention Honorary mention Honorary mention Egle Maksimaviciute LT Vladislav Ivaništšev EE Kaspars Veldre LV Filip Topić CRO Students will be awarded during Chemistry Olympiad of Baltic states, 2011, April 15-17, Vilnius, Lithuania 1. 8 3,28 6,24 4,64 4,04 5,56 4 3,12 1,28 2,84 2,44 0 0 3,72 3,68 3,16 , 0,8 0 1,08 0 0,12 0,2 2. 10 9,25 9,25 7,75 6,25 9 7 6 8 4,5 6 0 4 8,5 7,75 0,75 , 6,25 0 0 8 9,25 5,25 0 0 0 0 , 1,6 0,24 3,64 0 0 0,84 0,12 0 0,6 0 0,12 0 0,52 4,5 0 6,75 0 0 0,75 0 0 0 0 0 0 0 0 0 0 0 Round 1 3. 4. 4 8 4 7,724 4 8 1 7,724 4 6,345 0 8 4 8 4 8 7,72 0 4 6,621 4 6,345 0 7,034 0 7,448 0 7,172 0 8 0 6,621 , 7,72 0 0 5,793 0 8 4 7,172 0 7,034 0 4,966 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7,172 0 8 0 0 5,517 7,172 0 0 5,241 5,931 5,517 4,69 5,241 4,138 , 4,138 2,483 Sum 30 24,25 27,49 21,11 20,63 22,56 23 21,12 17 17,96 18,78 7,034 11,45 19,39 19,43 10,53 , 14,77 5,793 9,08 19,17 16,4 10,42 0 11,67 0 18,75 0 , 1,6 6,507 10,81 0 0 6,081 6,051 5,517 5,29 5,241 4,258 , 4,138 3,003 1. 5 4,1 3,8 4,5 3,65 5 6 4,25 2,8 3,75 4,3 4 4,15 4,38 4,13 4,45 0 3,5 0 0 4,5 2,6 2. 5 2,32 3 4,5 4,16 3,83 3,205 3,85 4 3,33 3,285 3,58 3,75 2,5 0,83 3,375 4 3,65 0 4,15 , 2,5 3,25 0 0 4,23 0 0 0 0 0 0 0 0 Round 2 3. 4. 10 5 7,5 5 7 4,5 8,9 4,5 9,3 4,5 9,2 5 8,9 5 9,4 5 4 5 8,8 5 7,5 5 8,5 5 6,5 3,5 3 0 4,5 3 5,4 5 5. 5 4,6 3,9 4,8 2,5 2 1,5 2,8 3,8 3,7 1,2 1 1,1 1,2 0,7 2 3,17 2 3,5 0,4 1,875 1 4,3 0 2,5 1 1 0,9 2,125 3 0,4 8,9 4 3 0,9 0,7 2,045 , 0,25 1,25 6 , 3,9 0 3,5 4 0 1,5 1 0 2,17 7,5 0 0 1 1 0 Sum 30 23,52 22,2 27,2 24,11 25,03 24,605 25,3 19,6 24,58 21,285 22,08 19 11,08 13,16 20,225 0 12,57 0 0 14,175 5,5 0 11,425 19,25 0 17,195 , 11,65 4,5 0 8,5 7,4 0 0 0 0 0 0 0 0 1. 5 3,5 3,5 4 3,5 4 Round 3 3. 4. 8 9 8 5,499 7,002 3,2 6,201 8 6,804 0 1,602 8 8 4,302 3,2 2,196 8 4,725 0 1,305 0 0,801 0 0,504 0 0 3,5 4,5 3,5 3,5 3 3,5 2,5 2. 8 4,83 7,17 3,54 7,17 2,33 0,375 4,08 6,5 5,21 3,17 1,5 1,5 0 1 5 0 0,833 0 0 0,594 0,594 2 1,5 0 0,999 Sum 30,00 21,83 17,67 16,94 25,47 7,93 8,38 19,88 16,40 21,44 7,98 5,30 5,50 2,50 0,00 0,00 , 0,00 1,59 6,43 0,00 4,50 0,00 0,00 0,00 0,00 0,00 0,00 , 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 , 0,00 0,00 Part A 30,00 23,50 24,50 22,50 23,00 23,50 25,00 24,00 24,00 22,50 19,50 24,50 22,00 21,50 21,50 20,00 , 21,00 21,50 23,00 19,00 0,00 17,00 21,50 0,00 0,00 0,00 0,00 , 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 , 0,00 0,00 Part B1 8,00 2,35 4,47 2,59 1,41 3,53 3,76 0,00 3,29 0,00 5,88 7,29 0,71 6,82 2,59 4,71 , 8,00 7,29 3,29 3,06 0,94 0,00 FINAL ROUND Part B2 Part B3 10,00 6,00 6,25 6,00 7,50 6,00 7,78 4,44 0,00 3,36 7,22 5,76 4,17 5,28 3,61 0,00 5,00 5,76 0,28 0,00 5,00 4,08 8,33 5,28 4,03 4,80 0,00 3,24 2,78 0,48 0,00 0,00 , , 5,83 3,84 0,83 0,72 7,08 0,00 0,83 0,96 0,00 0,00 0,00 0,00 6,11 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 , , 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 , , 0,00 0,00 0,00 0,00 Part B4 6,00 0,00 -4,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 1,00 0,00 0,00 0,00 0,00 , 0,00 0,00 0,00 0,00 0,00 0,00 Sum 60,00 38,10 38,47 37,31 27,77 40,01 38,21 27,61 38,05 22,78 34,46 46,41 31,53 31,56 27,35 24,71 , 38,67 30,35 33,38 23,85 0,00 17,94 27,61 0,00 0,00 0,00 0,00 , 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 , 0,00 0,00