Name: April 11, 2011 Chemical Principles II Second Hourly Exam 1) When the question says to calculate or estimate, all calculations must be shown CLEARLY to receive credit! 2)Answers must be filled in at end of each question 1 ( 10 pts) Calculate the pH of a solution prepared by adding 0.080 mol nicotinic acid (NtH) and 0.040 mol of sodium hydroxide to enough water to make a 2.00 L solution. pKa (NtH)=4.85 NtH + OH- Nt- + H2O Three component problem making a weak acid buffer. 0.080 mol NtH 0 mol Nt 0.040 mol OHmol HA - mol OH [H+] = Ka -----------------------mol A + mol OH mol HA - mol OH 0.080 mol NtH – 0.040 mol OH pH = pKa – log ---------------------- = 4.85 – log -------------------------------------mol A + mol OH 0 mol Nt- + 0.040 mol OH 0.040 mol NtH pH = 4.85 – log -----------------0.040 mol Nt- = 4.85 – log 1 = 4.85 ANSWER = 4.85 2 (10 pts) Calculate the pH after 100.0 mL of 0.10 M HCl are added to a solution prepared by adding 0.080 mol nicotinic acid (NtH) and 0.040 mol of sodium nicotinate (NaNt) to enough water to make a 2.00 L solution. 1) Nt- + HCl NtH + Cl2) calculate moles of the three components: 0.080 mol NtH 0.040 mol Nt 0.100 L x 0.10 MHCl = 0.010 mol HCl 3) 0.080 mol NtH + 0.010 mol HCl 0.090 mol NtH pH = 4.85-log ---------------------------------------- = 4.85 – log ------------------ = 4.85 - log 3 = 4.37 0.040 mol Nt- - 0.010 mol HCl 0.030 mol Nt ANSWER = 4.37 1 3 (5 pts) (a)What is the concentration of punicate [PecO2-2] in 0.10 M punic acid H2PecO2? Ka1 = 1.0 x 10-6, Ka2 = 1.0 x 10-11? (b)Calculate its pH. (a) ANSWER [PecO2-2] = Ka2 = 1.0 x 10-11 (b) ANSWER [H+] = sqrt (Ka1 x [H2PecO2] = sqrt (1.0 x 10-6,x 0.10 M) = 3.5 4 (3 pt) The pH of 100.0 mL of a buffer solution that is 0.25 M in HOAc and 0.25 M in OAc- is 4.74. Ka (HOAc) = 1.8 x 10-5. What is the pH when 20.0 mL of water are added to this solution? 28ANSWER = 4.74 5 (8 pts) The Kb = 1.8 x 10-5 for NH3(aq) NH4+(aq) + OH-(aq). Calculate the pH of 10.0 ml of a 0.10 M NH4Cl solution. One component, Salt of weak base is acidic, Calculate [H+] from Ka NH4+ NH3 + H+ Ka = Kw / Kb = 10-14 / 1.8 x 10-5 = 5.56 x 10-10 [H+] = sqrt( Ka . [NH4+]) = 5.56 x 10-10 x 0.10M NH4+ = 3.09 x 10-5 pH = - log(3.09 x 10-5) = 4.5 ANSWER = 4.5 6 (8 pts) Calculate the pH of 100 ml of a 0.010M sodium plastate solution, Ka (plastic acid, HC3H5O3) = 1.0 x 10-4 One component, Salt of weak acid is basic, Calculate [OH-] from Kb Kb = Kw / Ka = 10-14 / 1.0 x 10-4 = 1.0 x 10-10 [OH-] = sqrt(1.0 x 10-10 x 0.01M plastate) = 10-6 pOH = 6 pH = 14 – pOH = 8 44ANSWER = 8.0 2 7 (2 pts) What is the criterion for “dropping x” in an equilibrium expression? The equilibrium constant must be at least three orders of magnitude less than the concentrations. 8 (4 pt) Draw a circle around the stronger acid in each pair of compounds. CF3NH2 and CF3OH, H2O and H2S, – – HSO4 and HPO4 , HClO3 and HClO2 10 (5 pt) Give the formulas and names of the strong acids. HCl hydrochloric acid HBr hydrobromic acid HI hydroiodic acid HNO3 nitric acid H2SO4 sulfuric acid HClO4 perchloric acid HClO3 chloric acid 9 (2 pts) Identify any Lewis acid (LA) and Lewis base (LB) in the following reactions below. If there is no acid-base reaction, put NAB after equation. +3 +3 -1 3 Cl + Fe + 6 CO [Fe(CO)6] + 3 (Cl ) Zn + 2 HCl ZnCl2 + H2 (LA): Fe +3 (LA): NAB (Ox-Red reaction) (LB): CO (LB): 57 3 Useful information: R = 8.314 J/mol or 0.08206 L•atm/mol•K Substance Ho298-f kJ/mol So298-f J/mol.K C4H10(g) -126 201.5 H2(g) Not given 130.6 C4H6 (g) -26 192.5 10 ( 12 pts each) A process for the decomposition of butane involves the following equilibrium: C4H10 (g) C4H6 (g) + 2H2(g) A B 2H a) Calculate HoSoGo and K for this reaction at 298K. Under these conditions, is the reaction at equilibrium or will H2 be spontaneously formed? (You can use the abbreviations A, B, H instead of writing the molecular formulas.) Use ΔHo and So of formation from tables to calculate ΔHo and ΔSo of reaction. ΔXo(reaction) = ( n x ΔXof PRODUCTS) - ( n x ΔXof REACTANTS) ΔGo298 = ΔHo298 – 298K ΔSo298 K298 = e^(- ΔGo298 / RT) Use R = 8.314 J/mol , T = 298K) Answers: HoSoGo _____________ K _____________ b) Estimate Go and K for this reaction at 500K. Under these conditions, is the reaction at equilibrium, or will H2 spontaneously be formed when raising the temperature? ΔGo500 ≈ ΔHo298 – 500K ΔSo298 K500 = e^(- ΔGo500 / RT) Use R = 8.314 J/mol , T = 500K) Answers: Go _____________ K _____________, formed?_____________ 4 c) Calculate G for this reaction at 500K and all gases with partial pressure = 10.0 atm. Under these conditions, is the reaction at equilibrium or will more H2 tend to be formed when raising all the partial pressures from 1.0 to 10.0 atm for this reaction? ΔG = ΔGo + RT lnQ Q = p(C4H6) . p2(H2) / p(C4H10) = 10 x 102 / 10 = 100 Answers: Go _____________ K__ same as b: K500___, formed?_____________________ 11 ( 2 pts) What are the “standard conditions” that the symbol refers to in the term G? 1 Molar contration and 1 barr pressure The symbol does not refer to the temperature, which is written as a subscript The standard temperature is 298.15K. 12 (5 pts) (5 pts) Calculate the solubility product, Ksp of RaBr2 whose solubility is 1. x 10-6 mol/L. “Solubility” means the number of moles of the entire substance (RaBr2) per L of solution. x Mol RaBr2 = x mol Ra2+ = 2x mol BrKsp = [x][2x]2 = x . 4x2 = 4 x 3 = 4 . (1. x 10-6) = 4.0 . 10-18 M Ksp_______________________________ Bonus section BONUS (5 pts) There are two methods to estimate the ΔGat another temperature than 298K. Use the other method than you used in question 10b. Van’t Hoff Ln(KT1 / KT2) = - ΔHo/R . (1/T1 – 1/T2) The First and Second Punic Wars were fought between Roman and Carthage. 5