Name:____________ Chemistry 114 Fourth Hour Exam 1A(6 points) I want to make a solution that has a pH of 8.2. How many moles of NaOH will I need to make 1 liter of this solution? pH=8.2; pOH=14-8.2=5.8 5.8= -log[OH-] -5.8=log[OH-] 10-5.8 = [OH-] 1.6x10-6 = [OH-] = [NaOH] so I need to add 1.6x10-6 moles of NaOH to 1 l of water 1B (7 points) I am going to make a solution that is .05M ammonia. What is the pH of this solution? (The KB of ammonia is 1.8x10-5) I give a Kb in this equation, so you don’t need to calculate it At start after rxn NH3(aq) + H2O(l)6 NH4+(aq) + OH-(aq) .05 Large 0 0 .05-X Large X X Kb = 1.8x10-5 = [NH4+][OH-]/[NH3] 1.8x10-5 = X2/(.05-X) Assume .05-X..05 1.8x10-5 .X2/.05 X=sqrt(1.8x10-5×.05) X = 9.5x10-5 = [OH-]=[NH4+] pOH = -log(9.5x10-5) =3.02 pH = 14-pOH = 10.98 2. (12 points) I am going to mix .5 moles of acetic acid (HC2H3O2) with 3.7 moles of sodium acetate (NaC2H3O2) to make 2L of solution. What is the pH of this solution (The Ka of acetic acid is 1.8x10-5). pH = pKa + log(A-/HA) pKa = -log Ka = -log(1.8x10-5) = 4.74 mole A- = 3.7 mole HA = .5 pH = 4.74 + log [(3.7/2)/.5/2)] pH = 4.74 + log (3.7/.5) pH = 4.74 +.87 pH = 5.61 2 3. (12 points) Class the following compounds as acids (A) bases (B) or neutral (N) K2 O __B__ KNO3 ___N_ NH4NO3 _A___ NO __A__ CaO __B__ Pb(NO3)4__A___ KHSO4 __A__ K2SO4 ___B_ 4. (13 points) In chapter 22 you learned that aromatic compounds undergo substitution reactions. An example from the text is shown below: A proposed mechanism for this reaction is: Arrows sketched on test to show mechanism don’t show up here In the above mechanism: Is compound A a Lewis acid or a Lewis base (circle one) Is compound B a Lewis acid or a Lewis base (circle one) Is compound C a Lewis acid or a Lewis base (circle one) Is compound D a Lewis acid or a Lewis base (circle one) Is compound E a Lewis acid or a Lewis base (circle one) Is compound F a Lewis acid or a Lewis base (circle one) 3 5. Cu(IO3)2 has a solubility of 3.3x10-3 M. A. (3 points) What is the concentration of Cu+2 in a saturated solution of Cu(IO3)2? Cu(IO3)2 W Cu+2(aq) + 2IO3-(aq) 1:1 so for every mole of-3 Cu(IO3)2 that dissolves, 1 mole of Cu+2 appears in solution +2 [Cu ] = 3.3x10 M B. (3 points) What is the concentration of IO3-in a saturated solution of Cu(IO3)2? From the above equation, for every mole of Salt you get 2 moles of IO3[IO3-] = 2 × 3.3x10-3 = 6.6x10-3M C. (3 points) What is the Ksp (solubility product) of Cu(IO3)2? Ksp = [Cu+2][IO3-]2 =3.3x10-3 -7× (6.6x10-3)2 =1.77x10 D. (3 points) If I add Cu(NO3)2 to a saturated solution of Cu(IO3)2, will the solubility of Cu(IO3)2 increase, decrease, or remain constant? Common ion effect. Adding excess Cu+2 is like adding extra product, so reaction will go to the left, more precipitate will form and solubility will decrease. 6. (13 points) The enthalpy of vaporization of mercury is 58.51 kJ/mol, and the entropy of vaporization is 92.92 J/mol@K. What is the normal boiling point of mercury? )Go = )H0 -T)So At the normal boiling point liquid and vapor are in equilibrium. If they are at equilibrium then )Go =0 0 = )H0 -T)So; )H0 =T)So 58510 = X(92.92) (converting )H to J so units are consistent) X= 58510/92.92 = 630K or 357oC 4 7. Given the following data: S(s) + 3/2 O2(g) - SO3(g) 2SO2(g) + O2(g) - 2SO3(g) )G o= -371 kJ )G o= -142 kJ A (9 points) Calculate )G o for the reaction S(s) + O2(g) - SO2(g) A Hess’ law type problem Can use 1st equation as is Must reverse second equation and divide by 2 S(s) + 3/2 O2(g) - SO3(g) )G o= -371 kJ 2/2 SO3(g) - 2/2 SO2(g) + ½ O2(g) )G o= +142/2 kJ )Go net = -371+ 71 = -300kJ B (4 points) Assuming you are at 25o C use your answer for 7A, to calculate the Keq for the same reaction. (If you don’t have an answer for 7A, just write down a number and use it to get a corresponding Keq) )Go = -RTlnK = -8.314(J/K@mol) × 298K ×lnK -300,000/(-8.314×298) = lnK 121=lnK K = e121 K = 3.9x1052 8. (12 points) Define the following terms: Positional Entropy - Entropy calculated based on the probability of finding a particular state in a collection of different states Free Energy )G, G = H -TS, The energy in a system available to do work. A spontaneous process A process that will occur without outside intervention. The second law of thermodynamics For any spontaneous process the entropy of the universe always increases. The third law of thermodynamics The entropy for a perfect crystal at 0K is 0. A buffer A solution that resists changes to pH when either an acid or base is added to it. Usually a mixture of an acid and its conjugate base, or a base and its conjugate acid.