Solubility Solubility Saturated Solutions 1. Cannot dissolve any more solute 2. Contain undissolved solid 3. Ex: BaSO4 BaSO4(s) Ba2+(aq) + SO42-(aq) Ksp = [Ba2+][SO42-]/[BaSO4] Ksp = [Ba2+][SO42-] 1 Solubility 2 Solubility Writing Ksp Ksp and Solubility 1. NaCl has a solubility of 35.7 g/100 mL. What is the molar solubility and Ksp? (Ans: 6.10 M, 37.2) Examples: Ca3(PO4)2 Calcium Carbonate Chromium (III)Hydroxide Discuss Magnitude of Ksp 2. CaCl2 has a solubility of 74.5 g/100 mL. What is the molar solubility and Ksp? (Ans: 6.71 M, 1.21 X 103) 3 4 Solubility Ksp and Solubility 3. BaF2 has a molar solubility of 0.0068 M. How many grams will dissolve in 600.0 mL? (Ans: 0.72 grams) 4. MgI2 has a molar solubility of 5.32 M. How many grams will dissolve in 500.0 mL? (Ans: 740. grams) 5 6 1 Solubility Calculating Ksp 1. A saturated soln of AgCl is found to have an eq. concentration of Ag+ 1.35 X 10-5 M. Calculate Ksp. (Ans: 1.82 X 10-10.) 2. A saturated soln of MgF2 is prepared. At eq. the concentration of Mg2+ is measured to be 0.0012 M. Calculate Ksp. (Ans: 6.9 X 10-9) 6. The solubility of Fe(OH)3 is 0.0079 g/L. a. Calculate the molar solubility (7.4 X 10-5 M) b. Calculate Ksp? (Ans: 8.1 X 10-16) c. Calculate how many grams will dissolve in 250 mL (0.0020 g) d. Explain whether you would you expect the freezing point of the solution to be higher, lower, or just about that of water. e. List the proper name of the compound. 7 7. The solubility of Al2(SO4)3 is 31.3 g/L. What is the Ksp? (Ans: 6.9 X Calculating Solubility 10-4) 8 Solubility Calculating Solubility 10. The Ksp of Cu(N3)2 is 6.3 X 10-10. How many grams of Cu(N3)2 will dissolve in 500 mL? (Ans: 0.0399 grams) 8. What is the solubility in g/100 mL of CaSO4 if the Ksp is 2.4 X 10-5? (Ans: 0.067 g/100 mL) Cu(N3)2 (s) Cu2+(aq) + 2N3-(aq) 9. What is the solubility of CaF2 in g/100 mL if the Ksp is 3.9 X 10-11? (Ans: 0.0016 g/100mL) 9 Solubility Solubility Common Ion Effect and Solubility Common Ion Effect and Solubility Hard Water – Contains high concentration of Ca2+ and Mg2+. a) Comes from minerals b) CaCO3 buildup CaCO3(s) Ca2+(aq) + CO32-(aq) c) Does not lather well Common Ions decrease solubility CaF2(s) Ca2+(aq) + 2F-(aq) a) Add Ca2+ (shifts to reactants) b) Add F- (shifts to reactants) “Real world” water samples are usually not pure 10 11 12 2 Solubility Solubility Common Ion Effect and Solubility 13 Common Ion Effect and Solubility Soft Water a) Few minerals b) Often lathers too well c) Mg2+ and Ca2+ replaced by Na+ Sulfur Water Contains high concs. Of SO42- and SO32(turn to H2S) 14 Solubility Common Ion Effect and Solubility 1. Calculate the molar solubility of CaF2 in a solution that is 0.010 M Ca(NO3)2. (Ans: 3.1 X 10-5 M.) What is the molar solubility of Mn(OH)2 in 0.020 M NaOH? (Ans: 4.0 X 10-10) 2. Calculate the molar solubility of CaF2 in a solution that is 0.010 M NaF. (Ans: 3.9 X 10-7 M.) 15 Solubility 16 Solubility Common Ion Effect and Solubility pH and Solubility A. Hydroxides – Mg(OH)2 Milk of Magnesia Applications 1. U(OH)3 2. CaCO3 buildup 3. FePO4 and water (can get PO4 from soda) Mg(OH)2(s) Mg2+(aq) + 2OH-(aq) 17 a) Basic solns – LeChatelier (less soluble) b) Acidic solns – More soluble (H+ + OH- H2O) 18 3 Solubility Solubility pH and Solubility B. Carbonates – More soluble in acidic solns. CaCO3(s) + 2HCl(aq) H2O(l) + CO2(g) +CaCl2(aq) pH and Solubility 1. What is the molar solubility of Ce(OH)3 (Ksp=1.5 X 10-20) in a soln of pH 9.0? (Ans: 1.5 X 10-5 M) 2. What is the molar solubility of Ce(OH)3 (Ksp=1.5 X 10-20) in a soln of pH 13.0? (Ans: 1.5 X 10-17 M) 19 The Ksp of Cu(N3)2 is 6.3 X 10-10. How many grams of Cu(N3)2 will dissolve in 500 mL? (Ans: 0.0399 grams) Cu(N3)2 (s) Cu2+(aq) + 2N3-(aq) What is the molar solubility of Sn(OH)2 in a soln of pH 9.2? The Ksp of Sn(OH)2 is 1.41 x 10-28. (Ans: 5.6 X 10-19 M) 20 Solubility Will a ppt form? 1. Q = Reaction Quotient (calculate from Initial concentrations) Q < Ksp Shifts to prod (no ppt) Q = Ksp Eq. (ppt) Q > Ksp Shifts to reac.(ppt) 2. Our Question: Is Q > Ksp? 21 Solubility 22 Solubility Will a ppt form? Will a ppt form? 1. Will a ppt form if a solution is made such that [Ca2+] = 0.0104 M and [SO42-]=0.0082 M? (Ans: Q = 8.5 X 10-5, ppt forms) 2. Will a ppt form when 100.0 mL of 0.0080 M Pb(NO3)2 is added to 400.0 mL of 0.0050 M Na2SO4? (Ans: Q = 6.4 X 10-6 so PbSO4 ppts.) 23 24 4 Solubility Will a ppt form? 3. Will a ppt form when 50.0 mL of 0.020 M NaF is added to 10.0 mL of 0.010 M Ca(NO3)2? (Ans: Q = 4.6 X 10-7 so CaF2 ppts.) 4. Will a ppt. Form at pH = 8 for a solution of 0.0040 M Mg(NO3)2? 5. At what pH will it form? (9.8) 6. At what pH will a ppt form from a solution of 0.001 M Ni(NO3)2? (ANS: 7.89) 25 Solubility 26 Solubility Selective Precipitation Selective Precipitation 1. A soln contains 0.01 M Ag+ and 0.020 M Pb2+ ions. If NaCl is slowly added to the soln. which ion will ppt first? (Ans: AgCl will ppt first, [Cl-] = 1.8 X 10-8 M) 1. You can separate ions based on different solubilities 2. Can be used to remove harmful ions from water. 27 Solubility Selective Precipitation 2. A soln contains 0.050 M Mg2+ and 0.020 M Cu2+ ions. If KOH is slowly added to the soln. which ion will ppt first? (Ans: Cu(OH)2 will ppt first, [OH-] = 1.5 X 10-9 M) 29 28 48.a) Solubility is how many grams/100 mL dissolve, Ksp is an equilibrium constant. b). Ksp = [Mn2+][CO32-] Ksp = [Hg2+][OH-]2 Ksp = [Cu2+]3[PO43-]2 50.a) 4 X 10-6 b) 3.00 X10-8 -5 c) 2.5 X10 g Cu(OH)2 52.6.4 X10-9 30 5 Solubility 54.a) 1.82 X10-3 g/L b) 4 X10-11 g/L c) 1 X10-4 g/L 56. a) 8 X10-4 M b) 8 X10-8 M -12 c) 8 X10 M 64.a) Q = 2 X10-13 ppt b) Q = 3.3 X10-5 ppt 68. a) 1.1 X10-8 vs. 3.2 X10-5, BaSO4 first 31 32 Three unlabeled bottles are found. They may contain KNO3, Ca(NO3)2 or Cu(NO3)2. The student labels them A, B and C. After testing the solutions with NaOH and Na2SO4, the following results are tabulated. A B C NaOH Clear Cloudy Clear Na2SO4 Clear Clear Cloudy i. Identify the contents of each bottle. ii. At what pH would a ppt form in solution B if we assume the molarity is about 0.10 M? (4.84) iii. Write the ionic reaction that occurs between solution C and Na2SO4. iv. Calculate the molar solubility of the precipate that solution C forms with Na2SO4. (4.9 X 10-3) 33 6