Chemistry 30AP Chapter 13 (mostly) - Properties of Solutions 1. Create a vocabulary list from the terms in bold on pages 563 and 564. Include the terms solute, solvent, solubility, dissolution, precipitate, electrolyte, nonelectrolyte, spectator ions, polar, nonpolar. 2. Write dissociation equations for the substances in question 4.16. Determine the concentration of each ion in solution if each salt has molarity of 0.20 mol/L. a) MgI2 (aq) Mg2+(aq) + 2 I1-(aq) 0.20 M 0.40 M b) Al(NO3)3 (aq) Al3+(aq) + 3 NO31-(aq) 0.20 M 0.60 M c) HClO3 (aq) H1+(aq) + ClO41-(aq) 0.20 M 0.20 M d) KC2H3O2 (aq) K1+(aq) + C2H3O21-(aq) 0.20 M 0.20 M 3. Predict the solubility of the substances found in questions 4.19 and 4.20. 4. Write a molecular equation, complete ionic equation and net ionic equation for 4.24. a) Cr2(SO4)3 (aq) + 3 (NH4)2CO3 (aq) Cr2(CO3)3 (s) + 3 (NH4)2SO4 (aq) 2 Cr3+(aq) + 3 SO42- (aq) + 6 NH41+(aq) + 3 CO32- (aq) Cr2(CO3)3 (s) + 6 NH41+(aq) + 3 SO42- (aq) 2 Cr3+(aq) + 3 CO32- (aq) Cr2(CO3)3 (s) b) Ba(NO3)2 (aq) + K2SO4 (aq) BaSO4 (s) + 2 KNO3 (aq) Ba2+(aq) + 2 NO31- (aq) + 2 K1+(aq) + SO42- (aq) BaSO4 (s) + 2 NO31- (aq) + 2 K1+(aq) Ba2+(aq) + SO42- (aq) BaSO4 (s) c) Fe(NO3)3 (aq) + 3 KOH (aq) Fe(OH)3 (s) + 3 KNO3 (aq) Fe3+(aq) + 3 NO31- (aq) + 3 K1+(aq) + 3 OH1- (aq) Fe(OH)3 (s) + 3 NO31- (aq) + 3 K1+(aq) Fe3+(aq) + 3 OH1- (aq) Fe(OH)3 (s) 5. Draw Lewis structures for the substances in question 8.46. 6. Draw Lewis structures, give the electron-domain and molecular geometries, and determine the polarity of the substances in question 9.36. a) IF - b) CS2 - 16 valence electrons; C does not have octet after each S gets 8 electrons, so double bonds are made. - C has linear electron domain - molecular geometry is linear - bond is polar covalent, but symmetry causes bond dipoles to cancel; the molecule is non-polar c) SO3 - 24 valence electrons; 1 double bond is made to give S a full octet. S has trigonal planar electron domain molecular geometry is planar trigonal bond is slightly polar covalent, but symmetry causes bond dipoles to cancel; the molecule is non-polar d) PCl3 - 26 valence electrons. P has tetrahedral electron domain molecular geometry is trigonal pyramidal P-Cl bond is polar and the shape means the dipoles do not cancel; this is a polar molecule e) SF6 - 48 valence electrons - electron domain and molecular geometry are octahedral - S-F bond is polar, but the symmetry means that the bond dipoles cancel. This is a non-polar molecule. f) - IF5 14 valence electrons both have a tetrahedral electron domain since each makes 1 bond, the molecular geometry is “linear” the bond is polar covalent, since the atoms are well separated on the periodic table (large electronegativity difference). There is no symmetry to cancel the bond dipole, so this molecule is polar. 42 valence electrons electron domain is octahedral molecular geometry is square pyramidal I-F bond is polar, but the symmetry means that the bond dipoles do not cancel. This is a polar molecule. 7. Explain briefly how the solution process works, including enthalpy and entropy considerations (13.1) 8. Use the principle of “like dissolves like” to answer 13.28. 9. How many grams of solute are required to saturate 100 g of water in each of the following solutions? (4 marks) a. KCl at 80C 52 g c. K2Cr2O7 at 50C 30 g b. NaNO3 at 10C 80 g d. KClO3 at 90C 46 g 10. What is each of the solutions below: saturated, unsaturated or supersaturated ? All of the solutes are mixed with 100 g of water. (4 marks) a. 40 g of NaCl at 50C supersaturated b. 30 g of NaNO3 at 30C unsaturated c. 70 g of KCl at 20C supersaturated d. 86 g of Pb(NO3)2 at 50C saturated 11. How many grams of KNO3 per 100 g of water would be crystallized from a saturated solution as the temperature drops. Show your work. (8 marks) a. 54C to 20C 100 g to 30 g = 70 g crystallized c. 54C to 40C100 g to 64 g = 36 g crystallized b. 50C to 30C 88 g to 44 g = 44 g crystallized d. 40C to 0C 64 g to 14 g = 50 g crystallized 12. How many additional grams of K2Cr2O7 are required to keep each of the following K2Cr2O7 solutions saturated during the temperature changes indicated ? Show your work. (8 marks) a. 100 g of water with a change of 10C to 30C ? 8 g to 16 g = 8 g must be added b. 200 g of water with a change of 10C to 30C ? 2 x (8 g to 16 g) = 16 g must be added c. 100 g of water with a change of 40C to 90C ? 22 g to 68 g = 46 g must be added d. 1000 g of water with a change of 40C to 90C ? 10 x (22 g to 68 g) = 460 g must be added e. 100 mL of water with a change of 10C to 60C ? 1 mL H2O = 1 g H2O 8 g to 38 g = 30 g must be added 13. At a. b. c. d. what temperature are the following solutes equally soluble in 100 g of water ? (4 marks) NaCl and KNO3 24C K2Cr2O7 and Ce2(SO4)3 12C KCl and KNO3 22C O2 and CO they are never equally soluble 14. Which solute is least affected by the temperature changes ? Give one answer for the salts and one for the gases. (2 marks) NaCl for the salts, He for the gases 15. Which salt decreases in solubility as temperature increases? (1 mark) Ce2(SO4)3 16. How does the solubility of all “ionic solids” change with an increase in temperature ? Explain. (3 marks) as a rule, ionic solids solubility increases with an increase in temperature if solvation is an endothermic process, the more energy added, the greater the solvation 17. How does the solubility of all “gases” (CH4, O2, CO and He) change with increased temperatures ? Explain. (3 marks) as a rule the solubility of gases decreases with an increase in temperature gases are generally non-polar. As temperature rises the greater kinetic energy of the system forces them out of solution as a result of their weak attraction for the solvent. 18. Complete 13.32 19. 19.2 g of sodium chlorate is dissolved in 689 g of water. a) Calculate the mass percent of sodium chlorate in solution. Mass % = Mass of solute x 100 % = Total Mass of Solution 19.2 g 19.2 g + 689 g x 100 % = 2.71 % b) Calculate the mass percent of sodium ions in solution. NaClO3 19.2 g x 22.99 g/mol (22.99 + 35.45 + 3(16.00)) g/mol Mass % = Mass of solute x 100 % = Total Mass of Solution = 4.14 g of compound is Na 4.14 g 19.2 g + 689 g x 100 % = 0.586 % 20. Chromium is found in waste water at a mass percent of 0.00215 %. a) What mass of chromium would be found in 500 000 L of waste ? 0.00215 % 100 % x 500 000 L x 1 kg 1L = 10.8 kg Cr b) What is the concentration of chromium in ppm ? 1 ppm = 1 µg solute 1 g solution = 1 mg 1 kg = 10.8 kg x 500 000 kg 106 mg 1 kg = 21.5 ppm 21. Sulfur dioxide is present in air at a concentration of 65 ppb, weight per weight of air. a) What mass of sulfur dioxide is found in a classroom that has dimensions of 6.00 m by 8.00 m by 2.5 m ? The density of air is 1.25 x 10-3 g/mL. Mass of air = 1.25 x 10-3 g/mL x (1 mL / 1 cm3) x 6.00 m x 8.00 m x 2.5 m x ((102 cm)3 / (1 m)3) = 1.48 x 105 g 65 ppb = 65 ng SO2 1 g air x 1.48 x 105 g = 0.00959 g SO2 b) What would the mass percentage if the sulfur dioxide were dissolved in 500. mL of water? 0.00959 g SO2 500 mL x 1g/1mL x 100 % = 0.00192 % 22. A commonly purchased disinfectant is a 3.0% (by mass) solution of hydrogen peroxide in water. Assuming that the density of the solution is 1.0 g/cm3, calculate the molarity, molality and mole fraction of the H2O2. 3.0 % 100 % x 1000 g solution = 30 g H2O2 in 1L of solution, given a 1.0 g/cm3 density H2O2 = 34.02 g/mol; 30 g/34.02 g/mol = 0.88 mol/L H2O2 if the H2O2 mass = 30. g in 1 L of solution, then 1000 g of solution contains 1000 g – 30.g = 970 g H2O = 0.97 kg Molality = 0.88 mol H2O2 = 0.91 mol/kg 0.97 kg H2O 970 g H2O 18.02 g/mol = 53.8 mol H2O Mole Fraction = 0.88 mol H2O2 0.88 mol H2O2 + 53.8 mol H2O = 0.016 23. The most concentrated aqueous solution of NaOH that can be prepared is approximately 50% NaOH by mass. Calculate the mole fraction and molality of NaOH in this solution. 50 % NaOH: in 100g total mass, 50 g is NaOH and 50 g is H2O (1.25 mol NaOH, 2.77 mol H2O) Mole Fraction = Molality = 1.25 mol NaOH 1.25 mol NaOH + 2.77 mol H2O 1.25 mol NaOH 50 g H2O (1 kg/1000g) = 0.311 = 25 mol/kg 24. A solution is prepared by dissolving 50.0 g cesium chloride in 50.0 g water. The density of the solution is 1.58 g/cm3. Calculate the mass percent, molarity, molality, and mole fraction of the cesium chloride. Mass % = 50.0 g CsCl x 100 % = 50.0 % 50.0 g CsCl + 50.0 g H2O Volume of solution = 100.0 g 1.58 g/cm3 Moles CsCl = = 63.3 mL (1 l / 1000 mL) = 0.0633 L 50.0 g = 0.297 mol (132.91 + 35.45) g/mol Molarity CsCl = Molality CsCl = 0.297 mol 0.0633 L 0.297 mol 0.0500 kg H2O = 4.69 mol/L = 5.94 mol/kg Moles H2O = 50.0 g = 2.77 mol 18.02 g/mol Mole Fraction CsCl = 0.297 mol = 0.0967 0.297 mol + 2.77 mol 25. A bottle of wine contains 12.5% ethanol by volume. The density of ethanol is 0.79 g/cm 3. Calculate the concentration of ethanol in wine in terms of mass percent and molality. Assume 1000. mL of wine: 12.5 % x 1000. mL = 125 mL ethanol, 1000. mL – 125 mL = 875 mL H2O 100 % = 875 g Mass of ethanol = (0.79 g/cm3)(125 mL) = 98.8 g Moles of ethanol = 98.8 g 46.08 g/mol Mass % C2H5OH = 98.8 g x 100 = 10.1 % 98.8 g + 875 g Molality C2H5OH = 2.14 mol 0.875 kg = 2.14 mol = 2.45 mol/kg 26. How would one prepare 3.5 L of 0.55 M NaCl from solid NaCl? 3.5 L x 0.55 mol/L x (22.99 + 35.45) g/mol = 110 g of NaCl is placed in a flask and diluted to a total volume of 3.5 L. 27. How would one prepare 3.00 x 102 g of 0.115 m ethylene glycol (C2H6O2) from ethylene glycol and water? Total mass is 300. g Molar mass of C2H6O2 = 62.08 g/mol 0.115 mol/kg = 1.15 x 10-4 mol/g = (x g / 62.08 g/mol) 300. g – x g x = 2.13 g ethylene glycol is added to (300. g – 2.13 g) = 297.87 g water Complete 13.56 to 13.74, even