Chapter 12: Physical Properties of Solutions 1.What is the molarity of a solution that is 5.50 % by mass oxalic acid (C2H2O4) and has a density of 1.0244 g/mL? Ans: 0.626 M Category: Medium Section: 12.3 2.What is the molality of a 0.142 M Na3PO4(aq) solution that has a density of 1.015 g/mL? Ans: 0.143 m Category: Medium Section: 12.3 3.What is the mole fraction of sodium phosphate in a 0.142 M Na3PO4(aq) solution that has a density of 1.015 g/mL? Ans: 0.00257 Category: Medium Section: 12.3 4.A solution is prepared by adding 40.3 g of Mg(NO3)2 to 127 g of water. Calculate the mole fraction and molality of magnesium nitrate in this solution. Ans: mole fraction = 0.0371; molality = 2.14 m Category: Medium Section: 12.3 5.What is the concentration of O2(g) in water at 25°C exposed to a partial pressure of oxygen of 325 mmHg? The Henry's law constant for oxygen gas at 25°C is 1.3 10–3 mol/L·atm. Ans: 5.6 10–4 M Category: Medium Section: 12.3 6.How many grams of propanol (C3H7OH, 60.10 g/mol) would be needed to make 750 mL of a solution with an osmotic pressure of 25 atm at 25°C? (R = 0.0821 Latm/Kmol) Ans: 46 g Category: Medium Section: 12.6 7.An organic compound was prepared and purified by chromatography. A conductivity measurement showed the compound to be a nonelectrolyte. Elemental analysis gave an empirical formula of CH3O. A 0.127 g sample of the compound was dissolved in water and diluted to 100.0 mL, and the osmotic pressure of that solution was determined to 0.492 atm at 20°C. Determine the molar mass and molecular formula of the compound. (R = 0.0821 Latm/Kmol) Ans: 62.1 g/mol, consistent with C2H6O2 Category: Difficult Section: 12.6 Page 219 Chapter 12: Physical Properties of Solutions 8.How many liters of ethylene glycol antifreeze (C2H6O2) would you add to your car radiator containing 15.0 L of water if you needed to protect your engine to –17.8°C? (The density of ethylene glycol is 1.1 g/mL. For water, Kf = 1.86°C/m.) Ans: 8.1 L Category: Difficult Section: 12.6 9.A 100.-mL sample of water is taken from the Pacific Ocean, and the water is allowed to evaporate. The salts that remain (mostly NaCl) have a mass of 3.85 g. Calculate the original concentration of NaCl, in g per liter, in the water sample. Ans: 38.5 g/L Category: Easy Section: 12.3 10The solubility of oxygen in water is about 4.5 10–2 g/L. The water portion of an adult's total blood supply is about 5 liters. How many grams of oxygen could dissolve in 5 liters of water? Ans: 0.2 g Category: Easy Section: 12.5 11.Explain the following, on the basis of osmosis or osmotic pressure: When sprinkled with sugar, a dish of sliced fruit will form its own juice. Ans: The water inside the fruit cells passes through cell membranes, trying to dilute the sugar on the outside. Category: Medium Section: 12.6 12.Explain the following, on the basis of osmosis or osmotic pressure: In trees and plants water is drawn from the soil up into the branches and leaves. Ans: The water passes into the cells, which are more concentrated in solutes, and is drawn up the tree by osmosis. Category: Medium Section: 12.6 13.Explain the following, on the basis of osmosis or osmotic pressure: Drinking salt water actually dehydrates our tissues. Ans: The water passes from cells, trying to dilute the salt water. Category: Medium Section: 12.6 14.Calculate the mass of solute in the following solution: 50.0 mL of 0.0300 M C12H22O11. Ans: 0.513 g Category: Medium Section: 12.3 Page 220 Chapter 12: Physical Properties of Solutions 15.When 20.0 grams of an unknown compound are dissolved in 500. grams of benzene, the freezing point of the resulting solution is 3.77°C. The freezing point of pure benzene is 5.444°C, and the Kf for benzene is 5.12°C/m. What is the molar mass of the unknown compound? Ans: 120 g/mol Category: Difficult Section: 12.6 16.The term "proof" is defined as twice the percent by volume of pure ethanol in solution. A solution that is 95% ethanol is 190 proof. What is the molarity of ethanol in a 92-proof ethanol/water solution? (Given: density of ethanol = 0.80 g/cm3; density of water = 1.0 g/cm3) Ans: 8.0 M Category: Difficult Section: 12.3 1 Page 221