Exam 11: Solutions and Their Colligative Properties
Which statement regarding the fractional distillation of two substances is not correct?
E
Describe how the data obtained by a measurement of osmotic pressure can be used to determine the molar mass of a compound.
The concentration (molarity) of particles in a solution can be determined from an osmotic pressure measurement because = iMRT where = osmotic pressure, i = van't Hoff factor, M = molarity of the compound in solution, R = gas constant, and T = temperature in K. iM is the concentration of the particles, as the van't Hoff factor is the ratio of the moles of particles to the moles of the compound. For example, 1 mole of NaCl produces 2 moles of particles, 1 mole of Na+ and 1 mole of Cl-. So, to determine the molar mass of the compound, the van't Hoff factor must be determined. If the solution does not conduct electricity, then the van't Hoff factor = 1 because the compound in solution does not dissociate into ions. Consequently, once the molarity of the solution is known, the molar mass can be obtained from the following equation: molarity = ( mass/molar mass)/volume of solution, because the solution of a known volume is prepared with a known mass of the compound.
Calculate the minimum pressure that must be applied to achieve reverse osmosis of 0.504 M NaCl at 22C.
E
What physical property is used to separate the hydrocarbon components in petroleum (crude oil)?
A solution is prepared by adding 0.300 mol glucose, which is not volatile, to 4.50 mol water. What is the vapor pressure of this solution at 25°C given that the vapor pressure of pure water is 23.8 torr?
Isopropyl alcohol has a boiling point of 82.3°C. Solutions of isopropyl alcohol in water have normal boiling points less than 100°C. Is this observation consistent with the following equation? Explain. Tb = iKbm
A solution of 5.00 g of sodium chloride in 1.00 kg of water has a freezing point of -0.299°C. What is the actual van't Hoff factor for this salt at this concentration compared to the ideal one of 2? Kf(water) = 1.86°C/m
What is the molality of a solution produced by dissolving 14.40 g of LiCl (42.39 g/mol) in water to make 0.104 L of solution with a density of 1.102 g/mL?
A physiological saline solution is 0.92% NaCl by mass. What is the osmotic pressure of such a solution at a body temperature of 37°C?
The freezing point of a 0.0925 m solution of ammonium chloride was found to be -0.325°C. What is the actual van't Hoff factor for this salt at this concentration compared to the ideal one of 2? Kf(water) = 1.86°C/m
A newspaper article suggested using a fertilizer such as ammonium sulfate or ammonium nitrate to lower the melting point of ice on sidewalks because many of the deicing salts can damage lawns and sidewalks. Which of the following compounds would give the largest freezing point depression when 100 g of the compound are dissolved in 1 kg of solvent?
A 300-mg sample of caffeine was dissolved in 10.0 g of camphor (Kf = 39.7°C/m), decreasing the freezing point of camphor by 3.07°C. What is the molar mass of caffeine?
You like boiled eggs for breakfast, but they take too long to cook, and you are always late to your early morning class. Lucky you! You have learned that adding table salt, NaCl (58.4 g/mol, 2.16 g/cm3), to water (Kb = 0.52oC/m) increases the temperature at which it boils. You figure that you can cook eggs faster at a higher temperature in boiling salty water! What increase in the boiling point do you expect if you add 4 tablespoons (1 tbsp = 14.8 cm3) of salt to 16 oz of water (474 mL)?
Portable lanterns and stoves used for camping often use a mixture of hydrocarbons for fuel. One such hydrocarbon is an alkane called n-pentane. These lanterns and stoves are often difficult to light on a cold day because the fuel has a low vapor pressure at low temperatures. Determine the vapor pressure of n-pentane on a night when the temperature is 0.0oC. The enthalpy of vaporization of n-pentane is 27.6 kJ/mol, and its boiling point is 36.0°C.
Identify the following statement as true or false and choose the correct explanation. "For solutions with the same molarity at the same temperature, the pressure needed for reverse osmosis of a sodium chloride solution will always be less than the pressure needed for a calcium chloride solution."
Gasoline is primarily a mixture of hydrocarbons and is sold with an octane rating that is based on a comparison with the combustion properties of isooctane. Gasoline usually contains an isomer of isooctane called tetramethylbutane (C8H18), which has an enthalpy of vaporization of 43.3 kJ/mol and a boiling point of 106.5°C. Determine the vapor pressure of tetramethylbutane on a very hot summer day when the temperature is 38°C.
A solution is prepared by adding 1.50 mol glucose, which is not volatile, to 3.50 mol water. What is the vapor pressure of this solution at 25°C given that the vapor pressure of pure water is 23.8 torr?
Ethylene glycol is used in automobile radiators as an antifreeze. What will the freezing point of an antifreeze solution be if 2.5 L of ethylene glycol are mixed together with 2.5 L of water? The following information may be helpful to you. Ethylene glycol has a very low vapor pressure and is essentially nonvolatile. molar mass of ethylene glycol = 62.1 g/mol
Van't Hoff factor = 1
Density of ethylene glycol = 1.11 g/mL
Density of water = 1.00 g/mL
Kf for water = 1.86°C kg/mol
Which statement regarding osmotic pressure is not correct? Osmotic pressure __________
A solution is made by dissolving 100 g of essentially nonvolatile ethylene glycol (C2H6O2) in 500 g of water. What is the resulting freezing point of the solution (Kf = 1.86°C/m)?
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