Solved: Use Henrys law and the ideal gas equation to prove

Distinguish between an unsaturated solution, a saturated solution, and a supersaturated solution.

From which type of solution listed in Question 12.1 does crystallization or precipitation occur? How does a crystal differ from a precipitate?

Briefly describe the solution process at the molecular level. Use the dissolution of a solid in a liquid as an example.

Basing your answer on intermolecular force considerations, explain what like dissolves like means

What is solvation? What factors influence the extent to which solvation occurs? Give two examples of solvation; include one that involves iondipole interaction and one in which dispersion forces come into play.

As you know, some solution processes are endothermic and others are exothermic. Provide a molecular interpretation for the difference.

Explain why the solution process usually leads to an increase in disorder.

Describe the factors that affect the solubility of a solid in a liquid. What does it mean to say that two liquids are miscible?

Why is naphthalene (C10H8) more soluble than CsF in benzene?

Explain why ethanol (C2H5OH) is not soluble in cyclohexane (C6H12).

Arrange the following compounds in order of increasing solubility in water: O2, LiCl, Br2, methanol (CH3OH).

Explain the variations in solubility in water of the alcohols listed here: Solubility in Water Compound (g/100 g) at 208C CH3OH q CH3CH2OH q CH3CH2CH2OH q CH3CH2CH2CH2OH 9 CH3CH2CH2CH2CH2OH 2.7 (Note: q means that the alcohol and water are completely miscible in all proportions.)

Define the following concentration terms and give their units: percent by mass, mole fraction, molarity, molality. Compare their advantages and disadvantages.

Outline the steps required for conversion between molarity, molality, and percent by mass.

Calculate the percent by mass of the solute in each of the following aqueous solutions: (a) 5.50 g of NaBr in 78.2 g of solution, (b) 31.0 g of KCl in 152 g of water, (c) 4.5 g of toluene in 29 g of benzene

Calculate the amount of water (in grams) that must be added to (a) 5.00 g of urea (NH2)2CO in the preparation of a 16.2 percent by mass solution, and (b) 26.2 g of MgCl2 in the preparation of a 1.5 percent by mass solution.

Calculate the molality of each of the following solutions: (a) 14.3 g of sucrose (C12H22O11) in 676 g of water, (b) 7.20 moles of ethylene glycol (C2H6O2) in 3546 g of water

Calculate the molality of each of the following aqueous solutions: (a) 2.50 M NaCl solution (density of solution 5 1.08 g/mL), (b) 48.2 percent by mass KBr solution.

Calculate the molalities of the following aqueous solutions: (a) 1.22 M sugar (C12H22O11) solution (density of solution 5 1.12 g/mL), (b) 0.87 M NaOH solution (density of solution 5 1.04 g/mL), (c) 5.24 M NaHCO3 solution (density of solution 5 1.19 g/mL).

For dilute aqueous solutions in which the density of the solution is roughly equal to that of the pure solvent, the molarity of the solution is equal to its molality. Show that this statement is correct for a 0.010 M aqueous urea (NH2)2CO solution.

The alcohol content of hard liquor is normally given in terms of the proof, which is defined as twice the percentage by volume of ethanol (C2H5OH) present. Calculate the number of grams of alcohol present in 1.00 L of 75-proof gin. The density of ethanol is 0.798 g/mL

The concentrated sulfuric acid we use in the laboratory is 98.0 percent H2SO4 by mass. Calculate the molality and molarity of the acid solution. The density of the solution is 1.83 g/mL.

Calculate the molarity and the molality of an NH3 solution made up of 30.0 g of NH3 in 70.0 g of water. The density of the solution is 0.982 g/mL.

The density of an aqueous solution containing 10.0 percent of ethanol (C2H5OH) by mass is 0.984 g/mL. (a) Calculate the molality of this solution. (b) Calculate its molarity. (c) What volume of the solution would contain 0.125 mole of ethanol?

How do the solubilities of most ionic compounds in water change with temperature? With pressure?

Describe the fractional crystallization process and its application.

A 3.20-g sample of a salt dissolves in 9.10 g of water to give a saturated solution at 25C. What is the solubility (in g salt/100 g of H2O) of the salt?

The solubility of KNO3 is 155 g per 100 g of water at 75C and 38.0 g at 25C. What mass (in grams) of KNO3 will crystallize out of solution if exactly 100 g of its saturated solution at 75C is cooled to 25C?

A 50-g sample of impure KClO3 (solubility 5 7.1 g per 100 g H2O at 20C) is contaminated with 10 percent of KCl (solubility 5 25.5 g per 100 g of H2O at 20C). Calculate the minimum quantity of 20C water needed to dissolve all the KCl from the sample. How much KClO3 will be left after this treatment? (Assume that the solubilities are unaffected by the presence of the other compound.)

Discuss the factors that influence the solubility of a gas in a liquid.

What is thermal pollution? Why is it harmful to aquatic life?

What is Henrys law? Define each term in the equation, and give its units. How would you account for the law in terms of the kinetic molecular theory of gases? Give two exceptions to Henrys law.

A student is observing two beakers of water. One beaker is heated to 30C, and the other is heated to 100C. In each case, bubbles form in the water. Are these bubbles of the same origin? Explain.

A man bought a goldfish in a pet shop. Upon returning home, he put the goldfish in a bowl of recently boiled water that had been cooled quickly. A few minutes later the fish was found dead. Explain what happened to the fish.

A beaker of water is initially saturated with dissolved air. Explain what happens when He gas at 1 atm is bubbled through the solution for a long time.

A miner working 260 m below sea level opened a carbonated soft drink during a lunch break. To his surprise, the soft drink tasted rather flat. Shortly afterward, the miner took an elevator to the surface. During the trip up, he could not stop belching. Why?

The solubility of CO2 in water at 25C and 1 atm is 0.034 mol/L. What is its solubility under atmospheric conditions? (The partial pressure of CO2 in air is 0.0003 atm.) Assume that CO2 obeys Henrys law.

The solubility of N2 in blood at 37C and at a partial pressure of 0.80 atm is 5.6 3 1024 mol/L. A deepsea diver breathes compressed air with the partial pressure of N2 equal to 4.0 atm. Assume that the total volume of blood in the body is 5.0 L. Calculate the amount of N2 gas released (in liters at 37C and 1 atm) when the diver returns to the surface of the water, where the partial pressure of N2 is 0.80 atm.

What are colligative properties? What is the meaning of the word colligative in this context?

Write the equation representing Raoults law, and express it in words.

Use a solution of benzene in toluene to explain what is meant by an ideal solution

Write the equations relating boiling-point elevation and freezing-point depression to the concentration of the solution. Define all the terms, and give their units

How is vapor-pressure lowering related to a rise in the boiling point of a solution?

Use a phase diagram to show the difference in freezing points and boiling points between an aqueous urea solution and pure water

What is osmosis? What is a semipermeable membrane?

Write the equation relating osmotic pressure to the concentration of a solution. Define all the terms and specify their units

Explain why molality is used for boiling-point elevation and freezing-point depression calculations and molarity is used in osmotic pressure calculations.

Describe how you would use freezing-point depression and osmotic pressure measurements to determine the molar mass of a compound. Why are boiling-point elevation and vapor-pressure lowering normally not used for this purpose?

A solution is prepared by dissolving 396 g of sucrose (C12H22O11) in 624 g of water. What is the vapor pressure of this solution at 30C? (The vapor pressure of water is 31.8 mmHg at 30C.)

How many grams of sucrose (C12H22O11) must be added to 552 g of water to give a solution with a vapor pressure 2.0 mmHg less than that of pure water at 20C? (The vapor pressure of water at 20C is 17.5 mmHg.)

The vapor pressure of benzene is 100.0 mmHg at 26.1C. Calculate the vapor pressure of a solution containing 24.6 g of camphor (C10H16O) dissolved in 98.5 g of benzene. (Camphor is a low-volatility solid.)

The vapor pressures of ethanol (C2H5OH) and 1-propanol (C3H7OH) at 35C are 100 mmHg and 37.6 mmHg, respectively. Assume ideal behavior and calculate the partial pressures of ethanol and 1-propanol at 35C over a solution of ethanol in 1-propanol, in which the mole fraction of ethanol is 0.300

The vapor pressure of ethanol (C2H5OH) at 20C is 44 mmHg, and the vapor pressure of methanol (CH3OH) at the same temperature is 94 mmHg. A mixture of 30.0 g of methanol and 45.0 g of ethanol is prepared (and can be assumed to behave as an ideal solution). (a) Calculate the vapor pressure of methanol and ethanol above this solution at 20C. (b) Calculate the mole fraction of methanol and ethanol in the vapor above this solution at 20C. (c) Suggest a method for separating the two components of the solution

How many grams of urea [(NH2)2CO] must be added to 450 g of water to give a solution with a vapor pressure 2.50 mmHg less than that of pure water at 30C? (The vapor pressure of water at 30C is 31.8 mmHg.)

What are the boiling point and freezing point of a 2.47 m solution of naphthalene in benzene? (The boiling point and freezing point of benzene are 80.1C and 5.5C, respectively.)

An aqueous solution contains the amino acid glycine (NH2CH2COOH). Assuming that the acid does not ionize in water, calculate the molality of the solution if it freezes at 21.1C

Pheromones are compounds secreted by the females of many insect species to attract males. One of these compounds contains 80.78 percent C, 13.56 percent H, and 5.66 percent O. A solution of 1.00 g of this pheromone in 8.50 g of benzene freezes at 3.37C. What are the molecular formula and molar mass of the compound? (The normal freezing point of pure benzene is 5.50C.)

The elemental analysis of an organic solid extracted from gum arabic (a gummy substance used in adhesives, inks, and pharmaceuticals) showed that it contained 40.0 percent C, 6.7 percent H, and 53.3 percent O. A solution of 0.650 g of the solid in 27.8 g of the solvent diphenyl gave a freezing-point depression of 1.56C. Calculate the molar mass and molecular formula of the solid. (Kf for diphenyl is 8.00C/m.)

How many liters of the antifreeze ethylene glycol [CH2(OH)CH2(OH)] would you add to a car radiator containing 6.50 L of water if the coldest winter temperature in your area is 220C? Calculate the boiling point of this water-ethylene glycol mixture. (The density of ethylene glycol is 1.11 g/mL.)

A solution is prepared by condensing 4.00 L of a gas, measured at 27C and 748 mmHg pressure, into 58.0 g of benzene. Calculate the freezing point of this solution.

The molar mass of benzoic acid (C6H5COOH) determined by measuring the freezing-point depression in benzene is twice what we would expect for the molecular formula, C7H6O2. Explain this apparent anomaly.

A solution of 2.50 g of a compound having the empirical formula C6H5P in 25.0 g of benzene is observed to freeze at 4.3C. Calculate the molar mass of the solute and its molecular formula

What is the osmotic pressure (in atm) of a 1.36 M aqueous solution of urea [(NH2)2CO] at 22.0C?

A solution containing 0.8330 g of a polymer of unknown structure in 170.0 mL of an organic solvent was found to have an osmotic pressure of 5.20 mmHg at 25C. Determine the molar mass of the polymer.

A quantity of 7.480 g of an organic compound is dissolved in water to make 300.0 mL of solution. The solution has an osmotic pressure of 1.43 atm at 27C. The analysis of this compound shows that it contains 41.8 percent C, 4.7 percent H, 37.3 percent O, and 16.3 percent N. Calculate the molecular formula of the compound

A solution of 6.85 g of a carbohydrate in 100.0 g of water has a density of 1.024 g/mL and an osmotic pressure of 4.61 atm at 20.0C. Calculate the molar mass of the carbohydrate.

What are ion pairs? What effect does ion-pair formation have on the colligative properties of a solution? How does the ease of ion-pair formation depend on (a) charges on the ions, (b) size of the ions, (c) nature of the solvent (polar versus nonpolar), (d) concentration?

What is the vant Hoff factor? What information does it provide?

Which of the following aqueous solutions has (a) the higher boiling point, (b) the higher freezing point, and (c) the lower vapor pressure: 0.35 m CaCl2 or 0.90 m urea? Explain. Assume CaCl2 to undergo complete dissociation

Consider two aqueous solutions, one of sucrose (C12H22O11) and the other of nitric acid (HNO3). Both solutions freeze at 21.5C. What other properties do these solutions have in common?

Arrange the following solutions in order of decreasing freezing point: 0.10 m Na3PO4, 0.35 m NaCl, 0.20 m MgCl2, 0.15 m C6H12O6, 0.15 m CH3COOH

Arrange the following aqueous solutions in order of decreasing freezing point, and explain your reasoning: 0.50 m HCl, 0.50 m glucose, 0.50 m acetic acid

What are the normal freezing points and boiling points of the following solutions? (a) 21.2 g NaCl in 135 mL of water and (b) 15.4 g of urea in 66.7 mL of water

At 25C the vapor pressure of pure water is 23.76 mmHg and that of seawater is 22.98 mmHg. Assuming that seawater contains only NaCl, estimate its molal concentration.

Both NaCl and CaCl2 are used to melt ice on roads and sidewalks in winter. What advantages do these substances have over sucrose or urea in lowering the freezing point of water?

A 0.86 percent by mass solution of NaCl is called physiological saline because its osmotic pressure is equal to that of the solution in blood cells. Calculate the osmotic pressure of this solution at normal body temperature (37C). Note that the density of the saline solution is 1.005 g/mL.

The osmotic pressure of 0.010 M solutions of CaCl2 and urea at 25C are 0.605 atm and 0.245 atm, respectively. Calculate the vant Hoff factor for the CaCl2 solution

Calculate the osmotic pressure of a 0.0500 M MgSO4 solution at 25C. (Hint: See Table 12.3.)

What are colloids? Referring to Table 12.4, why is there no colloid in which both the dispersed phase and the dispersing medium are gases?

Describe how hydrophilic and hydrophobic colloids are stabilized in water.

Aqueous solutions A and B both contain urea at different concentrations. On standing exposed to air, the vapor pressure of A remains constant while that of B gradually decreases. (a) Which solution has a higher boiling point? (b) Eventually the two solutions have the same vapor pressure. Explain.

Water and methanol are miscible with each other but they are immiscible with octane (C8H18). Which of the following shows the correct picture when equal volumes of these three liquids are mixed in a test tube at 20C? Assume volumes to be additive. (The densities of the liquids are methanol: 0.792 g/mL; octane: 0.703 g/mL; water: 0.998 g/mL.) (a) (b) (c) (d)

Lysozyme is an enzyme that cleaves bacterial cell walls. A sample of lysozyme extracted from egg white has a molar mass of 13,930 g. A quantity of 0.100 g of this enzyme is dissolved in 150 g of water at 25C. Calculate the vapor-pressure lowering, the depression in freezing point, the elevation in boiling point, and the osmotic pressure of this solution. (The vapor pressure of water at 25C is 23.76 mmHg.)

Solutions A and B have osmotic pressures of 2.4 atm and 4.6 atm, respectively, at a certain temperature. What is the osmotic pressure of a solution prepared by mixing equal volumes of A and B at the same temperature?

A cucumber placed in concentrated brine (salt water) shrivels into a pickle. Explain.

Two liquids A and B have vapor pressures of 76 mmHg and 132 mmHg, respectively, at 25C. What is the total vapor pressure of the ideal solution made up of (a) 1.00 mole of A and 1.00 mole of B and (b) 2.00 moles of A and 5.00 moles of B?

Calculate the vant Hoff factor of Na3PO4 in a 0.40 m solution whose freezing point is 22.6C.

A 262-mL sample of a sugar solution containing 1.22 g of the sugar has an osmotic pressure of 30.3 mmHg at 35C. What is the molar mass of the sugar?

An aqueous solution of a 0.10 M monoprotic acid HA has an osmotic pressure of 3.22 atm at 25C. What is the percent ionization of the acid at this concentration?

Calculate the mass of naphthalene (C10H8) that must be added to 250 g of benzene (C6H6) to give a solution with a freezing point 2.00C below that of pure benzene

Consider the three mercury manometers shown here. One of them has 1 mL of water on top of the mercury, another has 1 mL of a 1 m urea solution on top of the mercury, and the third one has 1 mL of a 1 m NaCl solution placed on top of the mercury. Which of these solutions is in the tube labeled X, which is in Y, and which is in Z? XYZ

A forensic chemist is given a white powder for analysis. She dissolves 0.50 g of the substance in 8.0 g of benzene. The solution freezes at 3.9C. Can the chemist conclude that the compound is cocaine (C17H21NO4)? What assumptions are made in the analysis?

Time-release drugs have the advantage of releasing the drug to the body at a constant rate so that the drug concentration at any time is not too high as to have harmful side effects or too low as to be ineffective. A schematic diagram of a pill that works on this basis is shown below. Explain how it works. Rigid wall containing tiny holes Elastic impermeable membrane Drug Semipermeable membrane Saturated NaCl solution

A solution of 1.00 g of anhydrous aluminum chloride, AlCl3, in 50.0 g of water freezes at 21.11C. Does the molar mass determined from this freezing point agree with that calculated from the formula? Why?

Desalination is a process of removing dissolved salts from seawater. (a) Briefly describe how you would apply distillation and freezing for this purpose. (b) Desalination can also be accomplished by reverse osmosis, which uses high pressure to force water from a more concentrated solution to a less concentrated one. Assuming a sample of seawater is 0.50 M in NaCl, calculate the minimum pressure that needs to be applied for reverse osmosis at 25C. What is the main advantage of reverse osmosis over distillation and freezing? Pressure Semipermeable membrane Freshwater Seawater

Fish breathe the dissolved air in water through their gills. Assuming the partial pressures of oxygen and nitrogen in air to be 0.20 atm and 0.80 atm, respectively, calculate the mole fractions of oxygen and nitrogen in water at 298 K. Comment on your results. See Example 12.6 for Henrys law constants.

A protein has been isolated as a salt with the formula Na20P (this notation means that there are 20 Na1 ions associated with a negatively charged protein P202). The osmotic pressure of a 10.0-mL solution containing 0.225 g of the protein is 0.257 atm at 25.0C. (a) Calculate the molar mass of the protein from these data. (b) Calculate the actual molar mass of the protein.

A nonvolatile organic compound Z was used to make up two solutions. Solution A contains 5.00 g of Z dissolved in 100 g of water, and solution B contains 2.31 g of Z dissolved in 100 g of benzene. Solution A has a vapor pressure of 754.5 mmHg at the normal boiling point of water, and solution B has the same vapor pressure at the normal boiling point of benzene. Calculate the molar mass of Z in solutions A and B and account for the difference

Hydrogen peroxide with a concentration of 3.0 percent (3.0 g of H2O2 in 100 mL of solution) is sold in drugstores for use as an antiseptic. For a 10.0-mL 3.0 percent H2O2 solution, calculate (a) the oxygen gas produced (in liters) at STP when the compound undergoes complete decomposition and (b) the ratio of the volume of O2 collected to the initial volume of the H2O2 solution

State which of the alcohols listed in Problem 12.12 you would expect to be the best solvent for each of the following substances, and explain why: (a) I2, (b) KBr, (c) CH3CH2CH2CH2CH3.

Before a carbonated beverage bottle is sealed, it is pressurized with a mixture of air and carbon dioxide. (a) Explain the effervescence that occurs when the cap of the bottle is removed. (b) What causes the fog to form near the mouth of the bottle right after the cap is removed?

Iodine (I2) is only sparingly soluble in water (left photo). Yet upon the addition of iodide ions (for example, from KI), iodine is converted to the triiodide ion, which readily dissolves (right photo): I2(s) 1 I 2(aq) I 2 3 (aq) Describe the change in solubility of I2 in terms of the change in intermolecular forces.

Two beakers, one containing a 50-mL aqueous 1.0 M glucose solution and the other a 50-mL aqueous 2.0 M glucose solution, are placed under a tightly sealed bell jar at room temperature. What are the volumes in these two beakers at equilibrium?

In the apparatus shown here, what will happen if the membrane is (a) permeable to both water and the Na1 and Cl2 ions, (b) permeable to water and Na1 ions but not to Cl2 ions, (c) permeable to water but not to Na1 and Cl2 ions? 0.01 M NaCl 0.1 M NaCl Membrane

Explain why it is essential that fluids used in intravenous injections have approximately the same osmotic pressure as blood.

Concentrated hydrochloric acid is usually available at a concentration of 37.7 percent by mass. What is its molar concentration? (The density of the solution is 1.19 g/mL.)

Explain each of the following statements: (a) The boiling point of seawater is higher than that of pure water. (b) Carbon dioxide escapes from the solution when the cap is removed from a carbonated soft-drink bottle. (c) Molal and molar concentrations of dilute aqueous solutions are approximately equal. (d) In discussing the colligative properties of a solution (other than osmotic pressure), it is preferable to express the concentration in units of molality rather than in molarity. (e) Methanol (b.p. 65C) is useful as an antifreeze, but it should be removed from the car radiator during the summer season.

A mixture of NaCl and sucrose (C12H22O11) of combined mass 10.2 g is dissolved in enough water to make up a 250 mL solution. The osmotic pressure of the solution is 7.32 atm at 23C. Calculate the mass percent of NaCl in the mixture.

A 0.050 M hydrofluoric acid (HF) solution is 11 percent ionized at 25C. Calculate the osmotic pressure of the solution.

Shown here is a plot of vapor pressures of two liquids A and B at different concentrations at a certain temperature. Which of the following statements are false? (a) The solutions exhibit negative deviation from Raoults law. (b) A and B molecules attract each other more weakly than they do their own kind. (c) Hsoln is positive. (d) At XA 5 0.20, the solution has a higher boiling point than liquid B and a lower boiling point than liquid A. Pressure 0 PB o PA o XA 0.2 0.4 0.6 0.8 1.0

A 1.32-g sample of a mixture of cyclohexane (C6H12) and naphthalene (C10H8) is dissolved in 18.9 g of benzene (C6H6). The freezing point of the solution is 2.2C. Calculate the mass percent of the mixture. (See Table 12.2 for constants.)

How does each of the following affect the solubility of an ionic compound? (a) Lattice energy, (b) solvent (polar versus nonpolar), (c) enthalpies of hydration of cation and anion.

A solution contains two volatile liquids A and B. Complete the following table, in which the symbol indicates attractive intermolecular forces. Deviation from Attractive Forces Raoults Law DHsoln A A, B B . A B Negative Zero

The concentration of commercially available concentrated sulfuric acid is 98.0 percent by mass, or 18 M. Calculate the density and the molality of the solution.

The concentration of commercially available concentrated nitric acid is 70.0 percent by mass, or 15.9 M. Calculate the density and the molality of the solution

A mixture of ethanol and 1-propanol behaves ideally at 36C and is in equilibrium with its vapor. If the mole fraction of ethanol in the solution is 0.62, calculate its mole fraction in the vapor phase at this temperature. (The vapor pressures of pure ethanol and 1-propanol at 36C are 108 mmHg and 40.0 mmHg, respectively.)

For ideal solutions, the volumes are additive. This means that if 5 mL of A and 5 mL of B form an ideal solution, the volume of the solution is 10 mL. Provide a molecular interpretation for this observation. When 500 mL of ethanol (C2H5OH) are mixed with 500 mL of water, the final volume is less than 1000 mL. Why?

Ammonia (NH3) is very soluble in water, but nitrogen trichloride (NCl3) is not. Explain.

Aluminum sulfate [Al2(SO4)3] is sometimes used in municipal water treatment plants to remove undesirable particles. Explain how this process works.

Acetic acid is a weak acid that ionizes in solution as follows: CH3COOH(aq) CH3COO2(aq) 1 H1(aq) If the freezing point of a 0.106 m CH3COOH solution is 20.203C, calculate the percent of the acid that has undergone ionization.

Making mayonnaise involves beating oil into small droplets in water, in the presence of egg yolk. What is the purpose of the egg yolk? (Hint: Egg yolk contains lecithins, which are molecules with a polar head and a long nonpolar hydrocarbon tail.)

Acetic acid is a polar molecule and can form hydrogen bonds with water molecules. Therefore, it has a high solubility in water. Yet acetic acid is also soluble in benzene (C6H6), a nonpolar solvent that lacks Questions & Problems 557 the ability to form hydrogen bonds. A solution of 3.8 g of CH3COOH in 80 g C6H6 has a freezing point of 3.5C. Calculate the molar mass of the solute and suggest what its structure might be. (Hint: Acetic acid molecules can form hydrogen bonds between themselves.)

A 2.6-L sample of water contains 192 g of lead. Does this concentration of lead exceed the safety limit of 0.050 ppm of lead per liter of drinking water? [Hint: 1 g 5 1 3 1026 g. Parts per million (ppm) is defined as (mass of component/mass of solution) 3 106 .]

Certain fishes in the Antarctic Ocean swim in water at about 22C. (a) To prevent their blood from freezing, what must be the concentration (in molality) of the blood? Is this a reasonable physiological concentration? (b) In recent years scientists have discovered a special type of protein in these fishes blood which, although present in quite low concentrations (# 0.001 m), has the ability to prevent the blood from freezing. Suggest a mechanism for its action.

As we know, if a soft drink can is shaken and then opened, the drink escapes violently. However, if after shaking the can we tap it several times with a metal spoon, no such explosion of the drink occurs. Why?

Why are ice cubes (for example, those you see in the trays in the freezer of a refrigerator) cloudy inside?

Two beakers are placed in a closed container. Beaker A initially contains 0.15 mole of naphthalene (C10H8) in 100 g of benzene (C6H6) and beaker B initially contains 31 g of an unknown compound dissolved in 100 g of benzene. At equilibrium, beaker A is found to have lost 7.0 g of benzene. Assuming ideal behavior, calculate the molar mass of the unknown compound. State any assumptions made

At 27C, the vapor pressure of pure water is 23.76 mmHg and that of an urea solution is 22.98 mmHg. Calculate the molality of solution.

An example of the positive deviation shown in Figure 12.8(a) is a solution made of acetone (CH3COCH3) and carbon disulfide (CS2). (a) Draw Lewis structures of these molecules. Explain the deviation from ideal behavior in terms of intermolecular forces. (b) A solution composed of 0.60 mole of acetone and 0.40 mole of carbon disulfide has a vapor pressure of 615 mmHg at 35.2C. What would be the vapor pressure if the solution behaved ideally? The vapor pressure of the pure solvents at the same temperature are: acetone: 349 mmHg; carbon disulfide: 501 mmHg. (c) Predict the sign of Hsoln.

Liquids A (molar mass 100 g/mol) and B (molar mass 110 g/mol) form an ideal solution. At 55C, A has a vapor pressure of 95 mmHg and B has a vapor pressure of 42 mmHg. A solution is prepared by mixing equal masses of A and B. (a) Calculate the mole fraction of each component in the solution. (b) Calculate the partial pressures of A and B over the solution at 55C. (c) Suppose that some of the vapor described in (b) is condensed to a liquid in a separate container. Calculate the mole fraction of each component in this liquid and the vapor pressure of each component above this liquid at 55C.

A very long pipe is capped at one end with a semipermeable membrane. How deep (in meters) must the pipe be immersed into the sea for freshwater to begin to pass through the membrane? Assume the water to be at 20C and treat it as a 0.70 M NaCl solution. The density of seawater is 1.03 g/cm3 and the acceleration due to gravity is 9.81 m/s2 .

Two beakers, 1 and 2, containing 50 mL of 0.10 M urea and 50 mL of 0.20 M urea, respectively, are placed under a tightly sealed container (see Figure 12.12) at 298 K. Calculate the mole fraction of urea in the solutions at equilibrium. Assume ideal behavior.

A mixture of liquids A and B exhibits ideal behavior. At 84C, the total vapor pressure of a solution containing 1.2 moles of A and 2.3 moles of B is 331 mmHg. Upon the addition of another mole of B to the solution, the vapor pressure increases to 347 mmHg. Calculate the vapor pressures of pure A and B at 84C.

Use Henrys law and the ideal gas equation to prove the statement that the volume of a gas that dissolves in a given amount of solvent is independent of the pressure of the gas. (Hint: Henrys law can be modified as n 5 kP, where n is the number of moles of the gas dissolved in the solvent.)

(a) Derive the equation relating the molality (m) of a solution to its molarity (M) m 5 M d 2 Mm 1000 where d is the density of the solution (g/mL) and m is the molar mass of the solute (g/mol). (Hint: Start by expressing the solvent in kilograms in terms of the difference between the mass of the solution and the mass of the solute.) (b) Show that, for dilute aqueous solutions, m is approximately equal to M.

At 298 K, the osmotic pressure of a glucose solution is 10.50 atm. Calculate the freezing point of the solution. The density of the solution is 1.16 g/mL

A student carried out the following procedure to measure the pressure of carbon dioxide in a soft drink bottle. First, she weighed the bottle (853.5 g). Next, she carefully removed the cap to let the CO2 gas escape. She then reweighed the bottle with the cap (851.3 g). Finally, she measured the volume of the soft drink (452.4 mL). Given that Henrys law constant for CO2 in water at 25C is 3.4 3 1022 mol/L ? atm, calculate the pressure of CO2 in the original bottle. Why is this pressure only an estimate of the true value?

Valinomycin is an antibiotic. It functions by binding K1 ions and transporting them across the membrane into cells to offset the ionic balance. The molecule is represented here by its skeletal structure in which the end of each straight line corresponds to a carbon atom (unless a N or an O atom is shown at the end of the line). There are as many H atoms attached to each C atom as necessary to give each C atom a total of four bonds. Use the like dissolves like guideline to explain its function. (Hint: The CH3 groups at the two ends of the Y shape are nonpolar.) N HN H H N O O O O O O O O O O O O O O O O O O NH NH HN

Often the determination of the molar mass of a compound by osmotic pressure measurement is carried out at several different concentrations to get a more reliable average value. From the following data for the osmotic pressure of poly(methyl methacrylate) in toluene at 25C, determine graphically the molar mass of the polymer. [Hint: Rearrange Equation (12.8) so that is expressed in terms of c, which is the number of grams of the solute per liter of solution.] (atm) 8.40 3 1.72 3 2.52 3 3.23 3 7.75 3 1024 1023 1023 1023 1023 c (g/L) 8.10 12.31 15.00 18.17 28.05

Here is an after-dinner trick. With guests still sitting at the table, the host provided each of them with a glass of water containing an ice cube floating on top and a piece of string about 23 in. in length. He then asked them to find a way to lift the ice cube without touching it by hand or using any other objects such as a spoon or fork. Explain how this task can be accomplished. (Hint: The table had not been cleared so the salt and pepper shakers were still there.)

The molecule drawn here has shown promise as an agent for cleaning up oil spills in water. Instead of dispersing the oil into water as soap molecules would do (see Figures 12.19 and 12.20), these molecules bind with the oil to form a gel, which can be easily separated from the body of water. Suggest an explanation for the ability of this compound to remove oil from water. O O O O O OHOH H15C7 C7H15

The Henrys law constant of oxygen in water at 25C is 1.3 3 1023 mol/L ? atm. Calculate the molarity of oxygen in water under 1 atmosphere of air. Comment on the prospect for our survival without hemoglobin molecules. (Recall from previous problems that the total volume of blood in an adult human is about 5 L.)

The diagram shows the vapor pressure curves for pure benzene and a solution of a nonvolatile solute in benzene. Estimate the molality of the benzene solution. t (8C) P (atm) 75 1.0 80 85

A common misconception is that adding salt to the water used to cook spaghetti will decrease the cooking time, presumably because it increases the boiling point of the water. Calculate the boiling point of a typical salted water solution used to cook spaghetti. Do you think this increase in temperature will make much difference in the cooking time for spaghetti?

Estimate the volume of the oil droplet that would be formed by the compound sodium stearate shown in Figure 12.19

The diagram here shows the vapor pressure curves of two liquids A and B and a solution of the two liquids. Given that A is more volatile than B, match the curves with the pure liquids and the solution.