12.18 In a 0.300 mol/kg aqueous solution of sucrose, theC12H22O11 molarity is 0.282 mol/dm³ at 20°C and 1 atm. Thedensity of water is 0.998 g/cm³ at 20°C and 1 atm. (a) Estimatethe osmotic pressure of this solution using the van't Hoff equa-tion. (b) The observed osmotic pressure of this solution is7.61 atm. Use Eq. (12.24) to find a and Yн in this solution.Note: Yд in (12.24) is at the pressure P + II, but the pressuredependence of y is slight and can be neglected here.

(a) Osmotic Pressure Using the Van't Hoff EquationThe van't Hoff equation for osmotic pressure is:Π…

Answered: 12.18 In a 0.300 mol/kg aqueous…

Chemistry & Chemical Reactivity

10th Edition

ISBN:9781337399074

Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Chapter13: Solutions And Their Behavior

Section: Chapter Questions

Problem 7PS

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A 1.40-g sample of polyethylene, a common plastic, is dissolved in enough organic solvent to give 100.0 mL of solution. What is the average molar mass of the polymer if the measured osmotic pressure of the solution is 1.86 mm Hg at 25 C?
6-111 As noted in Section 6-8C, the amount of external pressure that must be applied to a more concentrated solution to stop the passage of solvent molecules across a semipermeable membrane is known as the osmotic pressure The osmotic pressure obeys a law similar in form to the ideal gas law (discussed in Section 5-4), where Substituting for pressure and solving for osmotic pressures gives the following equation: RT MRT, where M is the concentration or molarity of the solution. (a) Determine the osmotic pressure at 25°C of a 0.0020 M sucrose (C12H22O11) solution. (b) Seawater contains 3.4 g of salts for every liter of solution. Assuming the solute consists entirely of NaCl (and complete dissociation of the NaCI salt), calculate the osmotic pressure of seawater at 25°C. (c) The average osmotic pressure of blood is 7.7 atm at 25°C. What concentration of glucose (C6H12O6) will be isotonic with blood? (d) Lysozyme is an enzyme that breaks bacterial cell walls. A solution containing 0.150 g of this enzyme in 210. mL of solution has an osmotic pressure of 0.953 torr at 25°C. What is the molar mass of lysozyme? (e) The osmotic pressure of an aqueous solution of a certain protein was measured in order to determine the protein's molar mass. The solution contained 3.50 mg of protein dissolved in sufficient water to form 5.00 mL of solution. The osmotic pressure of the solution at 25°C was found to be 1.54 torr. Calculate the molar mass of the protein.
6-74 An osmotic semipermeable membrane that allows only water to pass separates two compartments, A and B. Compartment A contains 0.9% NaCI, and compartment B contains 3% glycerol C3H8O3. (a) In which compartment will the level of solution rise? (b) Which compartment (if either) has the higher osmotic pressure?
(a) If you dissolve 10.0 g (about one heaping teaspoonful) of sugar (sucrose, C12H22O11) in a cup of water (250. g), what are the mole fraction, molality, and weight percent of sugar? (b) Seawater has a sodium ion concentration of 1.08 104 ppm. If the sodium is present in the form of dissolved sodium chloride, what mass of NaCl is in each liter of seawater? Seawater is denser than pure water because of dissolved salts. Its density is 1.05 g/mL
Indicate which of the following is more soluble in ethanol, C2H5OH: acetic acid, CH3COOH, or stearic acid, C17H35COOH.
Predict the relative solubility of each compound in the two solvents, on the basis of intermolecular attractions. (a) Is NaCl more soluble in water or in carbon tetrachloride? (b) Is I2 more soluble in water or in toluene (C6H5CH3)? (c) Is ethanol (C2H5OH) more soluble in hexane or in water? (d) Is ethylene glycol (HOCH2CH2OH) more soluble in ethanol or in benzene (C6H6)?
You have two aqueous solutions separated by a semipermeable membrane. One contains 5.85 g of NaCl dissolved in 100. mL of solution, and the other contains 8.88 g of KNO3 dissolved in 100. mL of solution. In which direction will solvent flow: from the NaCl solution to the KNO3 solution, or from KNO3 to NaCl? Explain briefly.
An aqueous solution of sodium bromide freezes at 1.61 C. What is the total molality of solute particles? How many grams of sodium bromide are present in 1 kg of water? (Assume an ideal value for the vant Hoff factor.)
6-68 If we add 175 g of ethylene glycol, C2H6O2, per 1000. g of water to a car radiator, what will be the freezing point of the solution?
An aqueous solution containing 10.0 g of starch per liter has an osmotic pressure of 3.8 mm Hg at 25 C. (a) What is the average molar mass of starch? (The result is an average because not all starch molecules are identical.) (b) What is the freezing point of the solution? Would it be easy to determine the molecular weight of starch by measuring the freezing point depression? (Assume that the molarity and molality are the same for this solution.)
Consider two solutions, A and B, separated by an osmotic semipermeable membrane that allows only water to pass through, as shown in the diagram in Problem 8-113. Based on each of the following identities for solutions A and B, indicate whether the liquid level in compartment A, with time, will increase, decrease, or not change. a. A = 1.0 M glucose solution and B = 2.0 M glucose solution b. A = 5.0%(m/v) NaCl solution and B = 4.0%(m/v) NaCl solution c. A = 2.0 M Na2SO4 solution and B = 3.0 M KNO3 solution d. A = 2.0 M glucose solution and B = 1.0 M NaCl solution
Bradykinin is a small peptide (9 amino acids; 1060 g/mol) that lowers blood pressure by causing blood vessels to dilate. What is the osmotic pressure of a solution of this protein at 20 C if 0.033 g of the peptide is dissolved in water to give 50.0 mL of solution?

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