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Ch.13 - Solutions & Their Properties
Chapter 13, Problem 33

Two beakers, one with pure water (blue) and the other with a solution of NaCl in water (green), are placed in a closed container as represented by drawing (a). Which of the draw- ings (b)–(d) represents what the beakers will look like after a substantial amount of time has passed?Two beakers: one with blue water and one with green NaCl solution in a closed container.
Four beakers showing different stages of mixing blue water and pink NaCl solution over time.

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1
Identify the initial conditions: one beaker contains pure water (blue) and the other contains a NaCl solution (green).
Understand the concept of osmosis: water will move from the area of lower solute concentration (pure water) to the area of higher solute concentration (NaCl solution) through a semipermeable membrane.
Recognize that in a closed container, the water vapor will equilibrate between the two beakers over time.
Determine that the beaker with pure water will lose water, and the beaker with the NaCl solution will gain water.
Compare the final states of the beakers in the images provided: the correct drawing will show the beaker with pure water having less water and the beaker with NaCl solution having more water.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Diffusion

Diffusion is the process by which molecules spread from areas of high concentration to areas of low concentration. In the context of the beakers, the NaCl solution will gradually mix with the pure water due to the movement of salt ions and water molecules, leading to a uniform concentration over time.
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Equilibrium

Equilibrium in a chemical context refers to the state where the concentrations of reactants and products remain constant over time. In this scenario, after sufficient time, the concentrations of NaCl and water will reach a point where the rate of diffusion into and out of the beakers is balanced, resulting in a stable mixture.
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Concentration Gradient

A concentration gradient exists when there is a difference in concentration of a substance across a space. In this experiment, the gradient between the pure water and the NaCl solution drives the diffusion process, as the salt ions move from the area of higher concentration (NaCl solution) to the area of lower concentration (pure water) until equilibrium is achieved.
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Related Practice
Textbook Question
Hemoglobin is a large molecule that carries oxygen in the body. An aqueous solution that contains 2.61 g of hemoglo- bin in 100.0 mL has an osmotic pressure of 7.52 mmHg at 25 °C. What is the molar mass of the hemoglobin? Assume hemoglobin does not dissociate in water. (LO 13.15) (a) 1.96 * 103 g>mol (b) 84.8 g/mol (c) 6.45 * 104 g>mol (d) 3.65 * 103 g>mol
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Textbook Question
The following phase diagram shows part of the vapor- pressure curves for a pure liquid (green curve) and a solution of the first liquid with a second volatile liquid (red curve).

(a) Is the boiling point of the second liquid higher or lower than that of the first liquid?
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Textbook Question
The following phase diagram shows part of the liquid–vapor phase-transition boundaries for pure ether and a solution of a nonvolatile solute in ether.

(b) What is the approximate mo#lal concentration of the sol-ute? [Kb for ether is 2.021°C kg2>mol.]
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Open Question
The following phase diagram shows a very small part of the solid–liquid phase-transition boundaries for two solutions of equal concentration. Substance A has i = 1, and substance B has i = 3. (a) Which line, red or blue, represents a solution of A, and which represents a solution of B? (b) What is the approximate melting point of the pure liquid solvent? (c) What is the approximate molal concentration of each solution, assuming the solvent has Kf = 3.0 °C/m?
Textbook Question
If a single 5-g block of NaCl is placed in water, it dissolves slowly, but if 5 g of powdered NaCl is placed in water, it dis- solves rapidly. Explain.
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Open Question
Why do ionic substances with higher lattice energies tend to be less soluble in water than substances with lower lattice energies?