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A semipermeable membrane separates two aqueous solutions at \(20^{\circ} \mathrm{C}\). For each of the following cases, name the solution into which a net flow of water (if any) will occur: (a) \(0.10 \mathrm{M} \mathrm{NaCl}(a q)\) and \(0.10 \mathrm{M} \mathrm{KBr}(a q)\) (b) \(0.10 \mathrm{M} \mathrm{Al}\left(\mathrm{NO}_{3}\right)_{3}(a q)\) and \(0.20 \mathrm{M} \mathrm{NaNO}_{3}(a q)\) (c) \(0.10 \mathrm{M} \mathrm{CaCl}_{2}(a q)\) and \(0.50 \mathrm{M} \mathrm{CaCl}_{2}(a q)\)

Short Answer

Expert verified
(a) No flow; (b) No flow; (c) Into 0.50 M CaCl鈧.

Step by step solution

01

Understanding Osmosis

Osmosis is the movement of water across a semipermeable membrane from a region of lower solute concentration to a region of higher solute concentration. We need to determine where this net flow of water will occur in each case.
02

Calculate Effective Concentrations

We should account for ion dissociation in solutions while determining concentrations: - For case (a), both NaCl and KBr dissociate into 2 ions each, so they are 0.20 M ionic solutions. Hence, no net flow occurs. - For case (b), Al(NO鈧)鈧 yields 4 ions per molecule (1 Al鲁鈦 and 3 NO鈧冣伝), resulting in an effective concentration of 0.40 M, while NaNO鈧 provides 0.40 M with its 2 ions. Here, no flow occurs. - For case (c), 0.10 M CaCl鈧 produces 0.30 M ions, whereas 0.50 M CaCl鈧 provides 1.50 M ions. Water will flow towards the 0.50 M CaCl鈧 solution.
03

Conclusion for Water Flow

Based on the calculated effective concentrations: - For (a), no net flow of water as the ionic concentrations are equal. - For (b), no net flow of water as the ionic concentrations are equal. - For (c), water flows into the 0.50 M CaCl鈧 solution.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Semipermeable Membrane
In the context of osmosis, a semipermeable membrane plays a critical role in determining the movement of water between solutions. This type of membrane allows the passage of certain molecules or ions, while blocking others. Typically, water molecules can pass freely, whereas larger solute molecules or specific ions cannot.

This selective permeability is what makes osmosis an important process in biological and chemical contexts. It helps maintain equilibrium, ensuring that cells remain in a proper and balanced environment.

When discussing the exercise where two solutions are separated by a semipermeable membrane, it is essential to focus on how this barrier permits only water to travel across. This is because of the difference in solute concentrations on either side, driving the net movement of water to balance these disparities.
Ion Dissociation
Ion dissociation refers to the process by which an ionic compound separates into its individual ions when dissolved in water. This is a fundamental concept in the study of aqueous solutions and is key to understanding how solute concentration affects osmosis.

Taking the example of NaCl, it dissociates into Na鈦 and Cl鈦 ions in a solution. Each formula unit of NaCl contributes two particles (one Na鈦 and one Cl鈦) to the solution. Similarly, compounds like KBr and CaCl鈧 dissociate into their respective ionic components.

For instance, in CaCl鈧, each unit dissolves to yield one Ca虏鈦 ion and two Cl鈦 ions, resulting in three ions per molecule. This means that the effective concentration of ions is crucial for calculating how solutions will interact when separated by a semipermeable membrane. More ions present imply a higher osmotic pressure, which influences the net movement of water during osmosis.
Solute Concentration
Solute concentration is a measure of the amount of solute dissolved in a given quantity of solvent, typically expressed in molarity (M). It defines how concentrated a solution is, affecting the direction and rate of osmosis.

The direction of water movement in osmosis is from the solution with lower solute concentration to the one with higher solute concentration. It's the distinct difference in solute concentrations across a semipermeable membrane that drives water movement.

In the exercise problem, calculation of effective concentrations considers the total number of ions produced by solute dissociation. This ensures accurate assessment of the osmotic potential of each solution. For instance, when you have a solution of 0.10 M CaCl鈧, the effective ion concentration is higher due to dissociation, increasing its osmotic pull on water.
Aqueous Solutions
Aqueous solutions are solutions where water acts as the solvent. They are a fundamental aspect of chemistry and crucial for various biological processes, including osmosis.

When substances dissolve in water, they engage in interactions with water molecules, often leading to dissociation for ionic compounds. This interaction is what defines the behavior of solutions in osmotic processes.

Water, being a universal solvent, facilitates the movement of ions and other small molecules, making it essential for processes within living organisms and during experiments involving semipermeable membranes.
  • One key property of aqueous solutions is their ability to allow solute particles to interact with the solvent, resulting in distinct behaviors such as increased conductivity in ionic solutions.
  • In the context of the exercise, understanding the nature of aqueous solutions helps in predicting the flow of water influenced by solute concentration and ion dissociation across a semipermeable membrane.

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