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Ch.13 - Solutions & Their Properties
Chapter 13, Problem 8

The molarity of a solution of sodium acetate (CH3COONa) at 20 C is 7.5 M. Use the graph showing the solubility of sodium acetate as a function of temperature to describe the solution. The solution is . (LO 13.7, 13.8) Graph showing sodium acetate solubility in g/100mL water as temperature increases from 0 to 100°C.
(a) Saturated (b) Unsaturated (c) Supersaturated (d) Colloidal

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Step 1: Identify the given molarity of the sodium acetate solution, which is 7.5 M.
Step 2: Convert the molarity to grams per 100 mL of water. Use the molar mass of sodium acetate (CH3COONa) to do this conversion.
Step 3: Analyze the graph to determine the solubility of sodium acetate at 20°C. Find the corresponding solubility value in g/100 mL water.
Step 4: Compare the converted solubility from Step 2 with the solubility value obtained from the graph at 20°C.
Step 5: Based on the comparison, determine if the solution is saturated, unsaturated, or supersaturated. If the concentration is higher than the solubility, it is supersaturated; if it is equal, it is saturated; if it is lower, it is unsaturated.

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Key Concepts

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

Molarity

Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. It is expressed in moles per liter (M). In this case, a 7.5 M solution of sodium acetate indicates that there are 7.5 moles of sodium acetate dissolved in every liter of solution, which is crucial for understanding the solution's saturation level.
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Solubility

Solubility refers to the maximum amount of solute that can dissolve in a given amount of solvent at a specific temperature. The graph provided shows how the solubility of sodium acetate increases with temperature, indicating that more solute can dissolve as the temperature rises. This relationship is essential for determining whether the solution is saturated, unsaturated, or supersaturated.
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Saturation Levels

Saturation levels describe the state of a solution in relation to its solute. A saturated solution contains the maximum amount of solute that can dissolve at a given temperature, while an unsaturated solution can still dissolve more solute. A supersaturated solution contains more solute than is typically soluble at that temperature, often achieved through specific conditions. Understanding these levels is key to answering the question about the sodium acetate solution.
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Related Practice
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