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An ionic compound has a very negative \(\Delta H_{\text {soln }}\) in water. (a) Would you expect it to be very soluble or nearly insoluble in water? (b) Which term would you expect to be the largest negative number: \(\Delta H_{\text {solvent }} \Delta H_{\text {solute }}\) or \(\Delta H_{\text {mix }}\) ?

Short Answer

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(a) The ionic compound would be very soluble in water due to its very negative $\Delta H_{soln}$. (b) The largest negative number among the enthalpy terms is expected to be $\Delta H_{mix}$.

Step by step solution

01

Understand the relationship between ∆H_soln and solubility

The enthalpy of solution is the change in enthalpy when a solute dissolves in a solvent. A negative ∆H_soln indicates that the dissolution process is exothermic, which means that energy is released when the solute dissolves in the solvent. In general, an exothermic dissolution process (with a negative ∆H_soln) is more likely to result in a highly soluble compound because the release of energy favors the formation of a solution.
02

Analyze the solubility of the ionic compound

Based on the negative ∆H_soln given, we can infer that the ionic compound is likely to be very soluble in water. This is because the dissolving process is exothermic, releasing energy and favoring the formation of a solution.
03

Understand the relationship between ∆H_solvent, ∆H_solute, and ∆H_mix

The enthalpy of solution (∆H_soln) can be calculated using the equation: \[∆H_{soln} = ∆H_{solvent} + ∆H_{solute} + ∆H_{mix}\] Where ∆H_solvent is the enthalpy change associated with breaking the intermolecular attractions in the solvent (usually endothermic), ∆H_solute is the enthalpy change associated with breaking the intermolecular attractions in the solute (usually endothermic), and ∆H_mix is the enthalpy change associated with the formation of new intermolecular attractions between the solute and solvent (usually exothermic).
04

Determine the largest negative term

Since the overall ∆H_soln is very negative (meaning highly exothermic), it implies that the sum of the exothermic term, ∆H_mix, and the endothermic terms, ∆H_solvent and ∆H_solute, must be very negative. Among the endothermic terms, ∆H_mix is expected to be large in magnitude to make the overall ∆H_soln very negative. Therefore, we expect ∆H_mix to be the largest negative number. Putting it all together: (a) The ionic compound is expected to be very soluble in water due to its very negative ∆H_soln. (b) The largest negative number among the enthalpy terms is expected to be ∆H_mix.

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Key Concepts

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

Enthalpy of Solution
The enthalpy of solution, often represented as \( \Delta H_{soln} \), is a term used in chemistry to describe the heat change that occurs when a solute dissolves in a solvent to form a solution. This concept is critical for understanding why certain substances dissolve in water while others do not.

The enthalpy of solution is the total heat absorbed or released during the process of dissolution. It encompasses three separate changes: the breaking of intermolecular forces within the solute (endothermic process), the breaking of intermolecular forces within the solvent (usually also endothermic), and the formation of new interactions between solute and solvent molecules (exothermic process).

Understanding Exothermic Solubility

When \( \Delta H_{soln} \) is negative, it indicates that overall, energy is released, making the process exothermic. Substances with a highly negative enthalpy of solution are typically more likely to dissolve in water, as the energetically favorable release of heat helps to drive the dissolution process forward.
Exothermic Dissolution
An exothermic dissolution occurs when a substance dissolves in a solvent and releases heat in the process. In terms of energetics, this means that more energy is given off when the solute molecules interact with the solvent than is used to separate the molecules of the solute and the solvent individually.

As a result, the surrounding environment gets warmer, which is a common experience when dissolving an ionic solid like salt in water. In exothermic dissolution, the heat released provides a clue to solubility: a substance that makes the surrounding environment warmer is releasing energy, thereby indicating a tendency to dissolve more readily, as it likely forms strong attractions with the solvent molecules.
Enthalpy Change
The term enthalpy change refers to the amount of heat absorbed or released during a chemical reaction or physical change, at constant pressure. It is denoted as \( \Delta H \). Enthalpy change can manifest in various forms, including the aforementioned enthalpy of solution when substances dissolve.

Enthalpy Change in Solubility

If a substance has a negative enthalpy change upon dissolving, the process is exothermic and will generally result in a solution being formed with greater ease, as the release of heat is favorable. Reactions with large negative enthalpy changes tend to proceed to completion, which in the context of solubility means a high degree of dissolution of the solute into the solvent.
Ionic Compounds in Water
When discussing the solubility of ionic compounds in water, it's essential to recognize the polar nature of water molecules. Water's polarity makes it an excellent solvent for ionic substances, which are composed of positively and negatively charged ions.

As an ionic compound dissolves, water molecules surround and stabilize the separated ions, a process referred to as hydration. This interaction is critically important because it lowers the overall energy of the system, making it thermodynamically favorable for ionic compounds to dissolve. However, the solubility of an ionic compound in water not only depends on the enthalpy change but also on other factors, such as the temperature and the presence of other ions in solution.

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Most popular questions from this chapter

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