The enthalpy of solution for ammonium nitrate in water is positive. (a) Does \(\mathrm{NH}_{4} \mathrm{NO}_{3}\) dissolve endothermically or exothermically? (b) Write the chemical equation for the dissolving process. (c) Which is larger for \(\mathrm{NH}_{4} \mathrm{NO}_{3}\), the lattice enthalpy or the enthalpy of hydration?

Short Answer

Expert verified
\(\mathrm{NH}_{4}\mathrm{NO}_{3}\) dissolves endothermically. The chemical equation is \(\mathrm{NH}_{4}\mathrm{NO}_{3} (s) \rightarrow \mathrm{NH}_{4}^{+} (aq) + \mathrm{NO}_{3}^{-} (aq)\). The lattice enthalpy is larger than the enthalpy of hydration.

Step by step solution

01

Determining the Nature of Dissolving Process

The enthalpy of solution being positive indicates that the process of dissolving absorbs energy from the surroundings. If a process absorbs energy, it is endothermic. Therefore, the dissolution of ammonium nitrate (\(\mathrm{NH}_{4}\mathrm{NO}_{3}\)) in water is an endothermic process.
02

Writing the Chemical Equation for Dissolution

The chemical equation for the dissolving process of ammonium nitrate in water involves the solid salt breaking into its ions. The chemical equation is: \(\mathrm{NH}_{4}\mathrm{NO}_{3} (s) \rightarrow \mathrm{NH}_{4}^{+} (aq) + \mathrm{NO}_{3}^{-} (aq)\)
03

Comparing Lattice Enthalpy and Enthalpy of Hydration

Since the process of dissolution is endothermic (positive enthalpy of solution), the lattice enthalpy, which is the energy required to break the ionic bonds in the solid, must be larger than the enthalpy of hydration, which is the energy released when ions interact with water molecules. A positive enthalpy of solution means the energy input to break the lattice (lattice enthalpy) exceeds the energy released during hydration (enthalpy of hydration).

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Key Concepts

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

Endothermic Process
When a substance dissolves in water and the overall temperature of the solution decreases, it's a telltale sign of an endothermic process. This means that the solution process requires the absorption of heat from the surrounding environment, resulting in a cooler solution. In the case of ammonium nitrate (\r\(\mathrm{NH}_{4}\mathrm{NO}_{3}\)), the enthalpy of solution is positive, which clearly tells us that the dissolution in water is indeed endothermic. It's like when you need to warm your hands; you wouldn't grab an ice cube. The ice (like the ammonium nitrate) absorbs heat from your hands (like the surroundings).

Understanding endothermic reactions is crucial for students, as these reactions have wide implications across chemistry, including refrigeration and certain agricultural practices that leverage such chemicals for cooling.
Lattice Enthalpy
Imagine building a large tower from toy blocks; this represents the solid structure of an ionic compound. Lattice enthalpy is akin to the effort required to knock down that tower, as it measures the energy needed to break apart the ionic lattice into individual ions. For ammonium nitrate, separating the \r\(\mathrm{NH}_{4}^{+}\) and \r\(\mathrm{NO}_{3}^{-}\) ions requires a significant amount of energy, indicative of a high lattice enthalpy value. This is the primary reason behind the enthalpy of solution being positive.

Grasping lattice enthalpy is essential for students because it gives insight into the stability of ionic compounds and factors that affect solubility in different solvents.
Enthalpy of Hydration
As if welcoming guests into your home, water molecules surround ions when they enter the solution, a process we call hydration. The enthalpy of hydration is the energy change associated with this welcome. It's usually exothermic, meaning it releases energy, since water molecules stabilize the new arrivals through attractions to the ions. For ammonium nitrate, even though energy is released when the ions are surrounded by water, the lattice enthalpy is so high that it overshadows this release, leading to an overall endothermic process.

Understanding the enthalpy of hydration helps students predict whether a substance will dissolve in water and impacts the temperature of the solution.
Chemical Equation
Chemical equations are the sentences of chemistry; they tell us the story of what's happening during a reaction. For the dissolution of ammonium nitrate, our chemical 'sentence' reads: \r\(\mathrm{NH}_{4}\mathrm{NO}_{3} (s) \rightarrow \mathrm{NH}_{4}^{+} (aq) + \mathrm{NO}_{3}^{-} (aq)\). This equation shows the solid salt (\r\(\mathrm{NH}_{4}\mathrm{NO}_{3}\)) breaking apart into its component ions in the aqueous phase. It's an essential tool for students to visualize and understand the stoichiometry and conservation of mass in chemical processes.
Dissolution of Ammonium Nitrate
Dissolution, quite simply, is the process of a substance dissolving. When ammonium nitrate is mixed with water, the solid vanishes and breaks into \r\(\mathrm{NH}_{4}^{+}\) and \r\(\mathrm{NO}_{3}^{-}\) ions, as our chemical equation illustrates. Since the energy required to break the lattice is higher than the energy released during hydration, students can infer why the overall solvation process for ammonium nitrate is endothermic. Understanding this phenomenon helps in fields like chemical engineering, where controlling temperature during reactions is critical.

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