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When calcium chloride \(\left(\mathrm{CaCl}_{2}\right)\) dissolves in water, the temperature of the water increases dramatically. Compared to \(\mathrm{CaCl}_{2},\) what must be true regarding the hydration energy of \(\mathrm{CaF}_{2} ?\) (A) It would be greater because fluoride is smaller than chloride. (B) It would be the same because the charges of fluoride and chloride are identical. (C) It would be the same because hydration energy is only dependent on the IMFs present in water. (D) It would be smaller because the molar mass of \(\mathrm{CaF}_{2}\) is smaller than that of \(\mathrm{CaCl}_{2}\) .

Short Answer

Expert verified
(A) It would be greater because fluoride is smaller than chloride.

Step by step solution

01

Analyze the Properties of Fluoride and Chloride Ions

Fluoride is smaller than chloride. This would mean that water molecules can get closer to fluoride, which could impact the amount of energy that is released in the hydration process.
02

Compare Hydration Energies

Hydration energy is dependent on the forces between the ions and the water molecules. Because fluoride is smaller than chloride, the forces of attraction between the water molecules and the fluoride ion are stronger. Therefore, more energy is released when CaF2 dissolves than when CaCl2 dissolves.
03

Choose the Correct Answer

The greatest amount of energy is released when the smallest, most highly charged ions are hydrated. Therefore, the hydration energy of CaF2 would be greater because fluoride is smaller than chloride.

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Key Concepts

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

Calcium Chloride
Calcium chloride (\(\text{CaCl}_2\)) is a chemical compound made up of calcium and chloride ions. It is often used for de-icing roads in winter and as a drying agent because it absorbs moisture from the air. When calcium chloride dissolves in water, it releases heat, which is an exothermic reaction. This means that the process of dissolving \(\text{CaCl}_2\) increases the temperature of the water. This occurs because the hydration energy, which is the energy released when water molecules surround and interact with ions, is greater than the energy required to break the bonds in the solid calcium chloride.

When \(\text{CaCl}_2\) is added to water, the calcium ions \((\text{Ca}^{2+})\) and chloride ions \((\text{Cl}^-)\) separate and become surrounded by water molecules. This process releases a significant amount of energy because the positive and negative charges of the ions strongly attract the polar water molecules. This strong attraction results in a noticeable release of heat.
Calcium Fluoride
Calcium fluoride (\(\text{CaF}_2\)) consists of calcium and fluoride ions. Unlike calcium chloride, calcium fluoride does not dissolve as easily in water, primarily because the hydration energy is influenced by the size and charge of the ions involved. Fluoride ions \((\text{F}^-)\) are smaller than chloride ions. This smaller size allows water molecules to get closer to fluoride ions, resulting in stronger interactions.

These stronger attractions between fluoride ions and water molecules lead to greater hydration energy, which means more energy is released when \(\text{CaF}_2\) dissolves compared to \(\text{CaCl}_2\). However, due to its low solubility, \(\text{CaF}_2\) is not commonly used in the same applications as \(\text{CaCl}_2\). Instead, it is used in optics, manufacturing of certain metals, and as a source of fluoride in water supplies. Overall, the hydration energy comparison highlights how the properties of ions can significantly impact the energy dynamics in a solution.
Fluoride Ion
The fluoride ion \((\text{F}^-)\) is a negatively charged ion derived from fluorine. It is notably smaller than the chloride ion, allowing for more intimate contact with water molecules during hydration. This results in stronger attractions and greater hydration energy when fluoride ions interact with water compared to chloride ions.

The small size and high charge density of fluoride ions make them particularly effective at forming strong hydrogen bonds with water molecules. This characteristic increases the energy released upon dissolving substances like \(\text{CaF}_2\) in water, making the solution process energetically favorable. Additionally, fluoride is used in many applications, including dental care, where it helps to strengthen tooth enamel, and in water fluoridation to maintain dental health.
Chloride Ion
The chloride ion \((\text{Cl}^-)\) is larger than the fluoride ion due to its additional electron shell. This size difference results in weaker interactions with water molecules during the hydration process, compared to the fluoride ion. Despite these weaker interactions, chloride ions are still effective at interacting with water molecules due to their negative charge.

Because the chloride ion is larger, water molecules cannot get as close as they can to fluoride ions, which means the hydration energy is less for chloride ions than for fluoride ions in calcium salts. This is why substances like \(\text{CaCl}_2\) have different properties than \(\text{CaF}_2\). Chloride ions are common in various applications, including the production of table salt and in physiological processes such as maintaining electrical neutrality across cell membranes and regulating fluid balance.

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Most popular questions from this chapter

For a reaction involving nitrogen monoxide inside a sealed flask, the value for the reaction quotient \((Q)\) was found to be \(1.1 \times 10^{2}\) at a given point. If, after this point, the amount of NO gas in the flask increased, which reaction is most likely taking place in the flask? (A) \(\operatorname{NOBr}(g) \rightarrow \operatorname{NO}(g)+1 / \operatorname{Br}_{2}(g) \quad K_{\mathrm{C}}=3.4 \times 10^{-2}\) (B) \(2 \mathrm{NOCl}(g) \mapsto 2 \mathrm{NO}(g)+\mathrm{Cl}_{2}(g) \quad K_{\mathrm{c}}=1.6 \times 10^{-5}\) (C) \(2 \mathrm{NO}(g)+2 \mathrm{H}_{2}(g) \rightarrow \mathrm{N}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(g) \quad K_{\mathrm{c}}=4.0 \times 10^{6}\) (D) \(\mathrm{N}_{2}(g)+\mathrm{O}_{2}(g) \rightarrow 2 \mathrm{NO}(g) \quad K_{\mathrm{c}}=4.2 \times 10^{2}\)

During a chemical reaction, NO(g) gets reduced and no nitrogen- containing compound is oxidized. Which of the following is a possible product of this reaction? (A) \(\mathrm{NO}_{2}(g)\) (B) \(\mathrm{N}_{2}(g)\) (C) \(\mathrm{NO}_{3}^{-}(a q)\) (D) \(\mathrm{NO}_{2}^{-}(a q)\)

Questions 45-48 refer to the following. Inside a calorimeter, 100.0 \(\mathrm{mL}\) of 1.0 \(\mathrm{M}\) hydrocyanic acid (HCN), a weak acid, and 100.0 \(\mathrm{mL}\) of 0.50 \(\mathrm{M}\) sodium hydroxide are mixed. The temperature of the mixture rises from \(21.5^{\circ} \mathrm{C}\) to \(28.5^{\circ} \mathrm{C}\) . The specific heat of the mixture is approximately \(4.2 \mathrm{J} / \mathrm{g}^{\circ} \mathrm{C},\) and the density is identical to that of water. What is the approximate amount of heat released during the reaction? \(\begin{array}{ll}{\text { (A) }} & {1.5 \mathrm{kJ}} \\ {\text { (B) }} & {2.9 \mathrm{kJ}} \\ {\text { (C) }} & {5.9 \mathrm{kJ}} \\ {\text { (D) }} & {11.8 \mathrm{kJ}}\end{array}\)

\(2 \mathrm{HI}(g)+\mathrm{Cl}_{2}(g) \rightleftharpoons 2 \mathrm{HCl}(g)+\mathrm{I}_{2}(g)+\) energy A gaseous reaction occurs and comes to equilibrium, as shown above. Which of the following changes to the system will serve to increase the number of moles of \(\mathrm{I}_{2}\) present at equilibrium? (A) Increasing the volume at constant temperature (B) Decreasing the volume at constant temperature (C) Increasing the temperature at constant volume (D) Decreasing the temperature at constant volume

Which expression below should be used to calculate the mass of copper that can be plated out of a 1.0 \(\mathrm{M} \mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}\) , solution using a current of 0.75 A for 5.0 minutes? (A) \(\frac{(5.0)(60)(0.75)(63.55)}{(96500)(2)}\) (B) \(\frac{(5.0)(60)(63.55)(2)}{(0.75)(96500)}\) (C) \(\frac{(5.0)(60)(96500)(0.75)}{(63.55)(2)}\) (D) \(\frac{(5.0)(60)(96500)(63.55)}{(0.75)(2)}\)

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