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In each pair of ionic compounds, which is more likely to have the more negative enthalpy of hydration? Briefly explain your reasoning in each case. (a) LiCl or CsCl (b) \(\mathrm{NaNO}_{3}\) or \(\mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2}\) (c) RbCl or NiCl_

Short Answer

Expert verified
LiCl, Mg(NO3)2, and NiCl2 have more negative enthalpies of hydration.

Step by step solution

01

Understanding Enthalpy of Hydration

The enthalpy of hydration is the amount of energy released when one mole of ions dissolve in water to form an aqueous solution. Compounds with smaller cation size or higher charge typically have more negative enthalpies of hydration.
02

Comparing LiCl and CsCl

Lithium (Li) has a smaller ionic radius than Cesium (Cs). This smaller size allows Li+ to interact more strongly with water molecules, resulting in a more negative enthalpy of hydration compared to CsCl.
03

Comparing NaNO3 and Mg(NO3)2

Magnesium (Mg) has a +2 charge compared to Sodium's (Na) +1 charge. The higher charge density of Mg2+ allows it to interact more strongly with water molecules, leading to a more negative enthalpy of hydration compared to NaNO3.
04

Comparing RbCl and NiCl2

Nickel (Ni) in NiCl2 has a +2 charge compared to Rubidium's (Rb) +1 charge. The higher charge density of Ni2+ makes NiCl2 have a stronger attraction with water molecules, therefore having a more negative enthalpy of hydration compared to RbCl.

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Key Concepts

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

Ionic Compounds
Ionic compounds are chemical compounds composed of ions held together by electrostatic forces known as ionic bonding. These compounds consist of cations, which are positively charged ions, and anions, which are negatively charged ions. Together, they form a structure that is electrically neutral.

When ionic compounds dissolve in water, the ions disassociate and interact with water molecules. This process typically results in the release or absorption of energy, defined by the enthalpy of hydration. The formation of hydration shells around the ions is crucial as it influences various properties of solutions, such as electrical conductivity and solubility.

For instance, in the exercise, the dissolution of compounds like LiCl and CsCl showcases how ionic bonding promotes strong interactions with water, influenced predominantly by ionic characteristics like cation size and charge density.
Cation Size
The size of cations plays a vital role in determining the enthalpy of hydration. Cations are smaller than their parent atoms due to the loss of an electron shell, resulting in a higher positive charge density that can strongly attract water molecules.

When a cation interacts with a water molecule, the oxygen atom in water, which is slightly negative, is attracted to the positive ion. This results in the formation of hydration shells. Smaller cations like Li鈦 can interact more strongly with water than larger cations because their charge is concentrated over a smaller volume, leading to stronger electrostatic attraction.

In the exercise, Li鈦 from LiCl demonstrates a more negative enthalpy of hydration than Cs鈦 from CsCl, largely due to its smaller size, which increases its ability to attract water molecules effectively.
Charge Density
Charge density refers to the concentration of electrical charge in a given space and is a pivotal factor affecting the enthalpy of hydration. It is influenced by both the magnitude of the charge and the size of the ion. Higher charge density usually results in stronger attractions between ions and water molecules, leading to more negative enthalpy of hydration.

Cations with higher charges exert more substantial attractions on the surrounding water molecules. For example, a Mg虏鈦 ion in Mg(NO鈧)鈧 has a higher charge density compared to a Na鈦 ion in NaNO鈧 because it not only possesses a greater charge but is also smaller in size. Consequently, Mg虏鈦 will result in stronger interactions with water molecules, releasing more energy during hydration.

Similarly, Ni虏鈦 from NiCl鈧 has a higher charge density compared to Rb鈦 from RbCl, which corresponds to a stronger attraction with water molecules and a more negative enthalpy of hydration.

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Most popular questions from this chapter

Compare the boiling points of the various isomeric hydrocarbons shown in the table below. Notice the relationship between boiling point and structure; branched-chain hydrocarbons have lower boiling points than the unbranched isomer. Speculate on possible reasons for this trend. Why might the intermolecular forces be slightly different in these compounds? $$\begin{array}{lc} \text { Compound } & \text { Boiling point }\left(^{\circ} \mathrm{C}\right) \\ \hline \text { Hexane } & 68.9 \\ \text { 3-Methylpentane } & 63.2 \\ \text { 2-Methylpentane } & 60.3 \\ \text { 2,3-Dimethylbutane } & 58.0 \\ \text { 2,2-Dimethylbutane } & 49.7 \\ \hline \end{array}$$

Rank the following in order of increasing strength of intermolecular forces in the pure substances. Which substance exists as a gas at \(25^{\circ} \mathrm{C}\) and 1 atm? (a) \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{CH}_{3}\) (butane) (b) \(\mathrm{CH}_{3} \mathrm{OH}\) (methanol) (c) He

What types of intermolecular forces are important in the liquid phase of (a) \(\mathrm{C}_{2} \mathrm{H}_{6}\) and (b) \(\left(\mathrm{CH}_{3}\right)_{2} \mathrm{CHOH} .\)

Rank the following compounds in order of increasing molar enthalpy of vaporization: \(\mathrm{CH}_{3} \mathrm{OH}, \mathrm{C}_{2} \mathrm{H}_{6}, \mathrm{HCl}.\)

Liquid ethylene glycol, HOCH \(_{2} \mathrm{CH}_{2} \mathrm{OH},\) is one of the main ingredients in commercial antifreeze. Do you predict its viscosity to be greater or less than that of ethanol, \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}\) ?

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