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Represent the formation of ionic compounds through the use of Lewis symbols and describe how the charges and the sizes of ions influence lattice energies. Of the ionic solids \(\mathrm{LiCl}\) and \(\mathrm{LiI}\), which has the greater lattice energy? Explain your choice.

Short Answer

Expert verified
LiCl has a greater lattice energy than LiI because Cl鈦 ions are smaller than I鈦 ions, leading to stronger attractions in LiCl.

Step by step solution

01

Understand Lewis Symbols

Lewis symbols represent the valence electrons of an atom as dots around the chemical symbol. For example, lithium (Li) has one valence electron, so it is represented as 'Li 鈰'. Chlorine (Cl) has seven valence electrons, so it is represented as '鈰呪媴Cl鈰呪媴'. Iodine (I), like Cl, also has seven valence electrons.
02

Formulation of Ionic Compounds

In an ionic compound, atoms transfer electrons to achieve stable electron configurations. For example, in LiCl, lithium donates its one valence electron to chlorine, forming Li鈦 and Cl鈦 ions. A similar process occurs in LiI, where lithium donates its valence electron to iodine, forming Li鈦 and I鈦 ions.
03

Understand Lattice Energy

Lattice energy is the energy required to separate one mole of an ionic compound into its gaseous ions. Lattice energy depends on the charges of the ions and their sizes: higher charges and smaller sizes result in greater lattice energy due to stronger electrostatic attractions between ions.
04

Compare Ion Sizes and Charges

Both LiCl and LiI involve lithium ions (Li鈦) with a +1 charge. Chloride (Cl鈦) and iodide (I鈦) ions both have a -1 charge, but Cl鈦 ions are smaller than I鈦 ions. Therefore, the smaller Cl鈦 ions in LiCl pack more closely to Li鈦 ions, resulting in stronger attraction and higher lattice energy compared to LiI, which has larger I鈦 ions.
05

Conclusion on Lattice Energies

Since LiCl has smaller anions, the electrostatic attractions between the ions are stronger compared to LiI. Consequently, LiCl has a greater lattice energy than LiI.

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Key Concepts

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

Lewis Symbols
Lewis symbols are a simple way to represent the valence electrons in an atom. These are the electrons present in an atom's outermost shell and are crucial for chemical bonding. By using dots placed around the chemical symbol, Lewis symbols help us visualize these valence electrons.

For instance, consider the lithium atom, which has one valence electron. In a Lewis symbol, lithium would be depicted as 'Li 鈰'. Similarly, chlorine and iodine, each having seven valence electrons, are shown with dots like '鈰呪媴Cl鈰呪媴' and '鈰呪媴I鈰呪媴'.

These symbols are vital in showing the transfer of electrons during the formation of ionic compounds. In an ionic bond, atoms aim to achieve a stable electron configuration similar to that of noble gases by either donating or accepting electrons. Understanding Lewis symbols assists in visualizing this electron transfer.
Lattice Energy
Lattice energy is a measure of the strength of the forces holding ions together in an ionic compound's lattice structure. It can be seen as the energy required to completely separate one mole of a solid ionic compound into its gaseous ions.

Lattice energy depends heavily on two key factors: the charges of the ions and the sizes of the ions. When ions have higher charges, there's more attraction between them, leading to higher lattice energy.

Additionally, smaller ions can pack together more closely, which also increases lattice energy due to stronger electrostatic forces. Hence, comparing ionic compounds like LiCl and LiI involves looking at both the ion sizes and charges to determine which has a higher lattice energy.
Ion Size and Charges
The size and charge of ions are critical in determining the properties of ionic compounds, especially when discussing lattice energy. The charge of an ion directly impacts the strength of the electrostatic forces鈥攊t is straightforward: the higher the charge, the stronger the attraction between ions.

Ion size matters because smaller ions allow for closer packing in the crystal lattice, maximizing the attractive forces. When comparing lithium chloride (LiCl) and lithium iodide (LiI), both compounds feature lithium ions ( Li^+ ) with a positive charge of +1. However, the anion sizes differ, with chloride ions (Cl鈦) being smaller than iodide ions (I鈦).

This size difference means Cl鈦 in LiCl can pack more tightly around Li鈦, leading to stronger attractions and therefore a greater lattice energy compared to LiI.
Electrostatic Attraction
Electrostatic attraction is the force that holds ions together in an ionic compound. This attraction occurs between positively charged cations and negatively charged anions. In essence, "opposites attract," making this a critical concept when discussing ionic bonds and lattice energy.

The strength of electrostatic attraction depends on both the magnitude of the charges and the sizes of the ions involved. Stronger attractions occur with higher charges and smaller ions. This principle explains why compounds made of higher charged ions or smaller ions generally have stronger interactions and higher lattice energies.

In ionic compounds like LiCl and LiI, the primary difference in attractions comes from the size of the anions, with Cl鈦 allowing for tighter packing and therefore stronger electrostatic attractions in LiCl compared to the larger I鈦 ions in LiI.

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