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Which cation in each pair would be expected to form an oxide with the higher melting point, assuming similar arrangements of ions in the lattice? Explain your reasoning. a. \(\mathrm{Mg}^{2+}, \mathrm{Sr}^{2+}\) b. \(\mathrm{Cs}^{+}, \mathrm{Ba}^{2+}\) c. \(\mathrm{Fe}^{2+}, \mathrm{Fe}^{3+}\)

Short Answer

Expert verified
a. Mg虏鈦 forms an oxide with a higher melting point than Sr虏鈦. b. Ba虏鈦 forms an oxide with a higher melting point than Cs鈦. c. Fe鲁鈦 forms an oxide with a higher melting point than Fe虏鈦.

Step by step solution

01

Understanding the Relationship Between Charge and Melting Point

The melting point of an oxide is influenced by the electrostatic forces between the ions in the lattice. The stronger the forces, the higher the melting point. These forces are affected by the charges of the ions: higher charges result in stronger attractions and higher melting points.
02

Comparing Mg虏鈦 and Sr虏鈦

Both Mg虏鈦 and Sr虏鈦 have the same charge (+2). However, ionic size affects melting points; smaller cations can pack more closely with the corresponding anions, forming stronger ionic bonds. Mg虏鈦 is smaller than Sr虏鈦, so MgO is expected to have a higher melting point than SrO due to the closer packing and stronger attraction between ions.
03

Comparing Cs鈦 and Ba虏鈦

Ba虏鈦 has a higher charge (+2) compared to Cs鈦 (+1), which results in a stronger electrostatic attraction between Ba虏鈦 and oxide ions compared to Cs鈦. Thus, BaO is expected to have a higher melting point than Cs鈧侽 due to stronger ionic bonding in the BaO structure.
04

Comparing Fe虏鈦 and Fe鲁鈦

Fe鲁鈦 has a higher charge (+3) compared to Fe虏鈦 (+2), leading to stronger electrostatic forces in an Fe鈧侽鈧 lattice than in an FeO lattice. Therefore, the oxide with Fe鲁鈦 (Fe鈧侽鈧) is expected to have a higher melting point than the oxide with Fe虏鈦 (FeO).

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Key Concepts

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

Ionic Charge and Melting Point
The melting point of a compound is largely determined by the strength of the electrostatic forces between ions in a lattice structure. For ionic compounds, these forces arise due to the attraction between positively charged cations and negatively charged anions. The charge of the ions plays a key role in this process.

When an ion carries a higher charge, it generates a stronger electrostatic pull on its opposite charge in the lattice, requiring more energy, and thus higher temperatures, to overcome these forces and melt the material. For example, in an oxide compound like BaO versus Cs鈧侽, Ba虏鈦 carries a charge of +2 while Cs鈦 has a charge of +1. Since Ba虏鈦 has a higher charge, it forms stronger bonds, resulting in BaO having a higher melting point.
  • Higher ionic charges increase melting points.
  • Stronger attractions require more heat to break.
This principle helps explain why compounds with higher charged ions tend to be more thermally stable.
Ionic Size Effects
While ionic charge plays a crucial role, the size of the ions is another significant factor affecting the melting point of oxides. Smaller ions tend to form stronger ionic bonds due to their ability to pack closely together in the lattice. This close packing increases the electrostatic interaction, leading to a higher melting point.

For instance, consider the ions of magnesium and strontium, Mg虏鈦 and Sr虏鈦. Although both ions have the same charge, Mg虏鈦 is smaller than Sr虏鈦. The smaller size of Mg虏鈦 allows the ions to be more tightly packed in MgO, enhancing the overall lattice energy and making MgO have a higher melting point than SrO.
  • Smaller ions lead to closer packing.
  • Closer packing enhances ionic bond strength.
Understanding ionic size effects is crucial when comparing the thermal properties of different oxides.
Electrostatic Forces in Lattices
Electrostatic forces are the primary interactions within the lattice structure of ionic compounds. These forces arise because of the attraction between oppositely charged ions. The strength and nature of these forces directly influence the melting and boiling points of the compounds.

For example, the difference in electrostatic forces between Fe虏鈦 and Fe鲁鈦 ions demonstrates why Fe鈧侽鈧 has a higher melting point than FeO. The Fe鲁鈦 ion, with its +3 charge, creates much stronger electrostatic attractions compared to the +2 charge of Fe虏鈦. In a lattice, this stronger attraction manifests in increased lattice energy, which requires significantly more heat to be overcome.
  • Higher electrostatic forces indicate stronger ionic bonds.
  • Stronger ionic bonds increase the melting point.
By understanding electrostatic forces, it becomes clearer how lattice energy contributes to the stability and properties of ionic compounds.

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