Questions: Considering that the size of the ion also depends on the size of its solvation shell (the water molecules surrounding the ion in solution), conclude which ion (Na+, Li+, K+) has a larger solvation shell.
Transcript text: (1pts)
10. Considering that the size of the ion also depends on the size of its solvation shell (the water molecules surrounding the ion in solution), conclude which ion $\left(\mathrm{Na}^{+}, \mathrm{Li}^{+}, \mathrm{K}^{+}\right)$has a larger solvation shell.
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Solution
Solution Steps
Step 1: Understanding Solvation Shells
The solvation shell of an ion refers to the layer of solvent molecules, such as water, that surround the ion in a solution. The size of the solvation shell is influenced by the charge density of the ion, which is determined by the charge of the ion and its ionic radius.
Step 2: Analyzing Charge Density
Charge density is higher for ions with smaller radii and the same charge. Among the ions given, \(\mathrm{Li}^{+}\), \(\mathrm{Na}^{+}\), and \(\mathrm{K}^{+}\), \(\mathrm{Li}^{+}\) has the smallest ionic radius, followed by \(\mathrm{Na}^{+}\), and then \(\mathrm{K}^{+}\).
Step 3: Relating Charge Density to Solvation Shell Size
A higher charge density results in a stronger attraction between the ion and the surrounding water molecules, leading to a larger solvation shell. Therefore, the ion with the highest charge density, \(\mathrm{Li}^{+}\), will have the largest solvation shell.
Final Answer
\(\boxed{\mathrm{Li}^{+}}\) has the larger solvation shell.