Arrange the following ions in order of increasing ionic radii.
`Li^(+), Na^(+), Al^(3+),K^(+),Mg^(2+)`

Explanation

To arrange the ions \( \text{Li}^+, \text{Na}^+, \text{Al}^{3+}, \text{K}^+, \text{Mg}^{2+} \) in order of increasing ionic radii, we will follow these steps:

### Step 1: Identify the Atomic Numbers and Electron Configurations
- **Li**: Atomic number = 3, Electron configuration = 1s² (loses 1 electron to become \( \text{Li}^+ \))
- **Na**: Atomic number = 11, Electron configuration = 1s² 2s² 2p⁶ 3s¹ (loses 1 electron to become \( \text{Na}^+ \))
- **Al**: Atomic number = 13, Electron configuration = 1s² 2s² 2p⁶ 3s² 3p¹ (loses 3 electrons to become \( \text{Al}^{3+} \))
- **K**: Atomic number = 19, Electron configuration = 1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹ (loses 1 electron to become \( \text{K}^+ \))
- **Mg**: Atomic number = 12, Electron configuration = 1s² 2s² 2p⁶ 3s² (loses 2 electrons to become \( \text{Mg}^{2+} \))
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