Clausthalite is a mineral composed of lead(II) selenide. The mineral adopts a NaCl octahedral-type structure. If the density of PbSe is 8.27 g/cm', calculate the radius of the lead(II) ion. (The radius of selenide ion is given below.)

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**Atomic and Ionic Radii Table**

The table below presents the atomic and ionic radii of various elements. The atomic radius is measured in picometers (pm), which indicates the size of an atom's electron cloud from its nucleus to the outer boundary, while the ionic radius reflects the size of the atom's ion in picometers.

| Atom | Atomic Radius (pm) | Ionic Radius (pm) |
|------|--------------------|------------------|
| Na   | 186                | 95.0             |
| Se   | 117                | 191 (Se⁻²)       |
| Cs   | 265                | 169              |
| Cl   | 99.0               | 181              |
| Br   | 114                | 196              |
| Zn   | 135                | 74.0             |
| Tl   | 170                | 147 (Tl⁺)        |
| K    | 227                | 133              |
| S    | 104                | 184              |
| I    | 133                | 220              |

**Explanation:**

- **Atomic Radius:** It generally increases down a group and decreases across a period in the periodic table.
- **Ionic Radius:** It varies depending on the ion's charge, with cations generally being smaller than their parent atoms, and anions being larger due to electron gain.

For example, Sodium (Na) has an atomic radius of 186 pm and an ionic radius of 95.0 pm as a cation, indicating a significant decrease in size upon losing an electron to form Na⁺. Conversely, Selenium (Se) increases in size to 191 pm as its anion Se⁻², showing that gaining electrons enlarges the electron cloud.
Transcribed Image Text:**Atomic and Ionic Radii Table** The table below presents the atomic and ionic radii of various elements. The atomic radius is measured in picometers (pm), which indicates the size of an atom's electron cloud from its nucleus to the outer boundary, while the ionic radius reflects the size of the atom's ion in picometers. | Atom | Atomic Radius (pm) | Ionic Radius (pm) | |------|--------------------|------------------| | Na | 186 | 95.0 | | Se | 117 | 191 (Se⁻²) | | Cs | 265 | 169 | | Cl | 99.0 | 181 | | Br | 114 | 196 | | Zn | 135 | 74.0 | | Tl | 170 | 147 (Tl⁺) | | K | 227 | 133 | | S | 104 | 184 | | I | 133 | 220 | **Explanation:** - **Atomic Radius:** It generally increases down a group and decreases across a period in the periodic table. - **Ionic Radius:** It varies depending on the ion's charge, with cations generally being smaller than their parent atoms, and anions being larger due to electron gain. For example, Sodium (Na) has an atomic radius of 186 pm and an ionic radius of 95.0 pm as a cation, indicating a significant decrease in size upon losing an electron to form Na⁺. Conversely, Selenium (Se) increases in size to 191 pm as its anion Se⁻², showing that gaining electrons enlarges the electron cloud.
8. Clausthalite is a mineral composed of lead(II) selenide. The mineral adopts a NaCl octahedral-type structure. If the density of PbSe is 8.27 g/cm³, calculate the radius of the lead(II) ion. (The radius of selenide ion is given below.)
Transcribed Image Text:8. Clausthalite is a mineral composed of lead(II) selenide. The mineral adopts a NaCl octahedral-type structure. If the density of PbSe is 8.27 g/cm³, calculate the radius of the lead(II) ion. (The radius of selenide ion is given below.)
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