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The mass of a unit cell of CsCl correspo...

The mass of a unit cell of CsCl corresponds to the combined masses of :

A

` 8 Cs^(+)` and `1 Cl^(–)` ions

B

`1 Cs^(+)` and `6 Cl^(–)` ions

C

`1 Cs^(+)` and `1 Cl^(–)` ions

D

`4 Cs^(+)` and `1 Cl^(–)` ions

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The correct Answer is:
To determine the mass of a unit cell of CsCl (cesium chloride) and what it corresponds to, we need to analyze the structure of CsCl and the arrangement of its ions in the unit cell. ### Step-by-Step Solution: 1. **Understanding the Structure of CsCl**: - CsCl crystallizes in a body-centered cubic (BCC) structure. In this structure, ions are arranged in a specific manner. 2. **Identifying the Ions in the Unit Cell**: - In the BCC structure of CsCl, there are: - 1 cesium ion (Cs⁺) located at the center of the cube. - 8 chloride ions (Cl⁻) located at the corners of the cube. 3. **Counting the Contribution of Corner Ions**: - Each corner of the cube contributes 1/8 of an ion to the unit cell because each corner is shared by 8 adjacent unit cells. - Since there are 8 corners, the total contribution from the chloride ions is: \[ 8 \text{ corners} \times \frac{1}{8} = 1 \text{ Cl}^- \] 4. **Total Ions in the Unit Cell**: - Therefore, in total, the unit cell of CsCl contains: - 1 Cs⁺ ion (from the center) - 1 Cl⁻ ion (from the corners) 5. **Conclusion**: - The mass of a unit cell of CsCl corresponds to the combined masses of 1 cesium ion and 1 chloride ion. ### Answer: The mass of a unit cell of CsCl corresponds to the combined masses of **1 Cs⁺ ion and 1 Cl⁻ ion**.
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