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Assertion : CsCI has body - centred cun...

Assertion : `CsCI` has body - centred cunic arrangement
Reason: `CsCI` has one and `8 CI^(-)`ion is its unit cell

A

If both assertion and reason are true and reason is the correct explanation of assertion

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false

D

If both assertion and reason are false

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided regarding the structure of CsCl (cesium chloride). ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that CsCl has a body-centered cubic (BCC) arrangement. - In a BCC structure, there is one atom at the center of the cube and one atom at each of the eight corners. 2. **Analyzing the Unit Cell of CsCl**: - In the case of CsCl, the Cs⁺ ion occupies the body center of the cube, while the Cl⁻ ions are located at the corners. - Each corner of the cube contributes 1/8th of an ion to the unit cell because each corner is shared by eight adjacent cubes. 3. **Counting the Ions in the Unit Cell**: - There are 8 corners in a cube, and since each corner contributes 1/8th of a Cl⁻ ion, the total contribution of Cl⁻ ions from the corners is: \[ 8 \times \frac{1}{8} = 1 \text{ Cl}^- \text{ ion} \] - Additionally, there is 1 Cs⁺ ion at the center of the cube. 4. **Conclusion about the Assertion**: - The assertion that CsCl has a body-centered cubic arrangement is correct. 5. **Understanding the Reason**: - The reason states that there is 1 Cs⁺ ion and 8 Cl⁻ ions in the unit cell. - From our previous calculation, we found that there is only 1 Cl⁻ ion in the unit cell, not 8. 6. **Conclusion about the Reason**: - The reason provided is incorrect because it misstates the number of Cl⁻ ions in the unit cell. ### Final Conclusion: - The assertion is true (CsCl has a body-centered cubic arrangement), but the reason is false (there is 1 Cl⁻ ion, not 8).

To solve the question, we need to analyze the assertion and the reason provided regarding the structure of CsCl (cesium chloride). ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that CsCl has a body-centered cubic (BCC) arrangement. - In a BCC structure, there is one atom at the center of the cube and one atom at each of the eight corners. ...
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