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Assertion (A) : CsCl crystal, the coordi...

Assertion (A) : `CsCl` crystal, the coordination number of `Cs^(o+)` ion is `8`.
Reason (R ) : `Cl^(ɵ)` ion in `CsCl` adopt `bcc` type of packing,
a.If both `(A)` and `(R)` are correct, and `(R)` is the correct explanation of `(A)`
b.If both `(A)` and `(R)` are correct, but `(R)` is not the correct explanation of `(A)`
c.If `(A)` is correct, but `(R)` is incorrect.
d.If both `(A)` is incorrect, but `(R)` is correct.

A

If both `(A)` and `(R)` are correct, and `(R)` is the correct explanation of `(A)`

B

If both `(A)` and `(R)` are correct, but `(R)` is not the correct explanation of `(A)`

C

If `(A)` is correct, but `(R)` is incorrect.

D

If both `(A)` is incorrect, but `(R)` is correct.

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 cesium chloride (CsCl) and its coordination number. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that in a CsCl crystal, the coordination number of the Cs⁺ ion is 8. - Coordination number refers to the number of nearest neighbor ions surrounding a central ion in a crystal lattice. 2. **Analyzing the Crystal Structure**: - CsCl adopts a body-centered cubic (BCC) structure. - In this structure, the Cs⁺ ion is located at the body center of the cube, while the Cl⁻ ions are located at the corners of the cube. 3. **Determining the Coordination Number**: - In a BCC structure, the central Cs⁺ ion is surrounded by 8 Cl⁻ ions located at the corners of the cube. - Each corner ion contributes to the coordination of the central ion, leading to a total of 8 nearest neighbor ions. - Therefore, the assertion that the coordination number of Cs⁺ is 8 is correct. 4. **Understanding the Reason (R)**: - The reason states that Cl⁻ ions in CsCl adopt BCC type of packing. - This is also true because the Cl⁻ ions are indeed located at the corners of the BCC unit cell. 5. **Evaluating the Relationship**: - The reason correctly explains why the coordination number of Cs⁺ is 8, as it is due to the BCC packing of Cl⁻ ions. - Therefore, both the assertion and the reason are correct, and the reason provides the correct explanation for the assertion. ### Conclusion: Based on the analysis, the correct option is: **a. If both (A) and (R) are correct, and (R) is the correct explanation of (A)**. ---
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