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Assertion : An important feature of fluo...

Assertion : An important feature of fluorite structure is that cations being large ib size occupy `FC C` lattice points, the formula unit `AB_(2)` (A cation, B anion)
Reason: There are `6` cations and `12` anions per `FC C` unit cell of the flucrite structure

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

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The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason statements regarding the fluorite structure. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that an important feature of the fluorite structure is that cations, being larger in size, occupy FCC (Face-Centered Cubic) lattice points, and the formula unit is \( AB_2 \) (where A is the cation and B is the anion). - In the fluorite structure, the cation (A) is indeed larger and occupies the FCC lattice points. 2. **Understanding the Reason**: - The reason states that there are 6 cations and 12 anions per FCC unit cell of the fluorite structure. - To verify this, we need to calculate the number of cations and anions in the FCC unit cell. 3. **Calculating Cations in FCC**: - In an FCC unit cell, cations are located at the corners and the face centers. - There are 8 corners (each contributing \( \frac{1}{8} \)) and 6 face centers (each contributing \( \frac{1}{2} \)). - Total contribution from cations: \[ \text{Cations} = 8 \times \frac{1}{8} + 6 \times \frac{1}{2} = 1 + 3 = 4 \text{ cations} \] 4. **Calculating Anions in FCC**: - In the fluorite structure, anions occupy the tetrahedral voids. - There are 8 tetrahedral voids in an FCC unit cell, and each void contributes 1 anion. - Total contribution from anions: \[ \text{Anions} = 8 \text{ anions} \] 5. **Conclusion**: - The assertion is correct: cations occupy FCC lattice points and the formula unit is \( AB_2 \). - The reason is incorrect: there are 4 cations and 8 anions per FCC unit cell, not 6 cations and 12 anions. - Therefore, the correct answer is that the assertion is true, but the reason is false. ### Final Answer: - Assertion: True - Reason: False

To solve the question, we need to analyze both the assertion and the reason statements regarding the fluorite structure. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that an important feature of the fluorite structure is that cations, being larger in size, occupy FCC (Face-Centered Cubic) lattice points, and the formula unit is \( AB_2 \) (where A is the cation and B is the anion). - In the fluorite structure, the cation (A) is indeed larger and occupies the FCC lattice points. ...
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