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Atoms of element X forms fcc lattice and those of the element Y occupy 1\3 rd of the tetrahedral voids. The formula of the compound will be
- a)XY2
- b)X3Y2
- c)XY
- d)X2Y3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Atoms of element X forms fcc lattice and those of the element Y occupy...
Number of atoms of X per unit cell = 4
Number of atoms Y per unit cell = (1/3) x 8
(∵ Number of tetrahedral voids = 2 x N)
Hence, Formula of the compound is X3, Y2
Number of atoms Y per unit cell = (1/3) x 8
(∵ Number of tetrahedral voids = 2 x N)
Hence, Formula of the compound is X3, Y2
Most Upvoted Answer
Atoms of element X forms fcc lattice and those of the element Y occupy...
Given information:
- Atoms of element X form fcc lattice
- Atoms of element Y occupy 1/3rd of the tetrahedral voids
To determine the formula of the compound formed between X and Y, we need to consider the ratio of X and Y atoms in the crystal lattice.
Explanation:
1. The fcc lattice consists of 4 atoms per unit cell. Each corner atom is shared by 8 unit cells, while each face-centered atom is shared by 2 unit cells. So, the total number of atoms in one unit cell can be calculated as:
Number of atoms = (8 × 1/8) + (6 × 1/2) = 4
2. The tetrahedral voids in an fcc lattice are located at the center of each tetrahedron formed by 4 atoms. The number of tetrahedral voids per unit cell can be calculated as:
Number of tetrahedral voids = 2 × Number of atoms
= 2 × 4 = 8
3. Since the atoms of element Y occupy 1/3rd of the tetrahedral voids, the number of Y atoms per unit cell can be calculated as:
Number of Y atoms = 1/3 × Number of tetrahedral voids
= 1/3 × 8 = 2.67 ≈ 3
4. The remaining voids are occupied by atoms of element X. Since each tetrahedral void is surrounded by 4 atoms, the number of X atoms per unit cell can be calculated as:
Number of X atoms = 4 - Number of Y atoms
= 4 - 3 = 1
5. Therefore, the ratio of X and Y atoms in the compound is X:Y = 1:3. The formula of the compound can be written as X3Y2, which is option B.
Conclusion:
The formula of the compound formed between element X and Y, where X atoms form an fcc lattice and Y atoms occupy 1/3rd of the tetrahedral voids, is X3Y2.
- Atoms of element X form fcc lattice
- Atoms of element Y occupy 1/3rd of the tetrahedral voids
To determine the formula of the compound formed between X and Y, we need to consider the ratio of X and Y atoms in the crystal lattice.
Explanation:
1. The fcc lattice consists of 4 atoms per unit cell. Each corner atom is shared by 8 unit cells, while each face-centered atom is shared by 2 unit cells. So, the total number of atoms in one unit cell can be calculated as:
Number of atoms = (8 × 1/8) + (6 × 1/2) = 4
2. The tetrahedral voids in an fcc lattice are located at the center of each tetrahedron formed by 4 atoms. The number of tetrahedral voids per unit cell can be calculated as:
Number of tetrahedral voids = 2 × Number of atoms
= 2 × 4 = 8
3. Since the atoms of element Y occupy 1/3rd of the tetrahedral voids, the number of Y atoms per unit cell can be calculated as:
Number of Y atoms = 1/3 × Number of tetrahedral voids
= 1/3 × 8 = 2.67 ≈ 3
4. The remaining voids are occupied by atoms of element X. Since each tetrahedral void is surrounded by 4 atoms, the number of X atoms per unit cell can be calculated as:
Number of X atoms = 4 - Number of Y atoms
= 4 - 3 = 1
5. Therefore, the ratio of X and Y atoms in the compound is X:Y = 1:3. The formula of the compound can be written as X3Y2, which is option B.
Conclusion:
The formula of the compound formed between element X and Y, where X atoms form an fcc lattice and Y atoms occupy 1/3rd of the tetrahedral voids, is X3Y2.
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Atoms of element X forms fcc lattice and those of the element Y occupy...
See for fcc z=4 .tetrahedral voids is 2×4.but in question they asked 1/3×8 then u will get answer
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Atoms of element X forms fcc lattice and those of the element Y occupy 1\3 rd of the tetrahedral voids. The formula of the compound will bea)XY2b)X3Y2c)XYd)X2Y3Correct answer is option 'B'. Can you explain this answer?
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Atoms of element X forms fcc lattice and those of the element Y occupy 1\3 rd of the tetrahedral voids. The formula of the compound will bea)XY2b)X3Y2c)XYd)X2Y3Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Atoms of element X forms fcc lattice and those of the element Y occupy 1\3 rd of the tetrahedral voids. The formula of the compound will bea)XY2b)X3Y2c)XYd)X2Y3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Atoms of element X forms fcc lattice and those of the element Y occupy 1\3 rd of the tetrahedral voids. The formula of the compound will bea)XY2b)X3Y2c)XYd)X2Y3Correct answer is option 'B'. Can you explain this answer?.
Atoms of element X forms fcc lattice and those of the element Y occupy 1\3 rd of the tetrahedral voids. The formula of the compound will bea)XY2b)X3Y2c)XYd)X2Y3Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Atoms of element X forms fcc lattice and those of the element Y occupy 1\3 rd of the tetrahedral voids. The formula of the compound will bea)XY2b)X3Y2c)XYd)X2Y3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Atoms of element X forms fcc lattice and those of the element Y occupy 1\3 rd of the tetrahedral voids. The formula of the compound will bea)XY2b)X3Y2c)XYd)X2Y3Correct answer is option 'B'. Can you explain this answer?.
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Atoms of element X forms fcc lattice and those of the element Y occupy 1\3 rd of the tetrahedral voids. The formula of the compound will bea)XY2b)X3Y2c)XYd)X2Y3Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Atoms of element X forms fcc lattice and those of the element Y occupy 1\3 rd of the tetrahedral voids. The formula of the compound will bea)XY2b)X3Y2c)XYd)X2Y3Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Atoms of element X forms fcc lattice and those of the element Y occupy 1\3 rd of the tetrahedral voids. The formula of the compound will bea)XY2b)X3Y2c)XYd)X2Y3Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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