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A solid is formed and it has three types of atoms X, Y, Z. X forms a FCC lattice with Y atoms occupying all the tetrahedral voids and Z atoms occupying half the octahedral voids. The formula of the solid is:
- a)X2Y4Z
- b)XY2Z4
- c)X4YZ2
- d)none
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A solid is formed and it has three types of atoms X, Y, Z. X forms a F...
In an fcc unit cell, there are 4 atoms in one unit cell. X forms fcc lattice. Hence, number of X atoms in unit cell = 4. Y atoms occupies all tetrahedral voids. In fcc unit cell, there are 8 tetrahedral voids. Hence, number of Y atoms in unit cell = 8. Z atoms occupy half the octahedral voids. In fcc unit cell, there are 4 octahedral voids.
Hence, number of Z atoms = 4/2 =2
Hence, the ratio X:Y:Z =4:8:2 or 2:4:1 Hence, the formula of the solid is X2Y4Z
Most Upvoted Answer
A solid is formed and it has three types of atoms X, Y, Z. X forms a F...
Explanation:
The given solid has three types of atoms X, Y, Z. X forms a FCC (Face-centered cubic) lattice. Y atoms occupy all the tetrahedral voids and Z atoms occupy half the octahedral voids.
FCC Lattice:
In an FCC lattice, the atoms are arranged in a cubic close-packed structure with one atom at each corner and one atom in the center of each face of the cube. This arrangement gives a coordination number of 12 for each atom.
Tetrahedral Voids:
In a FCC lattice, there are tetrahedral voids located between the four atoms that form a tetrahedron. These voids have a coordination number of 4 and are occupied by smaller atoms.
Octahedral Voids:
In a FCC lattice, there are octahedral voids located between the six atoms that form an octahedron. These voids have a coordination number of 6 and are occupied by smaller atoms.
Formula of the Solid:
X forms a FCC lattice, so the formula will start with X. Y atoms occupy all the tetrahedral voids. In a FCC lattice, there are twice as many tetrahedral voids as there are atoms, so the formula will have 4Y. Z atoms occupy half the octahedral voids. In a FCC lattice, there is one octahedral void for each atom, so the formula will have 2Z. Therefore, the formula of the solid is X2Y4Z.
Answer:
The correct answer is option 'A' (X2Y4Z).
The given solid has three types of atoms X, Y, Z. X forms a FCC (Face-centered cubic) lattice. Y atoms occupy all the tetrahedral voids and Z atoms occupy half the octahedral voids.
FCC Lattice:
In an FCC lattice, the atoms are arranged in a cubic close-packed structure with one atom at each corner and one atom in the center of each face of the cube. This arrangement gives a coordination number of 12 for each atom.
Tetrahedral Voids:
In a FCC lattice, there are tetrahedral voids located between the four atoms that form a tetrahedron. These voids have a coordination number of 4 and are occupied by smaller atoms.
Octahedral Voids:
In a FCC lattice, there are octahedral voids located between the six atoms that form an octahedron. These voids have a coordination number of 6 and are occupied by smaller atoms.
Formula of the Solid:
X forms a FCC lattice, so the formula will start with X. Y atoms occupy all the tetrahedral voids. In a FCC lattice, there are twice as many tetrahedral voids as there are atoms, so the formula will have 4Y. Z atoms occupy half the octahedral voids. In a FCC lattice, there is one octahedral void for each atom, so the formula will have 2Z. Therefore, the formula of the solid is X2Y4Z.
Answer:
The correct answer is option 'A' (X2Y4Z).
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A solid is formed and it has three types of atoms X, Y, Z. X forms a FCC lattice with Y atoms occupying all the tetrahedral voids and Z atoms occupying half the octahedral voids. The formula of the solid is:a)X2Y4Zb)XY2Z4c)X4YZ2d)noneCorrect answer is option 'A'. Can you explain this answer?
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A solid is formed and it has three types of atoms X, Y, Z. X forms a FCC lattice with Y atoms occupying all the tetrahedral voids and Z atoms occupying half the octahedral voids. The formula of the solid is:a)X2Y4Zb)XY2Z4c)X4YZ2d)noneCorrect answer is option 'A'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about A solid is formed and it has three types of atoms X, Y, Z. X forms a FCC lattice with Y atoms occupying all the tetrahedral voids and Z atoms occupying half the octahedral voids. The formula of the solid is:a)X2Y4Zb)XY2Z4c)X4YZ2d)noneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid is formed and it has three types of atoms X, Y, Z. X forms a FCC lattice with Y atoms occupying all the tetrahedral voids and Z atoms occupying half the octahedral voids. The formula of the solid is:a)X2Y4Zb)XY2Z4c)X4YZ2d)noneCorrect answer is option 'A'. Can you explain this answer?.
A solid is formed and it has three types of atoms X, Y, Z. X forms a FCC lattice with Y atoms occupying all the tetrahedral voids and Z atoms occupying half the octahedral voids. The formula of the solid is:a)X2Y4Zb)XY2Z4c)X4YZ2d)noneCorrect answer is option 'A'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about A solid is formed and it has three types of atoms X, Y, Z. X forms a FCC lattice with Y atoms occupying all the tetrahedral voids and Z atoms occupying half the octahedral voids. The formula of the solid is:a)X2Y4Zb)XY2Z4c)X4YZ2d)noneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid is formed and it has three types of atoms X, Y, Z. X forms a FCC lattice with Y atoms occupying all the tetrahedral voids and Z atoms occupying half the octahedral voids. The formula of the solid is:a)X2Y4Zb)XY2Z4c)X4YZ2d)noneCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A solid is formed and it has three types of atoms X, Y, Z. X forms a FCC lattice with Y atoms occupying all the tetrahedral voids and Z atoms occupying half the octahedral voids. The formula of the solid is:a)X2Y4Zb)XY2Z4c)X4YZ2d)noneCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemistry.
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