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In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound is
- a)A2B
- b)AB2
- c)A2B3
- d)A2B5
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a face centred cubic lattice, atom A occupies the corner positions ...
In FCC arrangement
after removal of atom from face centre.
No. of A atoms per unit cell = 1/8 × 8 = 1
No. of B atoms per uni cell = = 1/2 ×5= 5/2
so formula is A2B5
after removal of atom from face centre.
No. of A atoms per unit cell = 1/8 × 8 = 1
No. of B atoms per uni cell = = 1/2 ×5= 5/2
so formula is A2B5
Most Upvoted Answer
In a face centred cubic lattice, atom A occupies the corner positions ...
Explanation:
Face-centered cubic lattice:
A face-centered cubic (FCC) lattice is a type of crystal lattice structure where atoms are arranged in a cubic pattern with additional atoms located at the center of each face of the cube.
Atom A and Atom B:
In this problem, atom A occupies the corner positions of the lattice, while atom B occupies the face center positions.
Missing atom B:
One atom of B is missing from one of the face-centered positions. This means that instead of having one atom of B at each face center, there is only an atom of A at that particular position.
Formula of the compound:
To determine the formula of the compound, we need to understand the ratio of atoms A and B in the lattice.
Ratio of atoms:
In a face-centered cubic lattice, there are 8 corner positions and 6 face-centered positions. Each corner position is occupied by atom A, and each face-centered position is occupied by atom B. Therefore, the ratio of atoms A to B in the lattice is 8:6, which simplifies to 4:3.
Missing atom B:
Since one atom of B is missing from one of the face-centered positions, the ratio of atoms A to B changes. Now, there are 8 corner positions occupied by atom A and 5 face-centered positions occupied by atom B. Therefore, the new ratio of atoms A to B is 8:5, which simplifies to 1.6:1.
Formula of the compound:
The formula of the compound is determined by the ratio of atoms A to B. In this case, the ratio is 1.6:1, which can be approximated to 2:1. Therefore, the formula of the compound is A2B5, which is option D.
Conclusion:
In a face-centered cubic lattice, if one atom of B is missing from one of the face-centered positions, the formula of the compound is A2B5.
Face-centered cubic lattice:
A face-centered cubic (FCC) lattice is a type of crystal lattice structure where atoms are arranged in a cubic pattern with additional atoms located at the center of each face of the cube.
Atom A and Atom B:
In this problem, atom A occupies the corner positions of the lattice, while atom B occupies the face center positions.
Missing atom B:
One atom of B is missing from one of the face-centered positions. This means that instead of having one atom of B at each face center, there is only an atom of A at that particular position.
Formula of the compound:
To determine the formula of the compound, we need to understand the ratio of atoms A and B in the lattice.
Ratio of atoms:
In a face-centered cubic lattice, there are 8 corner positions and 6 face-centered positions. Each corner position is occupied by atom A, and each face-centered position is occupied by atom B. Therefore, the ratio of atoms A to B in the lattice is 8:6, which simplifies to 4:3.
Missing atom B:
Since one atom of B is missing from one of the face-centered positions, the ratio of atoms A to B changes. Now, there are 8 corner positions occupied by atom A and 5 face-centered positions occupied by atom B. Therefore, the new ratio of atoms A to B is 8:5, which simplifies to 1.6:1.
Formula of the compound:
The formula of the compound is determined by the ratio of atoms A to B. In this case, the ratio is 1.6:1, which can be approximated to 2:1. Therefore, the formula of the compound is A2B5, which is option D.
Conclusion:
In a face-centered cubic lattice, if one atom of B is missing from one of the face-centered positions, the formula of the compound is A2B5.
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In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound isa)A2Bb)AB2c)A2B3d)A2B5Correct answer is option 'D'. Can you explain this answer?
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In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound isa)A2Bb)AB2c)A2B3d)A2B5Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound isa)A2Bb)AB2c)A2B3d)A2B5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound isa)A2Bb)AB2c)A2B3d)A2B5Correct answer is option 'D'. Can you explain this answer?.
In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound isa)A2Bb)AB2c)A2B3d)A2B5Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound isa)A2Bb)AB2c)A2B3d)A2B5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound isa)A2Bb)AB2c)A2B3d)A2B5Correct answer is option 'D'. Can you explain this answer?.
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