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The unit cell of a binary alloy composed of A and B metals has a CCP structure with A atoms occupying the corners and B atoms occupying centres of each face of the cube. If during the crystallization of their alloy, in the unit cell two A atom are missed, the overall composition per unit cell is:
- a)AB6
- b)AB4
- c)AB8
- d)A6B24
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The unit cell of a binary alloy composed of A and B metals has a CCPst...
Corner atoms in a unit cell have a contributions = 1/8 each
Face centred atoms have a contribution of = 1/2 each
Total No. of atoms of A in ccp = (1/8) x(8-2) = (1/8) x 6 = 3/4 atoms
Total no. of atoms of B atoms = (1/2)x 6=3 atoms
Therefor molecular formula is A3/4B3 or AB4
Face centred atoms have a contribution of = 1/2 each
Total No. of atoms of A in ccp = (1/8) x(8-2) = (1/8) x 6 = 3/4 atoms
Total no. of atoms of B atoms = (1/2)x 6=3 atoms
Therefor molecular formula is A3/4B3 or AB4
Most Upvoted Answer
The unit cell of a binary alloy composed of A and B metals has a CCPst...
Explanation:
The given alloy has a CCP structure.
- CCP stands for cubic close packing. It means that the atoms are arranged in a way that they are as close together as possible, forming a cube (with atoms at the corners and in the center of each face).
- In this alloy, A atoms occupy the corners of the cube, and B atoms occupy the centers of each face of the cube.
If two A atoms are missed, the composition per unit cell of the alloy changes. We need to determine the new composition.
- Let's start by calculating the number of A and B atoms in the original unit cell:
- A atoms: There are 8 corners in a cube, and each corner is occupied by an A atom. So, there are 8 A atoms in the unit cell.
- B atoms: There are 6 faces in a cube, and each face has 1 B atom in its center. So, there are 6 B atoms in the unit cell.
Now, if two A atoms are missed, the new composition per unit cell would be:
- A atoms: There are now only 6 A atoms in the unit cell (8 - 2 = 6).
- B atoms: There are still 6 B atoms in the unit cell.
Therefore, the new composition per unit cell is AB4.
- There are 6 A atoms and 6 B atoms in the unit cell, with a ratio of 1:1.
- So, the formula for this binary alloy is AB4.
Hence, the correct answer is option B.
The given alloy has a CCP structure.
- CCP stands for cubic close packing. It means that the atoms are arranged in a way that they are as close together as possible, forming a cube (with atoms at the corners and in the center of each face).
- In this alloy, A atoms occupy the corners of the cube, and B atoms occupy the centers of each face of the cube.
If two A atoms are missed, the composition per unit cell of the alloy changes. We need to determine the new composition.
- Let's start by calculating the number of A and B atoms in the original unit cell:
- A atoms: There are 8 corners in a cube, and each corner is occupied by an A atom. So, there are 8 A atoms in the unit cell.
- B atoms: There are 6 faces in a cube, and each face has 1 B atom in its center. So, there are 6 B atoms in the unit cell.
Now, if two A atoms are missed, the new composition per unit cell would be:
- A atoms: There are now only 6 A atoms in the unit cell (8 - 2 = 6).
- B atoms: There are still 6 B atoms in the unit cell.
Therefore, the new composition per unit cell is AB4.
- There are 6 A atoms and 6 B atoms in the unit cell, with a ratio of 1:1.
- So, the formula for this binary alloy is AB4.
Hence, the correct answer is option B.
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The unit cell of a binary alloy composed of A and B metals has a CCPstructure with A atoms occupying the corners and B atoms occupying centres of each face of the cube. If during the crystallization of their alloy, in the unit cell two A atom are missed, the overall composition per unit cell is:a)AB6b)AB4c)AB8d)A6B24Correct answer is option 'B'. Can you explain this answer?
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The unit cell of a binary alloy composed of A and B metals has a CCPstructure with A atoms occupying the corners and B atoms occupying centres of each face of the cube. If during the crystallization of their alloy, in the unit cell two A atom are missed, the overall composition per unit cell is:a)AB6b)AB4c)AB8d)A6B24Correct 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 The unit cell of a binary alloy composed of A and B metals has a CCPstructure with A atoms occupying the corners and B atoms occupying centres of each face of the cube. If during the crystallization of their alloy, in the unit cell two A atom are missed, the overall composition per unit cell is:a)AB6b)AB4c)AB8d)A6B24Correct 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 The unit cell of a binary alloy composed of A and B metals has a CCPstructure with A atoms occupying the corners and B atoms occupying centres of each face of the cube. If during the crystallization of their alloy, in the unit cell two A atom are missed, the overall composition per unit cell is:a)AB6b)AB4c)AB8d)A6B24Correct answer is option 'B'. Can you explain this answer?.
The unit cell of a binary alloy composed of A and B metals has a CCPstructure with A atoms occupying the corners and B atoms occupying centres of each face of the cube. If during the crystallization of their alloy, in the unit cell two A atom are missed, the overall composition per unit cell is:a)AB6b)AB4c)AB8d)A6B24Correct 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 The unit cell of a binary alloy composed of A and B metals has a CCPstructure with A atoms occupying the corners and B atoms occupying centres of each face of the cube. If during the crystallization of their alloy, in the unit cell two A atom are missed, the overall composition per unit cell is:a)AB6b)AB4c)AB8d)A6B24Correct 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 The unit cell of a binary alloy composed of A and B metals has a CCPstructure with A atoms occupying the corners and B atoms occupying centres of each face of the cube. If during the crystallization of their alloy, in the unit cell two A atom are missed, the overall composition per unit cell is:a)AB6b)AB4c)AB8d)A6B24Correct answer is option 'B'. Can you explain this answer?.
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