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A compound is formed by elements A and B and has cubic structure. A-atoms are at the corners and B-atoms are at the face centres. Thus, it is
- a)AB
- b)AB2
- c)AB3
- d)A3B
Correct answer is option 'C'. Can you explain this answer?
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A compound is formed by elements A and B and has cubic structure. A-at...
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A compound is formed by elements A and B and has cubic structure. A-at...
Explanation:
The given compound has a cubic structure, which means it has a unit cell in the shape of a cube. A-atoms are present at the corners of the cube, and B-atoms are present at the face centres.
To determine the chemical formula of the compound, we need to know the ratio of A-atoms to B-atoms in the unit cell.
Let's consider the number of atoms present in one unit cell of the cubic structure.
Number of corners in a cube = 8
Number of atoms at each corner = 1/8 (as each atom is shared by 8 cubes)
Total number of A-atoms in a unit cell = 8 x 1/8 = 1
Number of faces in a cube = 6
Number of atoms at each face centre = 1/2 (as each atom is shared by 2 cubes)
Total number of B-atoms in a unit cell = 6 x 1/2 = 3
Therefore, the ratio of A-atoms to B-atoms in the unit cell is 1:3.
The chemical formula of the compound is determined by representing the elements using their symbols and writing the ratio of their atoms. Therefore, the chemical formula of the compound is AB3.
Hence, option (c) is the correct answer.
The given compound has a cubic structure, which means it has a unit cell in the shape of a cube. A-atoms are present at the corners of the cube, and B-atoms are present at the face centres.
To determine the chemical formula of the compound, we need to know the ratio of A-atoms to B-atoms in the unit cell.
Let's consider the number of atoms present in one unit cell of the cubic structure.
Number of corners in a cube = 8
Number of atoms at each corner = 1/8 (as each atom is shared by 8 cubes)
Total number of A-atoms in a unit cell = 8 x 1/8 = 1
Number of faces in a cube = 6
Number of atoms at each face centre = 1/2 (as each atom is shared by 2 cubes)
Total number of B-atoms in a unit cell = 6 x 1/2 = 3
Therefore, the ratio of A-atoms to B-atoms in the unit cell is 1:3.
The chemical formula of the compound is determined by representing the elements using their symbols and writing the ratio of their atoms. Therefore, the chemical formula of the compound is AB3.
Hence, option (c) is the correct answer.
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A compound is formed by elements A and B and has cubic structure. A-at...
A atoms are at the corners of cubic structure i.e (primitive unit cell ) 1/8 ×1=1 and B are at he the face centers 1/6 ×2=3 Thus the chemical formula is formed by elements A and B and has cubic structure is AB3 .
option c.
option c.
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