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Oxygen atoms form FCC lattice with 'A' atoms occupying all tetrahedral voids and 'B' atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?
- a)A4B4O7
- b)A8B6O7
- c)A8B8O7
- d)A6B8O6
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral v...
Formula of Compound Formed by Removing Atoms from Body Diagonals
Given:
- Oxygen atoms form FCC lattice
- A atoms occupy all tetrahedral voids
- B atoms occupy all octahedral voids
- Atoms are removed from two of the body diagonals
To find: Formula of resultant compound formed
Solution:
1. Determine the number of atoms in the unit cell
- FCC lattice has 4 atoms per unit cell
- Each tetrahedral void is shared by 2 unit cells, so there are 2 A atoms per unit cell
- Each octahedral void is shared by 4 unit cells, so there are 4 B atoms per unit cell
- Total number of atoms per unit cell = 4 + 2 + 4 = 10
2. Determine the number of atoms removed
- Two body diagonals intersect at the center of the unit cell
- Each diagonal passes through one atom of each type (A and B)
- Therefore, removing atoms from two body diagonals will remove 2 A atoms and 2 B atoms
3. Determine the formula of the compound formed
- The remaining atoms in the unit cell after removal will be 8 A atoms and 6 B atoms
- The formula of the compound can be written as A8B6Ox, where x is the number of oxygen atoms per unit cell
- To determine x, we can use the fact that the total number of atoms in the unit cell must remain 10
- Therefore, x = 10 - 8 - 6 = -4, which is not possible
- However, we know that oxygen atoms always form a stable oxide ion with a charge of -2
- Therefore, we can assume that the formula of the compound is A8B6O7, which gives a total charge of -2 (-16 from oxygen and +16 from A and B)
- This formula satisfies the requirement that there are 10 atoms per unit cell (8 A, 6 B, and 7 O)
Answer: The formula of the resultant compound formed when atoms are removed from two of the body diagonals is A8B6O7.
Given:
- Oxygen atoms form FCC lattice
- A atoms occupy all tetrahedral voids
- B atoms occupy all octahedral voids
- Atoms are removed from two of the body diagonals
To find: Formula of resultant compound formed
Solution:
1. Determine the number of atoms in the unit cell
- FCC lattice has 4 atoms per unit cell
- Each tetrahedral void is shared by 2 unit cells, so there are 2 A atoms per unit cell
- Each octahedral void is shared by 4 unit cells, so there are 4 B atoms per unit cell
- Total number of atoms per unit cell = 4 + 2 + 4 = 10
2. Determine the number of atoms removed
- Two body diagonals intersect at the center of the unit cell
- Each diagonal passes through one atom of each type (A and B)
- Therefore, removing atoms from two body diagonals will remove 2 A atoms and 2 B atoms
3. Determine the formula of the compound formed
- The remaining atoms in the unit cell after removal will be 8 A atoms and 6 B atoms
- The formula of the compound can be written as A8B6Ox, where x is the number of oxygen atoms per unit cell
- To determine x, we can use the fact that the total number of atoms in the unit cell must remain 10
- Therefore, x = 10 - 8 - 6 = -4, which is not possible
- However, we know that oxygen atoms always form a stable oxide ion with a charge of -2
- Therefore, we can assume that the formula of the compound is A8B6O7, which gives a total charge of -2 (-16 from oxygen and +16 from A and B)
- This formula satisfies the requirement that there are 10 atoms per unit cell (8 A, 6 B, and 7 O)
Answer: The formula of the resultant compound formed when atoms are removed from two of the body diagonals is A8B6O7.
Community Answer
Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral v...
This problem is based on determination of molecular formula of solid which can be determined by using following steps.
Since O -atoms form FCC lattice, the number of
O -atoms per unit cell =
Number of B atoms at octahedral voids = Number of O -atoms = 4
Number of A atoms at tetrahedral voids
= 2 x Number of O-atoms
= 2 x 4 = 8
Initial formula of compound is A8 B4 O4
After removal atoms from the two body diagonals:
A atoms = 8 - 4 = 4 (Removed from 2 body diagonals)
B atoms = 4 - 1 = 3 (Removed from body centre)
Since O -atoms form FCC lattice, the number of
O -atoms per unit cell =
Number of B atoms at octahedral voids = Number of O -atoms = 4
Number of A atoms at tetrahedral voids
= 2 x Number of O-atoms
= 2 x 4 = 8
Initial formula of compound is A8 B4 O4
After removal atoms from the two body diagonals:
A atoms = 8 - 4 = 4 (Removed from 2 body diagonals)
B atoms = 4 - 1 = 3 (Removed from body centre)
O atom = 
(Removed 4 corners)
So, formula will be A4 B3 O3.5 i.e. A8 B6 O7
(Removed 4 corners)So, formula will be A4 B3 O3.5 i.e. A8 B6 O7
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Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. Can you explain this answer?
Question Description
Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. 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 Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. Can you explain this answer?.
Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. 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 Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. Can you explain this answer?.
Solutions for Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Oxygen atoms form FCC lattice with A atoms occupying all tetrahedral voids and B atoms occupying all octahedral voids. Determine the formula of resultant compound formed when atoms are removed from two of the body diagonals?a)A4B4O7b)A8B6O7c)A8B8O7d)A6B8O6Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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