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In a face centred cubic arrangement of A & B atoms whose A atoms are at the corner of the unit cell & B atoms at the face centres. One of the A atom is missing from one corner in unit cell. The simplest formula of compound is-
  • a)
    A7B3 
  • b)
    AB3 
  • c)
    A7B24
  • d)
    A7/8 B3
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
In a face centred cubic arrangement of A & B atoms whose A atoms a...
Explanation:

Given:
- Face-centred cubic arrangement of A and B atoms
- A atoms at corner of unit cell
- B atoms at face centres
- One A atom missing from one corner

To find:
- Simplest formula of compound

Solution:

Step 1: Determine the number of A atoms in one unit cell

- A atoms are at the corner of the unit cell
- Each corner atom is shared between 8 unit cells
- Therefore, each corner atom contributes 1/8th of its atom to the unit cell
- There are 8 corner atoms in a unit cell
- Therefore, the total contribution of A atoms in one unit cell is 8 x 1/8 = 1 A atom

Step 2: Determine the number of B atoms in one unit cell

- B atoms are at the face centres
- Each face-centred atom is shared between 2 unit cells
- Therefore, each face-centred atom contributes 1/2 of its atom to the unit cell
- There are 6 face-centred atoms in a unit cell
- Therefore, the total contribution of B atoms in one unit cell is 6 x 1/2 = 3 B atoms

Step 3: Determine the simplest formula of the compound

- The ratio of A to B atoms in the compound is 1:3
- The formula of the compound is A1B3
- However, one A atom is missing from one corner in the unit cell
- Therefore, the formula of the compound becomes A7B24

Answer: The simplest formula of the compound is A7B24.
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Community Answer
In a face centred cubic arrangement of A & B atoms whose A atoms a...
Here it's clear answer(c) is correct because we know contribution of corners in a cube is 1/8 and there are 8 corners in a cube now for FCC the contribution of face is 1/2 and there are 6 cube , later one corner is removed then contribution of corner atom =1/8*7= 7/8 and face is = 1/2*6=3 then formula = A7/8 B 3 we know formula is in simple ratio so we multiply 8 in both A and B then formula= A7B24 answer thank you Aj
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In a face centred cubic arrangement of A & B atoms whose A atoms are at the corner of the unit cell & B atoms at the face centres. One of the A atom is missing from one corner in unit cell. The simplest formula of compound is-a)A7B3b)AB3c)A7B24d)A7/8B3Correct answer is option 'C'. Can you explain this answer?
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In a face centred cubic arrangement of A & B atoms whose A atoms are at the corner of the unit cell & B atoms at the face centres. One of the A atom is missing from one corner in unit cell. The simplest formula of compound is-a)A7B3b)AB3c)A7B24d)A7/8B3Correct answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about In a face centred cubic arrangement of A & B atoms whose A atoms are at the corner of the unit cell & B atoms at the face centres. One of the A atom is missing from one corner in unit cell. The simplest formula of compound is-a)A7B3b)AB3c)A7B24d)A7/8B3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a face centred cubic arrangement of A & B atoms whose A atoms are at the corner of the unit cell & B atoms at the face centres. One of the A atom is missing from one corner in unit cell. The simplest formula of compound is-a)A7B3b)AB3c)A7B24d)A7/8B3Correct answer is option 'C'. Can you explain this answer?.
Solutions for In a face centred cubic arrangement of A & B atoms whose A atoms are at the corner of the unit cell & B atoms at the face centres. One of the A atom is missing from one corner in unit cell. The simplest formula of compound is-a)A7B3b)AB3c)A7B24d)A7/8B3Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
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