Home
Class 12
CHEMISTRY
In a face centered cubic arrangement of ...

In a face centered cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centers. One of the B atoms missing from one of the face in unit cell. The simplest formula of compound is:

A

`A_(7)B_(3)`

B

`A_(2)B_(5)`

C

`A_(7)B_(24)`

D

`A_(8)B_(21)`

Text Solution

Verified by Experts

The correct Answer is:
C
Number of A atoms at the corners
`=1//8xx7=7//8`
Number of B atoms at the face - centres
`=1//2xx6=3`
`A:B=7//8:3=7:24`
Molecule formula `=A_(7)B_(24)`
Promotional Banner

Similar Questions

Explore conceptually related problems

In the fcc arrangement of A and B atoms whose A atoms are at corners of the unit cell and B are at the face centres one of the A atom is missing from one corner in each unit cell. What is the simplest formula of the compound?

A unit cell consists of a cube in which there are A atoms at the corners and B atoms at the face centres. Two A atoms are missing from the two corners of the unit cell. What is the formula of the compound ?

A unit cell consists of a cube in which there are A atoms at the corners and B atoms at the face centres. Two A atoms are missing from the two comers of the unit cell. What is the formula of the compound?

In a face centred cubic cell, an atom at the face centre is shared by:

A compound of element A and B crystallises in the form of face-centered cubic lattice. The unit cell of the lattice contains A atom at each of its corner and a B atom at the centre of its each face. If a B atom from one of the faces is found missing, then what would be the formula of the compound?

In a face-centred cubic lattice, atom A occupies the corner and atom B occupies the face-centred positions. If one atom of B is missing from one of the face-centred points, the formula of the compound is-

A solid has a structure in which W atoms are located at the corners of a cubic lattice, O atom at the centre of edges, and Na atom at the centre of the cube. The formula for the compound is

A substance A_(x)B_(y) crystallises in a face centred cubic (fcc) lattice in which atoms 'A' occupy each corner of the cube and atoms 'B' occupy face centered position of the cube. If five of the B atoms are missing from five face center, identify the correct formula of the compound.

A substance consisting of elements A and B crystallises in a cubical lattice structure with a unit cell having B atoms at the centre of its face and A atoms at its corners. Determine the simplest formula of the compound.

In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centred positions. If two atom of B is missin from two of the face centred points,, the formula of the compound is :