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A compound M(p)X(q) has cubic close pack...

A compound `M_(p)X_(q)` has cubic close packing (ccp) arrangement of X. its unit cell structure is shown in the following figure. The empirical formula of the compound is

A

MX

B

`MX_(2)`

C

`M_(2)X`

D

`M_(5)X_(14)`

Text Solution

Verified by Experts

The correct Answer is:
B
As X is present at the corners of the cube and also at the faces of the cube, so the contribution of X will be
8 (corners)`xx(1)/(8)` (contribution of each corner atom)+6(faces)`xx(1)/(2)` (contribution of each face)=4
As M is present at the body centre and at four edges, so its contribution will be
`4("edges")xx(1)/(4)` (contribution of each edge)+1(body centre)=2
So, the unit cell formula becomes `M_(2)X_(4)` and the empirical formula will be `MX_(2)`.
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