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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 below. The empirical formula of the compound is

A

`MX`

B

`MX_2`

C

`M_2X`

D

`M_5X_14`

Text Solution

Verified by Experts

The correct Answer is:
B
X are present at all the corners and face centres
No. of X atoms = `8 xx 1/8 + 6 xx 1/2 = 4`
M are presetn at 4 edges and at body centre
No. of M atoms = `4 xx 1/4 + 1 xx 1 = 2`
The empirical formula of compound : `M_2X_4 " or " MX_2`.
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