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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
8 X atoms present at the cornes.
Atoms contribute to 1 unit cell =`1/8xx8`=1
6 X atoms present at the face centres.
Atoms contribute to 1 unit cell = `6xx1/2`=3
Total X atoms = 3+1 =4
4 M atoms present at edge centres.
Atoms present in 1 unit cell `=4xx1/4=1`
1 M atom present at body centre and it contribute completely to 1 unit cell .
Thus, total M atoms in one unit cell = 1+1=2
Ratio is M :X : : 2 : 4 : : 1:2
Thus, empirical formula is `MX_2`
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Knowledge Check

  • A compound M_(p)X_(q) has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown on the side. The empirical formula of the compound is

    A
    MX
    B
    `MX_(2)`
    C
    `M_(2)X`
    D
    `M_(5)X_(14)`

  • A compound M_p X_q has cubic close packing (ccp) arrangement of X. Its unit cell structure . The empirical formula of the compound is

    A
    MX
    B
    `MX_2`
    C
    `M_2X`
    D
    `M_5X_14`

  • Given : The unit cell structure o fcompound is show below . The formula of compound is :

    A
    `A_(8)B_(12)C_(15)`
    B
    `AB_(2)C_(3)`
    C
    `A_(2)B_(2)C_(5)`
    D
    `ABC_(5)`

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