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_(2)X`
D
`M_(5)X_(14)`
Text Solution
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The correct Answer is:
b
`:'8X` atoms present at the corners `:. `Atoms contribute to 1 unit cell `=(1)/(8)xx8=1` `:' 6X` atoms present at the face centres `:.` Atoms contribute to 1 unit cell `=6xx(1)/(2)=3` `:. `Total `X` atoms `=3+1=4` `:' 4M` atoms present at edge centres `:.` Atoms present in 1 unit cell `=4xx(1)/(4)=1` `:' 1M` atom present at body centre and it contribute completely to 1 unit cell. `:. `Total `M` atom in one unit cell `=1+1=2` Thus, empirical formula of compound`=M_(2)X_(4)=MX_(2)`
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