Q.

A compound MpXq has cubic close packing (ccp) arrangement of X. Its unit cell structure shown below. The empirical formula of the compound is:

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By Expert Faculty of Sri Chaitanya

MX2

M2X

M5X14

answer is 2.

(Detailed Solution Below)

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Detailed Solution

8 X atoms present at the corners. Atoms contribute to 1 unit cell =18×8=16X atoms present at the face centres. Atoms contribute to 1 unit cell =6×12=3Total X atoms =3 + 1=44 M atoms present at edge centres. Atoms present in 1 unit cell =4×14=11M atom present at body centre and it contribute completely to 1 unit cellThus, total M atoms in one unit cell = 1+1=2 Ratio is M:X::2:4::1:2 Thus, empirical formula is MX2.

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