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A solid compound is formed containing x ...

A solid compound is formed containing x , y and z atoms in a cubic lattice with x atoms at corners. Y atoms at body centre and z atoms at face centres. What is empirical formula of compound ?

A

`XY_(2)Z_(3)`

B

`XYZ_(3)`

C

`X_(2)Y_(2)Z_(3)`

D

`X_(8)YZ_(6)`

Text Solution

Verified by Experts

The correct Answer is:
B

At corner `= (1)/(8) xx` (for per atom) `= (X)/(8) xx8`
At body center `= 1 xx` (for per atoms) = Y
At face center `= (1)/(2) xx` (for per atom) `= (Z)/(2) xx 6`
Simple ration of all there `XYZ_(3)`
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