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A compound alloy of gold and copper crystallizes in a cubic lattice in which the gold atoms occupy the lattice points at the corners of a cube and the copper atoms occupy the centres of each of the cube faces. What is the empirical formula of this compound? 

Option: 1

Au_2Cu_3


Option: 2

Au_3Cu


Option: 3

AuCu

 


Option: 4

AuCu_3


Answers (1)

best_answer

Gold(Au) atoms are at the corners of the cube, thus the number of Au atoms  =8\times\frac{1}{8}=1  atom

Again, copper(Cu) atoms are at the face-centers of 6 faces. Therefore, the number of Cu atoms  =6\times\frac{1}{2}=3 atoms. 
 
Thus, in this case, the empirical and molecular formulae both are same. 
 
Therefore, ?Option(4) is correct 

Posted by

Divya Prakash Singh

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