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Question

A compound alloy of gold and copper crystallizes in a cubic lattice in which the gold atoms occupy the corners of a cube, and the copper atoms occupy the centers of each of the faces of the cube. The formula of this compound is:

A
AuCu
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B
AuCu2
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C
AuCu3
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D
Au3Cu
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Solution

The correct option is C AuCu3
Given, gold atoms (Au) occupies the corners of the cube and the copper atoms (Cu) occupies the face centers.
Thus, the number of Au atoms per unit cell =8×18=1 and the number of Cu atoms per unit cell=6×12=3. The formula of the compound is AuCu3.

Therefore, the correct answer is (C).

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