Question

a compound alloy of gold and copper crystallizes in a cubic lattice in which gold occupy lattice points at corners copper occupy the cnters of each of the cube faces. What is the formula of the compound

Answer 1

Answer:The formula of an alloy is $Cu_3Au$.

Explanation:

Gold atoms are occupying the corners of lattice point and copper atoms are in center of  each cubic faces.

Number of gold atoms is 1 cubic cell = $\frac{1}{8}\times 8=1$

Number of Copper atoms in 1 cubic cell = $\frac{1}{2}\times 6=3$

There are 1 gold atom and 3 copper atoms in 1 cubic cell. The formula of the compound is $Cu_3Au$

The formula of an alloy is $Cu_3Au$.

Answer 2

Au=8×1/8=1

Cu=6×1/2=3

AuCu3