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An alloy of copper, silver and gold is found to have copper constituting the face-centred cubic (FCCSolid State Chemistry Question

Question

An alloy of copper, silver and gold is found to have copper constituting the face-centred cubic (FCC) lattice. If silver atoms occupy the edge centres and gold is present at body centre, the alloy has a formula

Answer: C

💡 Solution & Explanation

Cu at FCC lattice points contributes $8 \times (1/8) + 6 \times (1/2) = 4$ atoms. Ag at edge centres contributes $12 \times (1/4) = 3$ atoms. Au at body centre contributes $1 \times 1 = 1$ atom. The formula is $Cu_4Ag_3Au$. Therefore, correct answer is C.

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