TS EAMCET · Chemistry · Solid State
An alloy made up of \(A\) and \(B\) metals crystallises in a cubic lattice, where \(B\) atoms occupy the corners and \(A\) atoms occupy the face centers. The formula of the alloy formed is
- A \(A B_3\)
- B \(A_3 B\)
- C \(A_2 B_3\)
- D \(A_3 B_2\)
Answer & Solution
Correct Answer
(B) \(A_3 B\)
Step-by-step Solution
Detailed explanation
In cubic lattice, \(B\) atoms occupy corners \(A\) atoms occupy face centres Contribution of each atom \((B)\) present at corner \(=1 / 8\) \(\Rightarrow \quad 8 \times \frac{1}{8}=1\) Contribution of each atom \((A)\) present at centre of face \(\frac{1}{2} \times 6=3\)
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