TS EAMCET · Chemistry · Solid State

A compound made up of elements $A$ and $B$ (with a general formula $A_{x} B_{y}$ ), where $B$ form a hcp lattice and A occupy $2 / 3^{rd}$ of the tetrahedral voids. The formula of the compound is

A $A_{2} B_{3}$
B $A_{3} B_{4}$
C $A_{4} B_{3}$
D $A_{3} B_{2}$

Verified Solution

Answer & Solution

Correct Answer

(C) $A_{4} B_{3}$

Step-by-step Solution

Detailed explanation

In the ccp lattice, the number of octahedral voids are four and the number of tetrahedral voids are eight. The number of atoms of B= 4 The number of atoms of A =23×8=163 So, A:B=163:4A:B=16:12A:B=4:3 Hence, the molecular formula of the compound is A4B3.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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A compound made up of elements A and B (with a general formula AxBy), where B form a hcp lattice and A occupy2/3rd of the tetrahedral voids. The formula of the compound is

Step-by-step Solution

A compound made up of elements $A$ and $B$ (with a general formula $A_{x} B_{y}$ ), where $B$ form a hcp lattice and A occupy $2 / 3^{rd}$ of the tetrahedral voids. The formula of the compound is