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Question: Answered & Verified by Expert
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
ChemistrySolid StateTS EAMCETTS EAMCET 2021 (04 Aug Shift 1)
Options:
  • A A2B3
  • B A3B4
  • C A4B3
  • D A3B2
Solution:
2178 Upvotes Verified Answer
The correct answer is: A4B3

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.

 

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