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Question: Answered & Verified by Expert
A cubic solid is made up of two elements X and Y. Atoms of X are present on every alternate corner and one at the center of cube. Y is at 13rd of the total faces. The empirical formula of the compound is
ChemistrySolid StateJEE MainJEE Main 2023 (25 Jan Shift 1)
Options:
  • A X2Y1.5
  • B X1.5Y
  • C XY2.5
  • D X1.5Y2
Solution:
2419 Upvotes Verified Answer
The correct answer is: X1.5Y

The share of the atom present at corner of the cube is 1/8. The share of the atom at face centre is 1/2. Hence, the molecule can be represented as follows,

X4×18+1×1Y6×13×12

X12+1  Y1

X23  Y1

X1.5  Y1(Empirical formula)

X3  Y2.

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