Q1 / 90 · JEE Main 2023 (25 Jan Shift 1) · Chemistry

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

  • A
    X2Y1.5
  • Correct answer
    B
    X1.5Y
  • C
    XY2.5
  • D
    X1.5Y2

Solution

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.

Hence, the correct answer is option: 'B'.

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