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Question

Chemistry Question on The solid state

A binary compound has Y-atoms forming FCC unit cell and another type of X-atoms occupying 1/3rd of tetrahedral voids. Find out the molecular formula of the compound.

A

XY

B

X2Y3

C

X3Y2

D

XY

Answer

X2Y3

Explanation

Solution

The correct answer is option (A) : XY

Y-atoms of a binary compound from FCC unit cell.

\therefore No. of Y-atoms per unit = 4

X-atoms of some compounds occupy 13rd\frac{1}{3}rd of tetrahedral voids.

No. of X-atoms per unit cell = 83\frac{8}{3}

\therefore the formula of the compound = X83_{\frac{8}{3}}Y4_4 as X2Y3