A compound formed by element X and Y crystallises in a cube and the X atoms are at the corners of a cube and the Y atoms are at the face centres. The formula of the compound is:

Correct answer: A. XY_3 In a unit cell, X atoms at the corners = (1)/(8) × 8=1 Y atoms at the face centres =(1)/(2) × 6=3 Ratio of X and Y=1: 3 . Hence formula is XY_3 .

NEET 2004

Exam: NEET
Year: 2004
Subject: Chemistry
Chapter: Solid State

NEET 2004 · Chemistry · Solid State

A compound formed by element X and Y crystallises in a cube and the...

A compound formed by element

\mathrm{X}

and

\mathrm{Y}

crystallises in a cube and the

\mathrm{X}

atoms are at the corners of a cube and the

\mathrm{Y}

atoms are at the face centres. The formula of the compound is:

Options

A $\mathrm{XY}_3$
B $\mathrm{X}_3 \mathrm{Y}$
CXY
D $\mathrm{XY}_2$

Correct answer

A. $\mathrm{XY}_3$

Step-by-step solution

In a unit cell,

\mathrm{X}

atoms at the corners =

\frac{1}{8} \times

8=1

Y

atoms at the face centres

=\frac{1}{2} \times 6=3

Ratio of

\mathrm{X}

and

\mathrm{Y}=1: 3

. Hence formula is

\mathrm{XY}_3

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