A compound formed by elements X and Y crystallizes in a cubic structure in which the X atoms are at the comers of a cube and the Y atoms are at the face - centres. The formula of the compound is

Question

A compound formed by elements X and Y crystallizes in a cubic structure in which the X atoms are at the comers of a cube and the Y atoms are at the face - centres. The formula of the compound is (A)  XY3  (B)  X3Y  (C)  XY  (D)  XY 2

Tardigrade Admin · Accepted Answer

In unit cell, X-atoms at the comers =(1/8)× 8=1 Y-atoms at the face centres =(1/2)× 6=3 Ratio of X and Y=1:3 . Hence, formula is XY3 .

Q. A compound formed by elements $X$ and $Y$ crystallizes in a cubic structure in which the $X$ atoms are at the comers of a cube and the $Y$ atoms are at the face - centres. The formula of the compound is

$X Y_{3}$

$X_{3} Y$

$X Y$

$X Y_{2}$

In unit cell, X-atoms at the comers
$= \frac{1}{8} \times 8 = 1$
Y-atoms at the face centres
$= \frac{1}{2} \times 6 = 3$
Ratio of X and $Y = 1 : 3$ .
Hence, formula is $X Y_{3}$ .

Q. A compound formed by elements X and Y crystallizes in a cubic structure in which the X atoms are at the comers of a cube and the Y atoms are at the face - centres. The formula of the compound is

XY3​

X3​Y

XY

XY​2​