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Question: A crystal is formed by two elements X and Y in cubic structure. X atoms are at the corners of a cube...

A crystal is formed by two elements X and Y in cubic structure. X atoms are at the corners of a cube while Y atoms are at the face centre. The formula of the compound will be

A

XY

B

XY2XY_{2}

C

X2Y3X_{2}Y_{3}

D

XY3XY_{3}

Explanation

Solution

(d) No. of X atom (at the corners) =18×8=1= \frac{1}{8} \times 8 = 1

NO. of Y atoms (fcc)

=6×12=3= 6 \times \frac{1}{2} = 3

Hence, the formula is XY3.XY_{3}.