A compound is formed by the element $X$ and $Y$ crystallizes in the cubic structure where $Y$ atoms are at the corners of the cube and $X$ atoms are at each centre of one set of opposite faces. What is the formula of the compound?

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Solution

Effective number of $X \Rightarrow Z_{X} = 8 \times \frac{1}{8} = 1$
Effective number of $Y \Rightarrow Z_{Y} = 12 \times \frac{1}{4} = 3$
Therefore, formula is $X Y_{3}$

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A compound is formed by the element X and Y crystallizes in the cubic structure where Y atoms are at the corners of the cube and X atoms are at each centre of one set of opposite faces. What is the formula of the compound?

Effective number of X⇒ZX=8×18=1Effective number of Y⇒ZY=12×14=3Therefore, formula is XY3

A compound is formed by the element $X$ and $Y$ crystallizes in the cubic structure where $Y$ atoms are at the corners of the cube and $X$ atoms are at each centre of one set of opposite faces. What is the formula of the compound?

Effective number of $X \Rightarrow Z_{X} = 8 \times \frac{1}{8} = 1$
Effective number of $Y \Rightarrow Z_{Y} = 12 \times \frac{1}{4} = 3$
Therefore, formula is $X Y_{3}$