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  4. A cubic solid is made up of two elements X and Y. Atoms of X are present on every alternate cormer and one at the eenter of cube. Y is at (1/3) td of the total faces. The empirical formula of the compound is

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Q. A cubic solid is made up of two elements $X$ and $Y$. Atoms of $X$ are present on every alternate cormer and one at the eenter of cube. $Y$ is at $\frac{1}{3} td$ of the total faces. The empirical formula of the compound is

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Solution:

$ X_{4 x_8^1+1 \times 1}^1 Y_{6 \times \frac{1}{3} \times \frac{1}{2}}$
$ \Rightarrow X _{\frac{1}{2}+1} Y _1 $
$ \Rightarrow X _{\frac{2}{3}} Y _1 $
$ \Rightarrow X _{1.5} Y _1$
$ \Rightarrow X _3 Y _2 $