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A compound is formed by two elements M and N. The element N forms CCP and atoms of M occupy 1/3rd of tetrahedral voids. What is the formula of the compound? 

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Given: M occupy 1/3rd of tetrahedral voids 

To find : Formula of the compound = ? 

Calculation: 

The CCP lattice is formed by the atoms of the element N. Here, the number of tetrahedral voids generated is equal to twice the number of atoms of the element N.

The atoms of element M occupy 1/3rd of the tetrahedral voids.

Therefore, the number of atoms of M = 2 x 1/3 = 2/3  of the number of atoms of N.

Therefore, ratio of the number of atoms of M to that of N is M: N = 2/3:1 = 2:3

Thus, the formula of the compound is M2N3

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