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

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Suppose the atoms N in the ccp = n 

∴ No. of tetrahedral voids = 2n 

As 1/3 rd of the tetrahedral voids are occupied by atoms M, therefore, 

No. of atoms M = \(\frac{2n}{3}\)

∴ Ratio of M : N = \(\frac{2n}{3}\): n = 2 : 3 

Hence, the formula is M2 N3

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