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In a compound, nitrogen atoms (N) make cubic close packed lattice and metal atoms (M) occupy one-third of the tetrahedral voids present. Determine the formula of the compound formed by M and N?

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प्रश्न

In a compound, nitrogen atoms (N) make cubic close packed lattice and metal atoms (M) occupy one-third of the tetrahedral voids present. Determine the formula of the compound formed by M and N?

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उत्तर

In ccp, no. of atoms per unit cell = 4

Thus, of tetrahedral voids = 2 × No. of atoms in ccp = 2 × 4 = 8

Only one-third of tetrahedral voids are occupied by metal M. 

No. of metal atoms, M = `1/3 xx 8`

M:N = `8/3`: 4 = 2:3

Thus, formula is M2N3.

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अध्याय 1: Solid States - Exercises [पृष्ठ ११]

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एनसीईआरटी एक्झांप्लर Chemistry Exemplar [English] Class 12
अध्याय 1 Solid States
Exercises | Q III. 62. | पृष्ठ ११

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