Question

what is the formula of a compound in the element Y forms CCP lattice and atoms of X occupy one by third of tetrahedral void

Answer 1

let the no. of particle be n ..then in ccp it occupy n/1 and in tetrahedral the void ocuupy is double of particle then 2n ..and it give one third of 2n ..then
$2n \div 3 \div n \div 1 = 2 \div 3$
ie X3Y2 is formula

Answer 2

$\huge\rm\underline\purple{Question :-}$

What is the formula of a compound in which the element y forms ccp lattice and atoms of x occupy 1/3 of tetrahedral void?

$\huge\rm\underline\orange{Answer :-}$

$\red{\underline\bold{To\:find:}}$

• Formula of the Compound = ?

$\green{\underline\bold{Given,}}$

• Element Y forms ccp lattice.
• Atoms of X occupy $\frac{1}{3}$rd of tetrahedral voids.

$\blue{\underline\bold{Now,}}$

✏ Suppose the atoms Y in the ccp = n

✏ ∴ Number of tetrahedral voids = 2n

✏ As $\frac{1}{3}$rd of tetrahedral voids are occupied by the atoms X, therefore :

✏ No. of atoms, X = $\frac{2n}{3}$

$\pink{\underline\bold{Again,}}$

✏ Ratio of X:Y = $\frac{2n}{3}$ : n

✏ = 2:3

$\pink{\underline\bold{ Hence, \:The\:required\:formula\:is\:X2Y3 .\: }}$

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