Question

What is the formula of a compound in which the element Y forms ccp lattice and atoms of X occupy 1/3 rd of tetrahedral voids?

Answer 1

Y=1/8*8=1

X=1/3*1=1/3

formula of the compound is XY3

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?

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

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

• Formula of the Compound = ?

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

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

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

✏ 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 = $\frac{2n}{3}$

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

✏ Ratio of X:Y = $\frac{2n}{3}$ : n = 2:3

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

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