Home
Class 12
CHEMISTRY
In a crystalline solid , anion B^- are a...

In a crystalline solid , anion `B^-` are arranged in a cubic close packing. Cations `A^+` are equally distributed between octahedral and tetrahedral voids. If all the octahedral voids are occupied, what is the formula of the solids?

Text Solution

Verified by Experts

The correct Answer is:
`A_(2)B`
Let the number of anions B = n
The number of octahedral voids = n
The number of tetrahedral voids = 2n
Since both the octahedral and tetrahedral voids are equally occupied, by cations A and also the octahedral voids are occupied (given), this means that n cations A present in octahedral voids and n cations A present in tetrahedral voids.
In other words, corresponding to n anions B, there are n + n = 2n cations.
The cations A and anions B are in the ratio = 2n : n = 2 : 1
Formula of solid = `A_(2)B`.
Promotional Banner

Similar Questions

Explore conceptually related problems

How will you distinguish between Tetrahedral and Octahedral voids ?

Distinguish between the following pairs of terms Tetrahedral void and octahedral void

In a crystalline solid, having formula AB_(2)O_(4) oxide ions are arranged in cubic close packed lattice while cations A are present in tetrahedral voids and cations B are present in octahedral voids. (a) What percentage of the tetrahedral voids is occupied by A? (b) What percentage of the octahedral voids is occupied by B ?

In a crystalline solid having formula AB_(2)O_(4) , oxide ions are arranged in a cubic close-packed lattice while cations A and B are present in tetrahedral and octahedral voids respectively. What percentages of tetrahedral and octahedral voids are occupied by A and B ions respectively?

A solid between A and B has the following arrangement of atoms : (i) Atoms A are arranged in c.c.p. array. (ii) Atoms B occupy all the octahedral voids and half the tetrahedral voids. What is the formula of the compound ?

In The mineral, spinel having the formula MgAl_2O_4 , oxide ions are arranged in the cubic close packing, Mg^(2+) ions occupy the tetrahedral voids while Al^(3+) ions occupy the octahedral voids. What percentage of octahedral voids Is occupied by Al^(3+) ions?

In The mineral, spinel having the formula MgAl_2O_4 , oxide ions are arranged in the cubic close packing, Mg^(2+) ions occupy the tetrahedral voids while Al^(3+) ions occupy the octahedral voids. What percentage of tetrahedral voids is occupied by Mg(2+) ions?

In a solid, atom M occupies ccp lattice and 1/3rd of tetrahedral voids are occupied by atom N. Find the formula of solid formed by M and N-

In sapphire, oxide ions are arranged in hexagonal close packing and aluminium ions occupy two-thirds of the octahedral voids. What is the formula of sapphire?

A compund is made of two elements P and Q are in ccp arrangement while atoms P occupy all the octahedral voids. What is the formula of the compound?