Home
Class 12
CHEMISTRY
An ionic compound has a unit cell consis...

An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centers of the faces of the cube .The empirical formula for this compound would be

A

`AB_(2)`

B

`A_(3)B`

C

AB

D

`A_(2)B`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the empirical formula of the ionic compound described, we need to analyze the contributions of the A and B ions in the unit cell. ### Step-by-Step Solution: 1. **Identify the Position of Ions**: - A ions are located at the corners of the cube. - B ions are located at the centers of the faces of the cube. 2. **Calculate the Contribution of A Ions**: - There are 8 corners in a cube. - Each corner contributes \( \frac{1}{8} \) of an A ion to the unit cell. - Therefore, the total contribution from A ions is: \[ \text{Total A} = 8 \times \frac{1}{8} = 1 \text{ A ion} \] 3. **Calculate the Contribution of B Ions**: - There are 6 faces in a cube. - Each face contributes \( \frac{1}{2} \) of a B ion to the unit cell. - Therefore, the total contribution from B ions is: \[ \text{Total B} = 6 \times \frac{1}{2} = 3 \text{ B ions} \] 4. **Write the Empirical Formula**: - From the contributions calculated: - 1 A ion and 3 B ions. - The empirical formula can be written as: \[ \text{Empirical Formula} = A B_3 \] ### Final Answer: The empirical formula for the compound is \( AB_3 \). ---
Promotional Banner

Similar Questions

Explore conceptually related problems

A compound of A and B crystallizes in a cubic lattice in which A atoms occupy the lattice points at the corners of a cube and two atoms of B occupy the center of each of the cube faces. What is the formula of this compound?

If three elements P, Q and R crystallise in a cubic unit cell with P atoms at the corners, Q atoms at the cubic centre and R atoms at the centre of each face of the cube, then write the formula of the compound.

If three elements P, Q and R crystallise in a cubic unit cell with P atoms at the corners, Q atoms at the cubic centre and R atoms at the centre of each face of the cube, then write the formula of the compound.

In a cubic type unit cell, atoms of A are at centre and corners of the cube. Atoms of B are at one half faces of the cube. What is the simplest formula of the compound?

In a cubic structure of compound which is made from X and Y, where X atoms are at the corners of the cube and Y at the face centres of the cube. The molecular formula of the compound is

A compound representing alloy of gold and copper crystallises in a cubic lattice in which gold atoms occupy the lattice points at the corners of a cube and copper atoms occupy the centres of each of the cubic faces. Find formula of compound.

In the unit cell of the crystal formed by the ionic compound of X and Y, the corners are occupied by X and the centers of the faces by Y. The empirical forumal of the compound is

In a cubic unit cell, seven of the eight corners are occupied by atoms A and centres of faces are occupied by atoms B. The general formula of the compound is:

A unit cell consists of a cube in which there are anions Y at each corner and cations X at the centres of alternate faces of unit cell. What is the simplest formula of the compound?