Question

A compound is formed by elements A and B.this crystallizes in the cubic structure where A atoms are at the corners of the cube and B atoms are at the body centres.the simplest formula of the compound is.....

Answer 1

AB IS THE FOMULA OF REQUIRED COMPOUND

Answer 2

The simple formula of the compound is $AB_{3}$

Step-by-step-explanation:

Atom A is present at the corner of the crystal lattice.A crystal lattice has 8 corners.Thus atom A present in the crystal lattice is

         

Atom A ​=$\frac{1}{8} x8$

=1

Atom B is present on the face of the crystal lattice. A unit cell has 6 faces.Thus atom B in the crystal lattice is

               

Atom B ​= $\frac{1}{2} x6$

=3

Total atom A = 1Total atom B = 3Thus the formula of the compound is

The simple formula of the compound is $AB_{3}$.

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