Question

A solid compound contains $X,Y$ and $Z$ atoms in a cube lattice with $X$ atoms occupying the corners, $Y$ atoms in the body centred position and $Z$ atoms at the centre of the first of the unit cell. What is the empirical formula of the compound?

• A. $X{Y}_2{Z}_3$
• B. $XY{Z}_3$
• C. $X_2{Y}_2{Z}_3$
• D. $X_{8}Y{Z}_6$
• E. $XYZ$

Answer 1

The correct option is B $XY{Z}_3$

Number of atoms of $X$ in a unit cell $=\frac{1}{8}\times 8=1$
Number of atoms of $Y$ in a unit cell $=1$
Number of atoms of $Z$ in a unit cell $=\frac{1}{2}\times 6=3$
Empirical formula of the compound $=XY{Z}_3$