Question

A compound $M_p{X}_q$ has cubic-close packing (c.c.p.) arrangement of $X$. Its unit-cell structure is shown below. The empirical formula of the compound is:

• A. $MX$
• B. $M{X}_2$
• C. $M_{2}X$
• D. $M_5{X}_{14}$

Answer 1

The correct option is B $M{X}_2$

Number of atoms of $M=1+4\times \frac{1}{4}=2$

Number of atoms of $X=\frac{1}{8}\times 8+6\times \frac{1}{2}=4$

Therefore, the empirical formula is $M{X}_2$.

Hence, the correct option is $B$.