A compound is formed by two elements $$Y$$ and $$Z.$$ The element $$Z$$ forms $$ccp$$ and atoms $$Y$$ occupy $$\frac{1}{3}rd$$ of tetrahedral voids. The formula of the compound is
A.
$${Y_2}{Z_3}$$
B.
$$YZ$$
C.
$$Y{Z_3}$$
D.
$${Y_2}Z$$
Answer :
$${Y_2}{Z_3}$$
Solution :
Suppose no. of atoms of $$Z = a$$
No. of tetrahedral voids $$ = 2a$$
No. of atoms of $$Y = \frac{1}{3} \times 2a = \frac{{2a}}{3}$$
Ratio of atoms of $$Y$$ and $$Z = \frac{{2a}}{3}:a = 2:3$$
Hence, the formula of the compound $$ = {Y_2}{Z_3}$$
Releted MCQ Question on Physical Chemistry >> Solid State
Releted Question 1
$$CsBr$$ has $$bcc$$ structure with edge length 4.3. The shortest inter ionic distance in between $$C{s^ + }$$ and $$B{r^ - }$$ is :
In a solid $$‘AB’$$ having the $$NaCl$$ structure, $$'A’$$ atoms occupy the corners of the cubic unit cell. If all the face-centered atoms along one of the axes are removed, then the resultant stoichiometry of the solid is
A substance $${A_x}{B_y}$$ crystallizes in a face centred cubic $$(FCC)$$ lattice in which atoms $$'A'$$ occupy each corner of the cube and atoms $$'B'$$ occupy the centres of each face of the cube. Identify the correct composition of the substance $${A_x}{B_y}$$