M K Verma Solutions for Chapter: Solid State, Exercise 1: TOPICWISE QUESTIONS

$\mathrm{TlAl}{\left({\mathrm{SO}}_4\right)}_2·{\mathrm{xH}}_2\mathrm{O}$ is BCC with $\text{'}\mathrm{a}\text{'}=1.22 \mathrm{nm}.$ If the density of the solid is $2.32 \mathrm{g} {\mathrm{cc}}^{-1}$, then the value of $\mathrm{x}$ is:

$\left(\text{Given}: {\mathrm{N}}_{\mathrm{A}}=6\times {10}^{23}; \text{atomic weights}:\mathrm{Tl}=204, \mathrm{Al}=27, \mathrm{S}=32.\right)$

The number of atoms in $100 \mathrm{g}$ of FCC crystal of an element with density$=10.0 \mathrm{g} {\mathrm{cc}}^{-1}$  and edge length as $100 \mathrm{pm}$, is-

Sodium ($\mathrm{Na} =23$) crystallizes in BCC arrangement with the interfacial separation between the atoms at the edge as, $53.6 \mathrm{pm}$. The density of sodium crystal is

The density of solid argon $(\mathrm{Ar}=40 \mathrm{g} {\mathrm{mol}}^{-1})$ is $1.68 \mathrm{g} {\mathrm{mL}}^{-1}$ at $40 \mathrm{K}$. If the argon atom is assumed to be a sphere of radius $1.50\times {10}^{-8} \mathrm{cm}$, what $\%$ of solid $\mathrm{Ar}$ is apparently empty space?

$(\mathrm{Use}:\left.{\mathrm{N}}_{\mathrm{A}}=6\times {10}^{23}\right)$

A body-centred cubic lattice is made up of hollow spheres of $\mathrm{B}$. Spheres of solid $\mathrm{A}$ are present in hollow spheres of $\mathrm{B}$. The radius of $\mathrm{A}$ is half the radius of $\mathrm{B}$. What is the ratio of the total volume of spheres of $\mathrm{B}$ unoccupied by $\mathrm{A}$ in a unit cell and volume of the unit cell?

A crystal is made of particles $\mathrm{X}, \mathrm{Y} \mathrm{and} \mathrm{Z}$. $\mathrm{X}$ forms FCC packing $\mathrm{Y}$ occupies all the octahedral voids of $\mathrm{X}$ and $\mathrm{Z}$ occupies all the tetrahedral voids of $\mathrm{X}$. If all the particles along one body diagonal are removed then the formula of the crystal would be-

The composition of a sample of Wustite is ${\mathrm{Fe}}_{0.93}\mathrm{O}$ . What is the percentage of iron present as ${\mathrm{Fe}}^{3+}$ in total iron?

A certain sample of cuprous sulphide is found to have composition ${\mathrm{Cu}}_{1.8}\mathrm{S},$ because of incorporation of ${\mathrm{Cu}}^{2+}$ ions in the lattice. What is the mole $\%$ of ${\mathrm{Cu}}^{2+}$ in total copper content in this crystal?