Embibe Experts Solutions for Chapter: Solid State, Exercise 3: Exercise-3

In a solid $\mathrm{AB}$ having the $\mathrm{NaCl}$ structure, $\mathrm{A}$ atoms occupies 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 ${\mathrm{A}}_{\mathrm{x}}{\mathrm{B}}_{\mathrm{y}}$ crystallizes in a face-centred cubic $\left(\mathrm{FCC}\right)$ lattice in which atoms $\text{'}\mathrm{A}\text{'}$ occupy each corner of the cube and atoms $\text{'}\mathrm{B}\text{'}$ occupy the centres of each face of the cube. Identify the correct composition of the substance ${\mathrm{A}}_{\mathrm{x}}{\mathrm{B}}_{\mathrm{y}}$.

Experimentally it was found that a metal oxide has formula ${\mathrm{M}}_{0.98}\mathrm{O}$. Metal $\mathrm{M}$, is present as ${\mathrm{M}}^{2+}$ and ${\mathrm{M}}^{3+}$ in its oxide. Fraction of the metal which exists as ${\mathrm{M}}^{3+}$ would be :-
 

All of the following share the same crystal structure, except?

At $100°\mathrm{C}$, copper $\left(\mathrm{Cu}\right)$ has $\mathrm{FCC}$ unit cell structure with a cell edge length of $\mathrm{x}\stackrel{°}{\mathrm{A}}$. What is the approximate density of $\mathrm{Cu}$ (in ${\mathrm{gcm}}^{-3}$) at this temperature? [Atomic mass of $\mathrm{Cu}=63.55\mathrm{u}$]

A compound of formula ${\mathrm{A}}_2{\mathrm{B}}_3$ has the $\text{hcp}$ lattice. Which atom forms the $\mathrm{hcp}$ lattice and what fraction of tetrahedral voids are occupied by the other atoms

A solid having density of $9\times {10}^3\mathrm{kg} {\mathrm{m}}^{-3}$ forms face centred cubic crystals of edge length $200\sqrt{2}\mathrm{pm}$. What is the molar mass of the solid? Avogadro's constant ${\text{≅6×10}}^{23}{\mathrm{mol}}^{-1},\mathrm{\pi }\cong 3.14$

The radius of the largest sphere which fits properly at the centre of the edge of a body-centred cubic unit cell is:(Edge length is represented by $\text{'}\mathrm{a}\text{'}$)