Embibe Experts Solutions for Chapter: Solid State, Exercise 1: EXERCISE-1

Which one of the following schemes of ordering closed packed sheets of equal sized spheres do not generate close packed lattice.

Give the correct order of initials $\mathrm{T}$ (true) or $\mathrm{F}$ (False) for following statements :

I. In an anti-fluorite structure anions form $\mathrm{FCC}$ lattice and cations occupy all tetrahedral voids.

II. If the radius of cations and anions are $0.2\stackrel{°}{\mathrm{A}}$ and $0.95 \stackrel{°}{\mathrm{A}}$ then coordinate number of cation in the crystal is $4 .$

III. An atom/ion is transferred from a lattice site to an interstitial position in Frenkel defect.

IV. Density of crystal always increases due to substitutional impurity defect.

What is the percent by mass of titanium in rutile, a mineral that contain titanium and oxygen, if structure can be described as a closet packed array of oxide ions, with titanium in one half of the octahedral holes. What is the oxidation number of titanium ? $\left({\mathrm{T}}_{\mathrm{i}}=48\right)$

Spinel is a important class of oxides consisting of two types of metal ions with the oxide ions arranged in $\mathrm{CCP}$ pattern. The normal spinel has one - eight of the tetrahedral holes occupied by one type of metal ion. and one half of the octahedral hole occupied by another type of metal ion. Such a spinel is formed by ${\mathrm{Zn}}^{2+}$, ${\mathrm{Al}}^{3+},{\mathrm{O}}^{2-}$, with ${\mathrm{Zn}}^{2+}$ in the tetrahedral holes. Give the formula of spinel.

Calculate the density of diamond from the fact that it has face centered cubic structure with two atoms per lattice point and unit cell edge length of $3.569\stackrel{°}{\mathrm{A}}$

An element crystallizes into a structure which may be described by a cubic type of unit cell having one atom on each corner of the cube and two atoms on one of its body diagonals. If the volume of this unit cell is $24\times {10}^{-24}{ \mathrm{cm}}^3$ and density of element is $7.2 \mathrm{g}{ \mathrm{cm}}^{-3}$, calculate the number of atoms present in $200 \mathrm{g}$ of element.

Silver has an atomic radius of $144\mathrm{pm}$ and the density of silver is $10.6{\mathrm{gcm}}^{-3}$. To which type of cubic crystal, silver belongs?  Atomic mass of$\mathrm{Ag}=108$

An element crystallizes in a structure having $\mathrm{FCC}$unit cell of an edge $200\mathrm{pm}$. Calculate the density, if $200 \mathrm{g}$ of this element contains $5\times {10}^{24}$ atoms.