Solid State · Chemistry · JEE Advanced
Numerical
The density (in $\mathrm{g} \mathrm{cm}^{-3}$ ) of the metal which forms a cubic close packed (ccp) lattice with an axial distance (edge length) equal to 400 pm is ___________.
Use: Atomic mass of metal $=105.6 \mathrm{amu}$ and Avogadro's constant $=6 \times 10^{23} \mathrm{~mol}^{-1}$
$$(i)\,\,\,\,\,$$ Remove all the anions $$(X)$$ except the central one
$$(ii)\,\,\,\,$$ Replace all the face centered cations $$(M)$$ by anions $$(X)$$
$$(iii)\,\,$$ Remove all the corner cations $$(M)$$
$$(iv)\,\,\,\,$$ Replace the central anion $$(X)$$ with cation $$(M)$$
The value of $$\,\,\left( {{{number\,\,of\,\,anions} \over {number\,\,of\,\,cations}}} \right)\,\,$$ in $$Z$$ is ___________.
The coordination number of Al in the crystalline state of AlCl$$_3$$ is ___________.
An element crystallises in fcc lattice having edge length 400 pm. Calculate the maximum diameter of the atom which can be placed in interstitial site such that the structure is not distorted.
MCQ (Single Correct Answer)
The arrangement of X$$-$$ ions around A+ ion in solid AX is given in the figure (not drawn to scale). If the radius of X$$-$$ is 250 pm, the radius of A+ is
A compound MpXq has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown below. The empirical formula of the compound is
The number of atoms in this HCP unit cell is :
The volume of this HCP unit cell is :
The empty space in this HCP unit cell is :
Match the crystal system/unit cells mentioned in Column I with their characteristic features mentioned in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $$\times$$ 4 matrix given in the ORS.
| Column I | Column II | ||
|---|---|---|---|
| (A) | Simple cubic and face-centred cubic | (P) | have these cell parameters $$a=b=c$$ and $$\alpha=\beta=\gamma$$ |
| (B) | cubic and rhombohedral | (Q) | are two crystal systems |
| (C) | cubic and tetragonal | (R) | have only two crystallographic of 90$$^\circ$$ |
| (D) | hexagonal and monoclinic | (S) | belong to same crystal system |
MCQ (More than One Correct Answer)
If $\mathrm{r}_{\mathrm{z}}=\frac{\sqrt{3}}{2} r_{\mathrm{y}} ; \mathrm{r}_{\mathrm{y}}=\frac{8}{\sqrt{3}} \mathrm{r}_{\mathrm{x}} ; M_{\mathrm{z}}=\frac{3}{2} M_{\mathrm{y}}$ and $M_{\mathrm{z}}=3 M_{\mathrm{x}}$, then the correct statement(s) is(are) :
[Given: $M_x, M_y$, and $M_z$ are molar masses of metals $x, y$, and $z$, respectively.
$\mathrm{r}_{\mathrm{x}}, \mathrm{r}_{\mathrm{y}}$, and $\mathrm{r}_{\mathrm{z}}$ are atomic radii of metals $\mathrm{x}, \mathrm{y}$, and $\mathrm{z}$, respectively.]
The correct statement(s) regarding defects in solids is (are)
Subjective
The edge length of unit cell of a metal having molecular weight $$75 \mathrm{~g} \mathrm{~mol}^{-1}$$ is 5 $$\mathop A\limits^o $$ which crystallizes in cubic lattice. If the density is $$2 \mathrm{~g} / \mathrm{cc}$$, find the radius of metal atom. $$\left(\mathrm{N}_{\mathrm{A}}=6 \times 10^{23}\right)$$. Give the answer in $$\mathrm{pm}$$.
(a) Find the density of the lattice
(b) If the density of lattice is found to be 20 kg m-3, then predict the type of defect