Silver forms a CCP structure and its density | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For a $CCP$ structure,the number of atoms per unit cell $Z = 4$. The density formula is $d = \frac{ZM}{N_A a^3}$. Rearranging for $a^3$: $a^3 = \f

Vedclass · Accepted Answer

$\sqrt[3]{68.1} \ \mathring{A}$

Vedclass · Answer

(C) For a $CCP$ structure,the number of atoms per unit cell $Z = 4$. The density formula is $d = \frac{ZM}{N_A a^3}$. Rearranging for $a^3$: $a^3 = \frac{ZM}{N_A d} = \frac{4 	imes 107.9}{(6.022 	imes 10^{23}) 	imes 10.5}$. $a^3 = \frac{431.6}{63.231 	imes 10^{23}} \approx 6.825 	imes 10^{-23} \ cm^3$. Converting $cm^3$ to $\mathring{A}^3$: $1 \ cm^3 = (10^8 \ \mathring{A})^3 = 10^{24} \ \mathring{A}^3$. $a^3 = 6.825 	imes 10^{-23} 	imes 10^{24} \ \mathring{A}^3 = 68.25 \ \mathring{A}^3$. Therefore,$a = \sqrt[3]{68.25} \ \mathring{A}$.

Silver forms a $CCP$ structure and its density is $10.5 \ g/cm^3$. What is the edge length of the unit cell? (Molar mass of silver is $107.9 \ g/mol$)

Similar Questions

Copper crystallises into a $fcc$ lattice with edge length $3.61 \times 10^{-8} \, cm$. Show that the calculated density is in agreement with its measured value of $8.92 \, g \, cm^{-3}$.

An element (atomic mass $= 100 \ g/mol$) having $bcc$ structure has a unit cell edge of $400 \ pm$. The density of the element is ................. $g/cm^3$.

Calculate the molar mass of an element having density $21 \ g \ cm^{-3}$ that forms $fcc$ unit cell $[a^3 \cdot N_{A} = 36 \ cm^3 \ mol^{-1}]$

To obtain a diffraction peak for a crystalline solid with interplane distance equal to the wavelength of incident $X$-ray radiation,the angle of incidence should be $....\,^{\circ}$

Salt $AB$ has a zinc blende structure. The radii of $A^{2+}$ and $B^{2-}$ ions are $0.7 \ \mathring{A}$ and $1.8 \ \mathring{A}$ respectively. The edge length of the $AB$ unit cell is ........... $\mathring{A}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module