KBr has NaCl structure. Its density is 2.75 | vedclass

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

Question

(B) For $NaCl$ structure,the number of formula units per unit cell $(Z)$ is $4$.Density formula: $ho = \frac{Z 	imes M}{N_{A} 	imes a^3}$Rearrangi

Vedclass · Accepted Answer

$6.6 	imes 10^{-8} \ cm$

Vedclass · Answer

(B) For $NaCl$ structure,the number of formula units per unit cell $(Z)$ is $4$.Density formula: $ho = \frac{Z 	imes M}{N_{A} 	imes a^3}$Rearranging for edge length $(a)$: $a = \left[ \frac{Z 	imes M}{ho 	imes N_{A}} ight]^{1/3}$Given: $Z = 4$,$M = 119 \ g \ mol^{-1}$,$ho = 2.75 \ g \ cm^{-3}$,$N_{A} = 6.023 	imes 10^{23} \ mol^{-1}$$a = \left[ \frac{4 	imes 119}{2.75 	imes 6.023 	imes 10^{23}} ight]^{1/3}$$a = \left[ \frac{476}{16.563 	imes 10^{23}} ight]^{1/3} \approx (28.74 	imes 10^{-23})^{1/3} \approx (287.4 	imes 10^{-24})^{1/3}$$a \approx 6.6 	imes 10^{-8} \ cm$

$KBr$ has $NaCl$ structure. Its density is $2.75 \ g \ cm^{-3}$. The edge length of the unit cell will be (molar mass of $KBr$ is $119 \ g \ mol^{-1}$):

Similar Questions

In the $x$-ray reflection $(n=1)$, the distance between two parallel planes of $NaCl$ is $280 \ pm$ and the diffraction angle is $5.2^{\circ}$. What is the wavelength of its light radiation? (Given: $\sin 5.2^{\circ} = 0.09$)

Copper crystallises in $fcc$ with a unit cell edge length of $361 \ pm$. What is the radius of the copper atom in $pm$?

An element crystallising in $fcc$ lattice has a density of $8.92 \ g \ cm^{-3}$ and edge length of $3.61 \times 10^{-8} \ cm$. What is the atomic weight of the element (in $u$)? $(N_A = 6.022 \times 10^{23} \ mol^{-1})$

The cubic unit cell of a metal (molar mass $= 63.55 \ g \ mol^{-1}$) has an edge length of $362 \ pm$. Its density is $8.92 \ g \ cm^{-3}$. The type of unit cell is

How many unit cells are present in $39 \ g$ of potassium that crystallizes in a body-centred cubic structure? $[At. \ wt. \ of \ K = 39]$

Vedclass Test Series

Exam Paper Generator

Online Exam Module