Home
Class 12
CHEMISTRY
Calculate the density of silver which cr...

Calculate the density of silver which crystallizes in face- centred cubic form. The distance between nearest metal atoms is 287 pm (Molar mass of `Ag = 107.87 g mol^(-1) , N_A = 6.022 xx 10^(23) mol^(-1)`).

Text Solution

Verified by Experts

Nearest neighbour distance in an fcc crystal = `1/2 xx "Face diagonal" =a/sqrt2` or `287 xx 10^(-12) m = a/sqrt2`
`a=2.87 xz 1.414 xx 10^(-10)=4.058 xx 10^(-10)m`
= `405.8 xx 10^(-10)` cm
No. of atoms per unit cell, Z=4
Atomic mass of silver, M=107.87 g `mol^(-1)`
Avogadro.s number, `N_A = 6.022 xx 10^(23) mol^(-1)`
Density of unit cell, `d = (Z xx M)/(N_A xx a^3 xx 10^(-30)) g cm^(-3)`
`:. d=(4 xx (107.87 g mol^(-1)))/(6.022 xx 10^(23) mol xx (405.8)^3 xx 10^(-30) cm^3)`
`= 10.72 g cm^(-3)`
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    KALYANI PUBLICATION|Exercise WORKED OUT EXAMPLE(Type II. Calculation of Edge length, Interionic distances and volume of unit cell from Density.)|4 Videos

  • SOLID STATE

    KALYANI PUBLICATION|Exercise WORKED OUT EXAMPLE(Type III. Calculation of Avogadro.s Number)|1 Videos

  • SOLID STATE

    KALYANI PUBLICATION|Exercise ISC EXAMINATION QUESTIONS PART-I (Numerical Problems)|5 Videos

  • POLYMERS

    KALYANI PUBLICATION|Exercise EXERCISE (PART-II (DESCRIPTIVE QUESTIONS )) ( SHORT ANSWER QUESTIONS|5 Videos

  • SURFACE CHEMISTRY

    KALYANI PUBLICATION|Exercise EXERCISE (PART-II ( DESCRIPTIVE QUESTIONS )) (VERY SHORT ANSWER QUESTIONS)|31 Videos

Similar Questions

Explore conceptually related problems

Gold metal crystallizes in a face-centred cubic cell (fcc). Determine the density of gold. (Atomic mass of gold = 197u, atomic radius of 0.144 nm, N_A = 6.012xx10^23 mol^-1 ).

Calculate the value of Avogardo Constant from the following data. Density of NaCl = 2.165 gcm^-3 , distance bet^n Na^+ and Cl^- in NaCl = 281 pm (molar mass of NaCl = 58.5 gmol^-1)

Copper crystallises into a fcc lattice. Its edge length is 3.61xx10^-8 cm . Claculate the density of copper. (at mass of copper = 63.5u, N_A = 6.022xx10^23mol^-1 ).

KALYANI PUBLICATION-SOLID STATE-WORKED OUT EXAMPLE(Type I. Calculation of Density of Unit Cell)
  1. Calculate the density of silver which crystallizes in face- centred cu...

    Text Solution

    |