Home
Class 12
CHEMISTRY
Calcium crystallizesin fcc unit cell wit...

Calcium crystallizesin `fcc` unit cell with `0.556 nm`. Calculate the density if
a. It contains `0.2%` Frenkel defects
b. It contains `0.1%` Schottky defects

Text Solution

Verified by Experts

(i) Density in case of Frenkel defects. The Frenkel defects do not change the density because the number of atoms Per unit cell remains the same.
`rho=(ZxxM)/(a^(3)xxN_(0))=(4xx("40 g mol"^(-1)))/((0.556xx10^(-7)cm)^(3)xx(6.022xx10^(23)"mol^(-1)))`
`=1.5463"g cm"^(-3)`
(ii) Density in case Schottky defects. Due to Schottky defects, vacant spaces will decrease the number of atoms per unit cell.
`therefore" "Z=(4-(4xx0.1)/(100))=3.996`
`rho=(ZxxM)/(a^(3)xxN_(0))=((3.966)xx("40 g mol"^(-1)))/((0.556xx10^(-7)cm)^(3)xx(6.002xx10^(23)mol^(-1)))`
`=1.5448"g cm"^(-3)`
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    DINESH PUBLICATION|Exercise PROBLEMS|71 Videos

  • SOLID STATE

    DINESH PUBLICATION|Exercise MULTIPLE CHOCIE QUESTION (TYPE-I)|63 Videos

  • SOLID STATE

    DINESH PUBLICATION|Exercise QUESTION FROM BOARD EXAMINATION|80 Videos

  • REDOX REACTIONS

    DINESH PUBLICATION|Exercise Ultimate Preparation|9 Videos

  • SOLUTIONS

    DINESH PUBLICATION|Exercise ULTIMATE PREPARATORY PACKAGE|10 Videos

Similar Questions

Explore conceptually related problems

Calcium crystallizes in a face centred cubic unit cell with a = 0.556 nm. Calculate the density if it contains (i) 0.1 % Frenkel defect (ii) 0.1 % Schottky defect

Calcium crystallises in a face - centred cubic unit cell with a=556nm . Calculate the density if it contained 0.1% Vaccancy defects.

The metal calcium crystallises in fcc unit cell with a = 600 pm. Calculate the density of the metal if it contains 0.2% Schottky defects.

Strontium crystallizes in a fcc unit cell with edge length a. it contains 0.2% Frenkel defect and another crystal of Sr contains 0.1% Schottky defect. Density of solid with Frenkel defect= d_(f) and density with Schottky defect= d_(S) , then

A metal crystallizes in a face centred cubic unit cell with a = 0.560 nm . Calculate the density of the metal if it contains 0.1% Schottky defects. (Atomic mass of metal = 40 g mol^(-1))

Calcium crystallizes in a face centred cubic unit cell with a = 0.560 nm. The density of the metal if it contains 0.1% schottky defects would be:

Calcium metal crystallises in fcc lattice with edge length of 556 pm. Calcualte the density in g//cm^(3) ) of metal if it contains 0.2% Schottky defects.