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.

Options

A. `3.992`
B. `1.5455`
C. `1.5427`
D. `1.4987`

Answer

C

Explanation

Due to `0.2%` schottky defect, number of atoms
`=4-((0.2)/(100)xx4)=3.992`
`d=(ZxxM)/(a^(3)xxN_(A))=(3.992xx40)/((0.556xx10^(-7))^(3)xx6.022xx10^(23))`
`d=1.5427gcm^(-3)`