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. 0.1527
D. 1.4987

Answer

C

Explanation

Due to 0.2% schottky detect,
number of atoms
`=((100-0.2))/(100)xx4=3.992`
Density, `d=(ZxxM)/(a^(3)xxN_(A))`
`=(4xx3.992)/((0.556xx10^(-7))^(3)xx6.023xx10^(23))`
`d=0.15427g//cm^(3)`