Aluminium crystallises in a face-centred cubic lattice. The edge length of the unit cell of aluminium is 4.05 x 10-10m. What is the density of aluminium? (Atomic mass of Al=27)

Options

A. `2700 kg m^(-1)`
B. `3000 kg m^(-1)`
C. `2400 kg m^(-3)`
D. `2100 kg m^(-3)`

Answer

A

Explanation

Density of Aluminium
`rho= (Z xx M)/( a^(3) xx N_(o))`
`= (4 xx 27 )/( ( 4.05 xx 10 ^(-1))^(3) xx 6.02 xx 10 ^(23))`
= 2700 kg `m^(-3)``