Copper crystallizer into an fcc lattice with edge length `3.61 xx 10^(8) cm`, Show that the calculated density in in agreement with its measured value of `8.92 g cm^(3)`.

Explanation

Density of unit cell `(rho)=(ZxxM)/(a^(3)xxN_(0)xx10^(-30))`
According to available data,
Edge (a) = `3.61xx10^(-8)cm`= 361 pm , Atomic mass of Cu(M) = `63.5"g mol"^(-1)`
No. of atoms per unit cell (Z) = 4 , Avogadro's Number `(N_(0))=6.022xx10^(23)"mol"^(-1)`
Density of unit cell `=(4xx(63.5"g mol"^(-1)))/((361)^(3)xx(6.022xx10^(23)"mol"^(-1))xx(10^(-30)xx"cm"^(3)))=8.97"g cm"^(-3)`
The calculated value of the density is nearly the same as the measured value.