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

`a = 3.61 xx 10^(-8) cm`
`r = 8.97 g cm^(-3)` (given)
Atomic mass of copper. `Aw = 63.55 amu`
Avogardro's constant, `N_(A) = 6.02 xx 10^(23) mol^(-1)`
`Z_(eff) = 4, rho = (Z_(eff) xx Aw)/(a^(3) xx N_(A)) = (4 xx 63.55)/((3.61 xx 10^(-8))^(3) xx 6.02 xx 10^(23))`
`= (254.2)/(47.04 xx 6.02 xx 10^(-24) xx 10^(23))`
`= (2542)/(283.18) = 8.97 g cm^(-3)`
Thus, the calculated density is in agreement with the meaused value of `8.97 g cm^(-3)`.