Copper crystallizes into a fcc lattice with edge length `3.61xx10^(-8)` cm. Show that the calculate density is in agreement with is measured value of 8.92 g `"cm"^(-3)`. (At mass of copper = 63.5)

Explanation

`a=3.61xx10^(-8)"cm"`,
Z = 4
[For f.c.c. lattice]
`M=63.5"g mol"^(-1)`
`N_(A)=6.022xx10^(23)"mol"^(-1),d=?`
`d=(ZxxM)/(a^(3)xxN_(A))`
`=(4xx(63.5"g mol"^(-1)))/((3xx61xx10^(-8)"cm")^(3)xx(6.022xx10^(23)"mol"^(-1)))`
`=8.97"g cm"^(-3)`
It is in close agreement with its measured value of 8.92 `"g cm"^(-3)`.