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Copper crystallises into a fcc lattice w...

Copper crystallises into a fcc lattice with edge length `3.61xx10^(-8)`cm. Show that the calculated density of Cu is in agreement with its measured value of 8.92 g `cm^(-3)`.

Text Solution

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`d=(Z xx M)/(a^(3)xx N_(A))`
`:.` For fcc lattice of Cu, Z = 4
Atomic mass of Cu, M = 63.5 `"g mol"^(-1)`
`:.d=(4xx63.5"g mol"^(-1))/((3.61xx10^(-8)cm)^(3)xx (6.022 xx 10^(23)"mol"^(-1)))`
`=8.97g cm^(-3)`
This value is in agreement with its measured value.
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