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Copper crystallizes into a FCC lattice w...

Copper crystallizes into a FCC lattice with edge length `3.61 xx 10^(-8)` cm . Show that the calculated density is in agreement with its measured value of `8.92 g. cm^(-3)` .

Text Solution

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Density `d = (ZM)/(a^(3) xx N_(A))`
Given edge length = `3.61 xx 10^(-8)` cm
For FCC lattice of copper Z = 4
Atomic mass of copper M = 63.5 gms/mole
`d = (4 xx 63.5)/((3.61 xx 10^(-8))^(3) xx 6.023 xx 10^(23))`
`= 8.97 g//cm^(3)`
The calculated value is approximately in agreement with the measured value `8.92 g// cm^(3)`.
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