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Copper crystallizes in a cubic lattice s...

Copper crystallizes in a cubic lattice structure. Atomic radius of copper is 128 pm and its atomic mass is 63.5. The density of copper is

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The correct Answer is:
`10.71 " g cm"^(-3)`
For fcc , `r= a/sqrt2 or a = 2sqrt2r = 2xx 1.414 xx 128"pm"` = 362 pm
`p = (Z xx M)/(a^(3) xx N_(0)) = ( 4xx 63.5 "g mol"^(-1))/((362xx10^(-10)"cm")^(3) xx (6.02 xx 10^(23)"mol"^(-1)))= 8.9"cm"^(-3)`
Alternatively, `p = ( "mass of unit cell")/("volume of unit cell") = ( 4xx(63.5 "g mol"^(-1)//6.02xx10^(23)"mol"^(-1)))/((362xx 10^(-10)"cm")^(3))= 8.9 "g cm"^(-3)`
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