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Copper crystallizer into an fcc lattice ...

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)`.

Text Solution

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` p = ( Z xxM)/(a^(3) xx V_(0))`
For fcc lattice of copper , Z =4 Atomic mass of copper, M = ` 63.5 " g mol"^(-1)`
` p = ( 4 xx 63.5 " g mol"^(-1))/((3.61 xx 10^(-8) "cm")^(3) xx ( 6.022 xx 10^(23) "mol"^(-1))) =8.97 " g cm"^(-3)`
which is in close agreement with the measured with the measured value .
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