Copper crystallises into a fcc lattice with edge length 3.61 x 10⁻⁸ cm. Show that the calculated density is in agreement with its measured value of 8.92 g cm⁻³
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Dear Student,
◆ Answer -
d = 8.96 g/cm^3
● Explanation -
# Given -
a = 3.61×10^-8 cm
# Solution -
For FCC lattice,
d = Z.M / a^3.NA
Substitute values,
d = (4 × 63.5) / [(3.61×10^-8)^3 × 6.022×10^23]
d = 254 / 28.33
d = 8.96 g/cm^3
From this, it's evident that calculated value of density (8.96 g/cm^3) is approximately equal to given value (8.92 g/cm^3).
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