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X-ray diffraction studies show that copper crystallizes in an fcc unit cell with cell edge of 3.608 xx 10^(-8) cm. In a separate experiment, copper is determined to have a density of 8.92 g//cm^3 calculate the atomic mass of copper.

Answer»


Solution :Z=4 for FCC structure, `a=3.608 xx 10^(-8)` cm, d=8.92 g `cm^(-3)`, `N_A=6.023 xx 10^(23)`, M = ?
`M = (N_A xx d xx a^3)/(Z) =( 6.023 xx 10^(23) xx 8.92 xx (3.608)^3 xx 10^(-24))/(4)= 63.08 g mol^(-1)` or M = 63.1 u


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