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An element crystallises in fcc lattice with cell edge of 400 pm. Calculate its density if 250 g of this element contain `2.5 xx 10^(24)` atoms. |
Answer» Z = 4 `a = 400 "pm" = 400 xx 10^(-10) cm` `6.022 xx 10^(23)` atoms has a mass = molecular mass (M) `2.5 xx 10^(24)` atoms has mass = 250 g `6.022 xx 10^(23)` atoms has mass = `(250)/(2.5 xx 10^(24)) xx 6.022 xx 10^(23)` Molecular mass (M) = 60.22g `d=(Z xx M)/((a)^(3)xxNa)` `d = (4 xx cancel60.22)/((400xx10^(-10))^(3)xxcancel(6.022)xx10^(23))` `d = (cancel(400))/(cancel(4)xx4xx4) = d = (10)/(16) = 6.25 g//cm^(3)` |
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