Copper has a face –centered cubic structure with a one –atom basis .The density of copper is 8.96

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Suresh Chand · Accepted Answer

Solution: Here is given, Density of copper (ρ) = 8.96 g cm-3 Number of atom per cell (N) = 4 Avargado Number (NA) = 6.023 × 1023 atom mole-1 Length of the unit cube (a) = ? Atomic weight of copper(m) = 63.5 g mole-1 We know that, (frac{N}{V} = frac{nN_{A}}{frac{m}{ρ}}) (frac{N}{V} = frac{ρN_{A}}{m}) (frac{N}{a^3} = frac{ρN_{A}}{m}) or, (a^3 = frac{Nm}{ρN_A}) or,  (= frac{4 times 63.5}{8.96 times 6.023 times 10^{23}}) or, a3 = 4.71 × 10-23 or, a = 3.61 × 10-7 cm Hence, the required length of the unit cubic of the structure is 3.61 × 10-7 cm

Copper has a face –centered cubic structure with a one –atom basis .The density of copper is \(8.96 gm cm^{-3}\) and its atomic weight is 63.5 g/mole. What is the length of the unit .cube of the structure?

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Copper has a face –centered cubic structure with a one –atom basis .The density of copper is \(8.96 gm cm^{-3}\) and its atomic weight is 63.5 g/mole. What is the length of the unit .cube of the structure?

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