Copper crystallises in fcc unit cell with cell edge length of 3.608 × 10^-8 cm . The density of copper is 8.92 g cm^-3 . Calculate the atomic mass of - Chemistry MCQ NEET 2022 2026 | ExamTest.live

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Copper crystallises in f cc unit cell with cell edge length of 3.608 \times 1 0^{- 8} cm . The density of copper is 8.92 g cm^{- 3} . Calculate the atomic mass of copper:

Solution & Step-by-step Explanation

Density d = \frac{Z \times M}{a ^{3} \times N _{A}} .For f cc, Z = 4 . d = 8.92 g/cm^{3} . a = 3.608 \times 1 0^{- 8} cm . N_{A} = 6.022 \times 1 0^{23} . M = \frac{d \times a ^{3} \times N _{A}}{Z} M = \frac{8.92 \times ( 3.608 \times 1 0 ^{- 8} ) ^{3} \times 6.022 \times 1 0 ^{23}}{4} M = \frac{8.92 \times 46.97 \times 1 0 ^{- 24} \times 6.022 \times 1 0 ^{23}}{4} \approx \frac{2522.9 \times 0.1}{4} \approx 63.1 g/mol

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Copper crystallises in f cc unit cell with cell edge length of 3.608 \times 1 0^{- 8} cm . The density of copper is 8.92 g cm^{- 3} . Calculate the atomic mass of copper:

63.1 u

31.55 u

60 u

65 u

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