An element with density 2 ⋅ 8 g cm − 3 forms fec unit cell having edge length 4 × 1 0 − 8 cm . Calculate molar mass of the element.

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ρ = 2.8 gcm − 3 , a = 4 × 1 0 − 8 cm , n = 4 ( for fcc), M = ? ρ = a 3 × N A ​ n × M ​ ∴ M = n ρ × a 3 × N A ​ ​ ∴ M = 4 2.8 × ( 4 × 1 0 − 8 ) 3 × 6.022 × 1 0 23 ​ = 26.97 ≈ 27 g mol − 1

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