The edge length of unit cell of a metal having molecular weight 75 g / mol is 5 A ˚ which crystallizes in cubic lattice. If the density is 2 g / cc then find the radius of metal atom. ( N A = 6 × 1

Question

The edge length of unit cell of a metal having molecular weight 75 g / mol is 5 A ˚ which crystallizes in cubic lattice. If the density is 2 g / cc then find the radius of metal atom. ( N A ​ = 6 × 1 0 23 ) . Give the answer in pm .

TestHub · Accepted Answer

​ ρ = N A ​ V ZM ​ Z = M ρ N A ​ V ​ = 75 2 × 6 × 1 0 23 × ( 5 × 1 0 − 8 ) 3 ​ Z = 2 , which represents b cc structure ∴ r = 4 3 ​ ​ a = 4 3 ​ ​ × 5 = 2.165 A ˚ = 216.5 pm ≈ 217 pm ​

Chemistry - Solid State Question with Solution | TestHub

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