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PhysicsMaterials Science

Material and Material Science: Calculate a BCC Metal's Atomic Weight

Use BCC atom counting, the 3.31 Å lattice constant, and a density of 16.6 g/cm³ to calculate the atomic weight of an unknown metal.

Question

A BCC metal has a lattice constant of 3.31 A˚3.31\,\text{Å} and a density of 16.6 g/cm316.6\,\mathrm{g/cm^3}. Determine its atomic weight.

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Evidence boundary

This calculation uses only the BCC structure and the two measurements in MIT Session #15, Problem #4. It assumes a fully occupied unit cell of a pure elemental metal. The result is an inferred molar mass, not an independent measurement or a uniquely proven element identification. The linked official PDF and its solution are the same problem version; rounding and the solution’s older Avogadro constant affect only the last retained digit.