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Assume that the total volume of a metal sample is the sum of the volume occupied...

Assume that the total volume of a metal sample is the sum of the volume occupied by the metal ions making up the lattice and the (separate) volume occupied by the conduction electrons. The density and molar mass of the first metal are 886 kg/m3 and 28.0 g/mol, respectively; assume the radius of an ion is 88.9 pm. (a) What percent of the volume of a sample of this metal is occupied by its conduction electrons? (b) Carry out the same calculation for the second metal, which has density, molar mass, and ionic radius of 8830 kg/m3, 68.9 g/mol, and 145 pm, respectively. (c) For which of these metals do you think the conduction electrons behave more like a free-electron gas?

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