What is the density of a solid? Although the mass densities, of solids vary greatly, the number densities (in mol/m3) vary surprisingly little. The value, of course, hinges on the separation between the atoms—but where does a theoretical prediction start? The electron in hydrogen must be treated not as a particle orbiting at a strict radius, as in the Bohr atom, but as a diffuse orbiting wave. Given a diffuse probability, identically repeated experiments dedicated to “finding” the electron would obtain a range of values—with a mean and standard deviation (i.e., uncertainty). Nevertheless, the allowed radii predicted by the Bohr model are very close to the true mean values.
(a). Assuming that atoms are packed into a solid typically, j Bohr radii apart, what would be the number of moles per cubic meter?
(b). Compare this with the typical mole density in a solid at 105 mol/m3. What would be the value of j
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