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Introductory Physics Homework Help
Finding the number of free electrons
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[QUOTE="PeroK, post: 6435850, member: 493650"] Okay, that's the answer, but it looks complicated and you've used ##n## as the number of atoms and the number of valence electrons. Let's use ##N## for the number of atoms per cubic metre and ##m## for the mass of a single atom. First, we know, by definition, that $$m = A \ amu$$ And we also know that $$M \ kg = 1 \ amu$$ because you are told that an atom if ##1 \ amu## has a mass of ##M \ kg##. This gives us the mass of an atom in ##kg##: $$m = AM \ kg$$ The number of atoms in ##d \ kg## is: $$N = \frac{d}{AM}$$ Alternatively, we know by definition that: ##A_0## is the number of atoms of ##1 \ amu## in ##1g## and ##A_0 \times 10^3## is the number of atoms of ##1 \ amu## in one ##kg##, hence ##\frac{ A_0 \times 10^3}{A}## is the number of atoms of ##A \ amu## in one ##kg##, and ##N = \frac{d \ A_0 \times 10^3}{A}## is the number of atoms of ##A \ amu## in ##d \ kg## [/QUOTE]
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Introductory Physics Homework Help
Finding the number of free electrons
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