Question

how to find the amount of free electrons per cubic meter of a material

how to find the amount of free electrons per cubic meter of a material

Homework Answers

Answer #1

If the material in question is metal, then each atom contributes one electron in the metal.

So, then the number of free electrons per cubic meter is the number of atoms in 1 cubic meter

The number of atoms in 1 mole of the metal is the Avogadro number. You can find out the weight of 1 mole of atoms using the molar mass of the metal and then the number of atoms in 1 cubic meter using the density of the metal. So putting it all together, the number of free electrons per cubic meter in a metal is

where is the Avogadro number

is the density in kg/cubic meter units

and m is the molar mass in kg per mole unit.

As an example, for copper

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