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The number density of conduction electrons in a metal can be found from the dens

ID: 1419965 • Letter: T

Question

The number density of conduction electrons in a metal can be found from the density (Greek letter) of the metal, the mass per mole M of the metal, the number of conduction electrons per metal atom, and Avogadro’s number NA. If we assume one conduction electron per atom, which of the following gives the number density of conduction electrons for a given metal?

a.
NA (Greek Letter) M

b.
NA (Greek Letter) /M

c.
NA M/(Greek letter)

d.
NA /(Greek Letter) M

Correct answer is B, need an explanation please and thanks.

Explanation / Answer

Here, moles density of   conduction electrons for a given metal = mass density/molecular mass

                                                                                        =   (Greek letter)/M

=>    the number density of conduction electrons   = NA * (Greek letter)/M

=> option B) is correct .

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