The number density of conduction electrons in a metal can be found from the density r of the metal,the mass per mole M of the metal,the number of conduction electrons per metal atom,and Avogadro's number N_A.If we assume one conduction electron per atom,which of the following gives the number density of conduction electrons for a given metal? A)N_ArM B)N_Ar/M C)N_A M/r D)N_A/rM

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Quizplus · Accepted Answer

The number density of conduction electrons can be found using the formula: number density = (number of conduction electrons per atom x Avogadro's number x density) / molar mass Since we are assuming one conduction electron per atom, the number of conduction electrons per atom is 1. Therefore, the formula becomes: number density = (1 x Avogadro's number x density) / molar mass Substituting the units, we get: number density = (1 mol^-1 x 6.022 x 10^23 mol^-1 x kg m^-3) / (g mol^-1) Simplifying, we get: number density = (6.022 x 10^28) x (density in kg m^-3) / (molar mass in g mol^-1) This is equivalent to equation B: N_Ar/M.

The Number Density of Conduction Electrons in a Metal Can