(a) How many kilograms are there in 1 mole of iron? kg/mol (b) Starting with the

Question

(a) How many kilograms are there in 1 mole of iron?
kg/mol

(b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter).
mol/m3

(c) Calculate the number density of iron atoms using Avogadro's number.
atoms/m3

(d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom.
electrons/m3

(e) If the wire carries a current of 9.0 A, calculate the drift speed of conduction electrons.
m/s

Explanation / Answer

(A) molar mass of iron = 55.845 g

in 1 mol = 0.055845 kg / mol

(B ) density of iron = 7860 kg/m^3

mol density = 140747 mol / m^3

(C) number denisty = (6.022 x 10^23)(140747)

= 8.476 x 10^28 atoms / m^3

(D) then electron density = 2 x 8.476 x 10^28

= 1.695 x 10^29 electrons / m^3

(E) Vd = I / n A q

= (9) / (11.695 x 10^29 x 1.27 x 10^-5 x 1.6 x 10^-19)

= 2.613 x 10^-5 m/s

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