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

Question

(a) How many kilograms are there in 1 mole ofiron?
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 percubic meter).
mol/m3

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

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

(e) If the wire carries a current of 18.0 A, calculate the drift speed of conductionelectrons.
m/s

Explanation / Answer

(a) there are   55.85 grams per mole,or     0.05585 kg permole    (from the periodid table) . (b)    7860 kg/m3 / 0.05585 kg/mole   =    140734    mole/m3 . (c)     140734 mole/m3 * 6.022 x 1023 atoms/mole =    8.475 x1028 atoms/m3 . (d)     8.475 * 2 =      16.950 x 1028 conduction electrons/m3 . (e)   drift speed = current / n Ae   =   18.0 / 16.950 x 1028 *1.44 x 10-5 * 1.60 x 10-19 = .              =    4.61 x 10-5 m/s . (d)     8.475 * 2 =      16.950 x 1028 conduction electrons/m3 . (e)   drift speed = current / n Ae   =   18.0 / 16.950 x 1028 *1.44 x 10-5 * 1.60 x 10-19 = .              =    4.61 x 10-5 m/s

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