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

Question

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

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

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

(e) If the wire carries a current of 36.0A, calculate the drift speed of conduction electrons.
5 m/s

Explanation / Answer

A=2.1e-6 m^2 I=26 A a.)mass of Fe=55.84g=.055847 kg b.) =7870kg/m^3 (7870kg/m^3)(1mol/.055847kg)=1.41e5mol/m^3 c.) V=(.05584kg/mol)/(7870kg/m^3)=7.096e-6mol/m^3,n=(6.02e23atoms/mol)/(7.096e-6mol/m^3)=8.469e28 atoms/m^3 d.) (8.469e28atoms/m^3)*2=1.69e29 electrons/m^3 e.) V=I/(nqA)=36/{(1.69e29)*(1.6e-6)*(2.1e-6)}=.000634m/s

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