An iron wire has a cross-sectional area egual to 9.50 x 10-6 m2. Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 29.0 A (a) How many kilograms are there in 1.00 mole of iron? 0.0558 v 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). 7.09e-6 x mol/m3 (c) Calculate the number density of iron atoms using Avogadro's number. 1.41e-7 x atoms/m3 (d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom. 1.69e17 x electrons/m3 (e) Calculate the drift speed of conduction electrons in this wire. 2.24 x m/s

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter28: Current And Resistance
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An iron wire has a cross-sectional area equal to 9.50 x 10-6 m2. Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 29.0 A.
(a) How many kilograms are there in 1.00 mole of iron?
0.0558
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).
7.09e-6
X mol/m3
(c) Calculate the number density of iron atoms using Avogadro's number.
1.41e-7
X atoms/m3
(d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom.
1.69e17
x electrons/m3
(e) Calculate the drift speed of conduction electrons in this wire.
2.24
m/s
Transcribed Image Text:An iron wire has a cross-sectional area equal to 9.50 x 10-6 m2. Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 29.0 A. (a) How many kilograms are there in 1.00 mole of iron? 0.0558 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). 7.09e-6 X mol/m3 (c) Calculate the number density of iron atoms using Avogadro's number. 1.41e-7 X atoms/m3 (d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom. 1.69e17 x electrons/m3 (e) Calculate the drift speed of conduction electrons in this wire. 2.24 m/s
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