An iron wire has a cross-sectional area equal to 2.00 x 106 m². Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 8.0 A. (a) How many kilograms are there in 1.00 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) Calculate the drift speed of conduction electrons in this wire. m/s
An iron wire has a cross-sectional area equal to 2.00 x 106 m². Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 8.0 A. (a) How many kilograms are there in 1.00 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) Calculate the drift speed of conduction electrons in this wire. m/s
College Physics
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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
Transcribed Image Text:### Problem: Calculating Drift Speed in an Iron Wire
An iron wire has a cross-sectional area of \(2.00 \times 10^{-6} \, \text{m}^2\). Follow these steps to determine the drift speed of the conduction electrons in the wire, given a current of \(8.0 \, \text{A}\).
#### (a) Mass Calculation
**Question:** How many kilograms are there in 1.00 mole of iron?
- **Answer:** \(\_\_\_\_\_\_\) kg/mol
#### (b) Molar Density of Iron
Starting with the density of iron and the result of part (a), calculate the molar density of iron (number of moles of iron per cubic meter).
- **Answer:** \(\_\_\_\_\_\_\) mol/m\(^3\)
#### (c) Number Density of Iron Atoms
Calculate the number density of iron atoms using Avogadro's number.
- **Answer:** \(\_\_\_\_\_\_\) atoms/m\(^3\)
#### (d) Number Density of Conduction Electrons
Determine the number density of conduction electrons, given there are two conduction electrons per iron atom.
- **Answer:** \(\_\_\_\_\_\_\) electrons/m\(^3\)
#### (e) Drift Speed of Conduction Electrons
Calculate the drift speed of conduction electrons in this wire.
- **Answer:** \(\_\_\_\_\_\_\) m/s
In this exercise, you will learn to integrate physical constants and equations with practical data to solve real-world physics problems related to conduction and electron movement in materials.
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