**Determining the Drift Speed of Conduction Electrons in an Iron Wire**An iron wire has a cross-sectional area equal to \( 4.00 \times 10^{-6} \, \text{m}^2 \). Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of \( 36.0 \, \text{A} \).**(a) Calculate the Mass per Mole of Iron**How many kilograms are there in 1.00 mole of iron?\[ \boxed{\text{kg/mol}} \]**(b) Compute the Molar Density of Iron**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).\[ \boxed{\text{mol/m}^3} \]**(c) Calculate the Number Density of Iron Atoms**Calculate the number density of iron atoms using Avogadro's number.\[ \boxed{\text{atoms/m}^3} \]**(d) Obtain the Number Density of Conduction Electrons**Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom.\[ \boxed{\text{electrons/m}^3} \]**(e) Calculate the Drift Speed**Calculate the drift speed of conduction electrons in this wire.\[ \boxed{\text{m/s}} \]*Need Help?* [![Read It](https://example.com/read_it_button_image.png)](https://example.com/educational_resource)*Note: There are no graphs or diagrams included in this problem statement. The focus is solely on the textual content and the calculations described.*

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An iron wire has a cross-sectional area equal to 4.00 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 36.0 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 Need Heln? Read It

An iron wire has a cross-sectional area equal to 4.00 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 36.0 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 Need Heln? Read It

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

Question

**Determining the Drift Speed of Conduction Electrons in an Iron Wire**

An iron wire has a cross-sectional area equal to \( 4.00 \times 10^{-6} \, \text{m}^2 \). Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of \( 36.0 \, \text{A} \).

**(a) Calculate the Mass per Mole of Iron**

How many kilograms are there in 1.00 mole of iron?

\[ \boxed{\text{kg/mol}} \]

**(b) Compute the Molar Density of Iron**

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).

\[ \boxed{\text{mol/m}^3} \]

**(c) Calculate the Number Density of Iron Atoms**

Calculate the number density of iron atoms using Avogadro's number.

\[ \boxed{\text{atoms/m}^3} \]

**(d) Obtain the Number Density of Conduction Electrons**

Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom.

\[ \boxed{\text{electrons/m}^3} \]

**(e) Calculate the Drift Speed**

Calculate the drift speed of conduction electrons in this wire.

\[ \boxed{\text{m/s}} \]

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