Calculating number of free electrons in metals

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Homework Help Overview

The discussion revolves around calculating the number of free electrons in sodium using resistance data and the Drude model. Participants are exploring the relationship between resistivity and free electron density.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using the Drude model and the formula for resistivity. Questions arise regarding the calculation of free electrons per atom after determining the free electron density per cubic centimeter.

Discussion Status

Some participants have provided guidance on using resistivity values and suggested methods for finding the number of atoms per cubic centimeter. There is an acknowledgment of progress on the first part of the problem, but uncertainty remains regarding the second part.

Contextual Notes

Participants note the need for specific units and mention the importance of looking up resistivity values. There is a reference to homework posting guidelines.

eforma
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Hello everyone, I need your help on a question. The question is "calculate the number of free electrons per cubic centimeter (and per atom)for sodium from resistance data(relaxation time= 3.1Exp-14s)
 
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Just use the formula for resisitvity. Probably you are using the Drude model.
And you need to look up the value of resistivity.
And better post this in the homework section.
 
nasu said:
Just use the formula for resisitvity. Probably you are using the Drude model.
And you need to look up the value of resistivity.
And better post this in the homework section.
Yea I was using the drude model. I know the value of resistivity of sodium to be 4.2Exp-6
 
Then what is your problem?
Some units won't hurt.
 
nasu said:
Then what is your problem?
Some units won't hurt.
I was able to solve the 1st part but he second part (per atom) kind of eludes me
 
eforma said:
I was able to solve the 1st part but he second part (per atom) kind of eludes me
Oh, you can find the number of atoms per cubic cm from density and atomic mass.
 

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