Calculating Number of Electrons in a Copper Wire | Electric Field HW Help

AI Thread Summary
To calculate the number of electrons in a copper wire, first determine the number of atoms by dividing the mass of the wire (6.35g) by the atomic mass of copper (63.5 g/mol), converting units as necessary. Since copper has an atomic number of 29, each atom contributes one free electron, meaning the number of free electrons equals the number of atoms calculated. The approach involves careful unit conversions and understanding the relationship between mass and atomic properties. The initial attempt at using the mass of the electron and Coulomb's law was not applicable for this problem. Accurate calculations will yield the total number of electrons and free electrons in the wire.
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Homework Statement


A copper wire 90 cm long a 1.00 mm in diameter has a mass of 6.35g.

A) Find the number of electrons in the wire. (Copper has an atomic number of 29; that is there are 29 protons in the copper atom. Copper's atomic mass is 63.5)

B) There is one free electron per atom in copper. Find the number of free electrons in the wire.


Homework Equations



I'm not sure... but these might be helpful. mass of electron= 9.11x10^-31kg.F=k(q x q/r^2)

The Attempt at a Solution



I tried plugging into this equation but it does not work.
 
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atomic mass is related to the kilograms. you have the mass of the wire, so using this find the no of atoms in the wire . no of atoms in the wire is mass of wire over atomic mass.
careful about the units
 

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