Finding the fraction of electrons lost

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SUMMARY

The discussion focuses on calculating the fraction of electrons lost from a piece of aluminum with a net positive charge of 3.0 micro Coulombs. The aluminum, containing 1015 atoms, has an atomic number of 13, indicating it originally has 13 electrons per atom. The solution involves using the formula (3 x 10-6) / (13 x 1.6 x 10-19 x 1015), resulting in a fraction of 3/2080 of the electrons being lost.

PREREQUISITES
  • Understanding of atomic structure, specifically atomic number and electron configuration.
  • Familiarity with Coulomb's law and electric charge concepts.
  • Knowledge of Avogadro's number and its application in calculations.
  • Basic proficiency in algebra for manipulating equations.
NEXT STEPS
  • Study the relationship between charge and electron loss in conductive materials.
  • Learn about Coulomb's law and its applications in electrostatics.
  • Explore Avogadro's number and its significance in chemistry calculations.
  • Practice problems involving charge calculations in neutral and ionized atoms.
USEFUL FOR

This discussion is beneficial for chemistry students, educators, and anyone interested in understanding the principles of electric charge and atomic structure, particularly in the context of aluminum and its electron behavior.

jheld
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Homework Statement


A small piece of aluminum(atomic number 13) contains 1015 . (The atomic number is the number of protons; it determines the (positive) electric charge of the nucleus and, thus, the number of electrons in a neutral atom.) If the piece of aluminum has a net positive charge of 3.0 micro Coulombs, what fraction of the electrons that the aluminum had when it was neutral would have had to be lost?


Homework Equations


Avogaddro's number might be needed.
I am not sure exactly what I need as far as equations go.
I know what the answer is, but I am unsure of how to get it.
Answer: 3/2080

The Attempt at a Solution


I don't know how to work this problem fully. I have an idea, but I get stuck along the way.
 
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jheld said:
A small piece of aluminum(atomic number 13) contains 1015 . (The atomic number is the number of protons; it determines the (positive) electric charge of the nucleus and, thus, the number of electrons in a neutral atom.) If the piece of aluminum has a net positive charge of 3.0 micro Coulombs, what fraction of the electrons that the aluminum had when it was neutral would have had to be lost?.

Hi jheld! :smile:

When it's neutral, it has 1015 atoms, each of which has 13 electrons …

so how much positive and negative charge (equal, of course) does it have?

And so if it now has a net positive charge of 3.0 µC, what fraction of the electrons has been lost? :wink:
 
Good point!
So I can say that with the positive charge increase...
(3*10^-6)/(13*1.6*10^-19*10^15) = some crappy decimal which comes out to be 3/2080.

thanks for the help :)
 

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