Finding the fraction of electrons lost

In summary, the conversation discusses a small piece of aluminum with an atomic number of 13 and 1015 atoms. The piece of aluminum has a net positive charge of 3.0 micro Coulombs, and the question is what fraction of the electrons would have been lost from the neutral state. After some calculations, the answer is determined to be 3/2080. Avogadro's number may be needed for this problem.
  • #1
jheld
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0

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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  • #2
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:
 
  • #3
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 :)
 

FAQ: Finding the fraction of electrons lost

How do you calculate the fraction of electrons lost?

The fraction of electrons lost can be calculated by dividing the number of electrons lost by the total number of electrons in the system. This will give you a decimal value, which can then be converted to a percentage if desired.

Why is it important to find the fraction of electrons lost?

It is important to find the fraction of electrons lost because it can provide valuable information about the efficiency and stability of a system. It can also help identify any potential issues or losses in the system that may need to be addressed.

What factors can affect the fraction of electrons lost?

The fraction of electrons lost can be affected by a variety of factors, including the type of material the electrons are moving through, the temperature of the system, and any external forces or influences on the system.

How can you measure the fraction of electrons lost in a system?

The fraction of electrons lost can be measured using various techniques, such as electrical measurements, spectroscopy, or imaging methods. The specific method used will depend on the type of system and the desired level of precision.

Can the fraction of electrons lost be reversed or recovered?

In some cases, the fraction of electrons lost can be reversed or recovered by adjusting the conditions or parameters of the system. However, this is not always possible and may require significant effort or resources.

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