Calculating Charge on a 1.72 g Gold Nugget

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Homework Help Overview

The discussion revolves around calculating the net charge of a 1.72 g nugget of pure gold after removing 1% of its electrons. Participants are exploring the relationship between the mass of gold, the number of atoms, and the corresponding number of electrons involved in the charge calculation.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to determine the number of electrons in a gold atom and how many atoms are present in the given mass of gold. There are questions about the calculations needed to find the total number of electrons and how to relate this to the charge after removing a percentage of them.

Discussion Status

The discussion is active, with participants providing calculations and questioning each other's approaches. Some guidance has been offered regarding the calculations needed to find the net charge after removing electrons, but there is no explicit consensus on the final approach yet.

Contextual Notes

Participants are working within the constraints of a homework problem, which may limit the information they can use or the methods they can apply. There is an emphasis on understanding the atomic structure of gold and the implications of removing electrons.

Purduenub03
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I'm sure I am missing something simple here but...

Suppose a 1.72 g nugget of pure gold has zero net charge. What would be its net charge after it has 1% of its electrons removed?

So i know that an electron is 9.109 x 10^-31 kg, and has a charge of -1.602 x 10^-19C. However, how do i know the split of electrons and protons in the gold bar?

I'd assume I am trying to get to mass of electrons / mass of electron, that times the charge of an electron divided by 100?
 
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How many electrons in a Gold atom ? How many atoms in 1.72 g ?
 
79 electrons in a gold atom

1.72/196.96654 = .008732 atoms

so .008732 * .79 * 1.602 x 10 ^-19 ?
 
Okay,you're on the wrong track...

197g gold----------------------------->6.023 10^{23} atoms

1.72g gold----------------------------> x atoms

1 atom gold---------------------------> 79 electrons
x atoms gold---------------------------> y electrons


What do you get for "y"??

Daniel.
 
(1.71 / 197) * 6.023 X 10 ^23 * 79 = 4.154 x 10 ^ 23

AH!

and that divided by 100 x the charge is the answer

thank you

Ryan
 
Last edited:
Not so fast !

You've only found the number of electrons removed. Multiply this number by the charge on an electron to get the net positive charge.
 

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