Finding the excess electrons per lead atom

In summary, "excess electrons" refer to the number of electrons present in an atom that exceeds its neutral state and can be measured using techniques such as X-ray photoelectron spectroscopy or Auger electron spectroscopy. The number of excess electrons per lead atom can be affected by external factors and can provide valuable information about the electronic properties of a material. It can significantly impact the properties of a material, including its electrical and thermal conductivity, magnetic properties, and chemical reactivity.
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Physicslearner500039
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Homework Statement
Excess electrons are placed on a small lead sphere with mass 8.0g so that its net charge is -3.20*10^-9 C. a. Find the number of excess electrons. b. How many excess electrons are there per lead atom? The atomic number of lead is 82, and its atomic mass is 207 g/mol.
Relevant Equations
Total Charge q = no of electrons * charge of electron. q = ne
a. This is easy with ## q = n*e ##
## 3.2 * 10^{-9} = n * 1.6*10^{-19} ##
## n = 2*10^{10} ## electrons
b. Total Lead atoms are
## \frac {8 * 6.022*10^{23}} {207} = 2.3 *10^{22} ## I used the Avogadro number.
Total electrons = ## 2.3 * 10^{22} * 82 = 1.88 * 10^{20} ##, here i multiplied with the atomic number of lead.
After that I don't understand how to calculate excess electrons per lead atom. Please advise.
 
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  • #2
You have ##n## and the total number of lead atoms ...
 
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  • #3
Ok, Thank you, understood, the no of excess electrons per lead atom = ## \frac {2*10^{10}} {2.3*10^{22}} = 8.69*10^{-13}##
 
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1. What is the definition of excess electrons per lead atom?

The excess electrons per lead atom refers to the number of electrons present in a lead atom that are not part of the atom's normal electron configuration. These electrons are typically acquired through the process of ionization or by bonding with other atoms.

2. How is the excess electrons per lead atom calculated?

The excess electrons per lead atom can be calculated by subtracting the number of valence electrons (which is 4 for lead) from the total number of electrons in the atom. For example, if a lead atom has 82 electrons, 4 of which are valence electrons, then the excess electrons would be 78.

3. Why is it important to know the excess electrons per lead atom?

Knowing the excess electrons per lead atom is important for understanding the chemical properties and reactivity of lead. It can also be used to predict how lead atoms will interact with other atoms in a chemical reaction.

4. What factors can affect the number of excess electrons per lead atom?

The number of excess electrons per lead atom can be affected by various factors, such as the atomic structure of lead, the presence of other atoms or molecules, and external forces such as temperature and pressure.

5. How does the excess electrons per lead atom impact the physical properties of lead?

The excess electrons per lead atom can affect the physical properties of lead, such as its melting and boiling points, density, and electrical conductivity. This is because the excess electrons can influence the way lead atoms bond and interact with each other.

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