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Mole-atom (ExtraExercises)
Given: , atoms nole .
  1. How many mole-atoms are there in 42 gof Aluminum?
  2. How manywhatoms are there in aloms of iron?
  3. How many atoms are the re in 1.5 moles of carbon?
  4. What is the mass of 0.65 moles of copperatoms?
  5. What is the mass of alous of nitrogen?
  6. How many atoms are there in 18 g of silver?
  7. Determine the nass of atoms of lead?
  8. How many atoms are there in 0.0135 nole of Neons
  9. What is the nass of 0.0085 moles of gold?
  10. Find the rbof moles of of silicon.
    v) Knowing that the nass of 0.0282 noles of chlorine is 19 , find its molar mass.
  11. A silver necklace has a majsy 2 nog. Calculate the mbof moles contained in this rectelice, as uell as the nb of atoons.

Ask by Gonzalez Todd. in Lebanon
Jan 21,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

  1. 42 g of Aluminum: Approximately 1.56 moles.
  2. atoms of Iron: 0.0125 moles.
  3. 1.5 moles of Carbon: atoms.
  4. 0.65 moles of Copper: 41.28 g.
  5. atoms of Nitrogen: 29.12 g.
  6. 18 g of Silver: Approximately atoms.
  7. atoms of Lead: 0.215 g.
  8. 0.0135 moles of Neon: atoms.
  9. 0.0085 moles of Gold: 1.67 g.
  10. 2 g of Silicon: Approximately 0.0714 moles.
  11. Molar mass of Chlorine: 673.6 g/mol.

Solución

Let’s solve each of the problems step by step, extracting the known conditions and applying the necessary calculations.

1) How many mole-atoms are there in 42 g of Aluminum?

Known Conditions:
  • Molar mass of Aluminum ( ) = 27 g/mol
  • Mass = 42 g
Calculation:
To find the number of moles, we use the formula:
where is the number of moles, is the mass, and is the molar mass.

2) How many atoms are there in atoms of iron?

Known Conditions:
  • Number of atoms =
  • Avogadro’s number ( ) = atoms/mol
Calculation:
To find the number of moles:

3) How many atoms are there in 1.5 moles of carbon?

Known Conditions:
  • Number of moles = 1.5 moles
  • Avogadro’s number ( ) = atoms/mol
Calculation:

4) What is the mass of 0.65 moles of copper atoms?

Known Conditions:
  • Molar mass of Copper ( ) = 63.5 g/mol
  • Number of moles = 0.65 moles
Calculation:

5) What is the mass of atoms of nitrogen?

Known Conditions:
  • Number of atoms =
  • Molar mass of Nitrogen ( ) = 14 g/mol
Calculation:
First, find the number of moles:
Then, calculate the mass:

6) How many atoms are there in 18 g of silver?

Known Conditions:
  • Molar mass of Silver ( ) = 108 g/mol
  • Mass = 18 g
Calculation:
Find the number of moles:
Then, calculate the number of atoms:

7) Determine the mass of atoms of lead.

Known Conditions:
  • Number of atoms =
  • Molar mass of Lead ( ) = 207 g/mol
Calculation:
Find the number of moles:
Then, calculate the mass:

8) How many atoms are there in 0.0135 moles of Neon?

Known Conditions:
  • Number of moles = 0.0135 moles
  • Avogadro’s number ( ) = atoms/mol
Calculation:

9) What is the mass of 0.0085 moles of gold?

Known Conditions:
  • Molar mass of Gold ( ) = 197 g/mol
  • Number of moles = 0.0085 moles
Calculation:

10) Find the number of moles of 2 g of silicon.

Known Conditions:
  • Molar mass of Silicon ( ) = 28 g/mol
  • Mass = 2 g
Calculation:

11) Knowing that the mass of 0.0282 moles of chlorine is 19 g, find its molar mass.

Known Conditions:
  • Number of moles = 0.0282 moles
  • Mass = 19 g
Calculation:
[
M = \frac{19}{0.0282} \approx

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Beyond the Answer

To tackle the conversion between moles and atoms, remember that one mole of any substance contains Avogadro’s number of atoms, which is approximately . This fundamental constant allows you to seamlessly transition between grams, moles, and atomic counts. For example, knowing the molar mass of a substance enables you to calculate how many atoms are present in a given mass or how much mass you’d need for a specific number of atoms.
When solving mole-related problems, it’s crucial to avoid common pitfalls such as forgetting to convert grams to moles using the molar mass or miscalculating the number of atoms by confusing moles with masses. For instance, if asking how many moles are in 2 g of silicon, first determine the molar mass of silicon, and then apply the formula: moles = mass/molar mass. By carefully following each step, you can confidently determine the required values without slipping into confusion!

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