What mass of rhodium contains as many
atoms as there are iron atoms in 24 g of iron?
 Answer in units of g.

To solve this problem, we'll follow these steps:

1. **Calculate the number of moles of iron (Fe) in 24 grams:**

   The molar mass of iron (Fe) is approximately 55.85 g/mol.

   \[
   \text{Moles of Fe} = \frac{\text{Mass of Fe}}{\text{Molar mass of Fe}} = \frac{24 \text{ g}}{55.85 \text{ g/mol}} \approx 0.4297 \text{ mol}
   \]

2. **Determine the number of atoms of iron (Fe):**

   The number of atoms is given by Avogadro's number, \(6.022 \times 10^{23}\) atoms/mol.

   \[
   \text{Number of atoms of Fe} = 0.4297 \text{ mol} \times 6.022 \times 10^{23} \text{ atoms/mol} \approx 2.586 \times 10^{23} \text{ atoms}
   \]

3. **Determine the mass of rhodium (Rh) containing the same number of atoms:**

   The molar mass of rhodium (Rh) is approximately 102.91 g/mol.

   Since we want the mass of rhodium that contains the same number of atoms as the number of iron atoms calculated above, we'll first calculate the moles of rhodium:

   \[
   \text{Moles of Rh} = \frac{2.586 \times 10^{23} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mol}} \approx 0.4297 \text{ mol}
   \]

   Finally, calculate the mass of rhodium:

   \[
   \text{Mass of Rh} = \text{Moles of Rh} \times \text{Molar mass of Rh} = 0.4297 \text{ mol} \times 102.91 \text{ g/mol} \approx 44.23 \text{ g}
   \]

**Answer:** The mass of rhodium that contains as many atoms as there are iron atoms in 24 g of iron is approximately **44.23 g**.

Do you want more details or have any questions? Here are 5 related questions you might find interesting:

1. How would the mass of rhodium change if the amount of iron was doubled?
2. What is the significance of Avogadro's number in these types of calculations?
3. How does the molar mass affect the mass required to have the same number of atoms?
4. What are some common uses of rhodium in industry?
5. Can this approach be applied to elements other than rhodium and iron?

**Tip:** Always keep track of significant figures in your calculations to ensure accuracy.

What mass of rhodium contains as many atoms as there are iron atoms in 24 g of iron? Answer in units of g.

Determine the mass of rhodium that contains the same number of atoms as 24 grams of iron using stoichiometry and the mole concept. The problem involves calculating moles, applying Avogadro's number, and understanding atomic theory, suitable for students in Grades 10-12.

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