How Many Moles Of $Fe_2S_3$ Would Be Produced From The Complete Reaction Of 449 G Of $FeBr_3$?$\[ 2FeBr_3 + 3Na_2S \rightarrow Fe_2S_3 + 6NaBr \\][?] Moles Of $Fe_2S_3$

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How Many Moles of Fe2S3 Would Be Produced from the Complete Reaction of 449 g of FeBr3?

Understanding the Chemical Reaction

The given chemical reaction is: 2FeBr3 + 3Na2S → Fe2S3 + 6NaBr. This reaction involves the combination of iron(III) bromide (FeBr3) and sodium sulfide (Na2S) to produce iron(II) sulfide (Fe2S3) and sodium bromide (NaBr). To determine the number of moles of Fe2S3 produced from the complete reaction of 449 g of FeBr3, we need to follow a step-by-step approach.

Step 1: Calculate the Molar Mass of FeBr3

The molar mass of FeBr3 is calculated by adding the atomic masses of iron (Fe), bromine (Br), and the three bromine atoms. The atomic mass of Fe is 55.85 g/mol, and the atomic mass of Br is 79.90 g/mol. Therefore, the molar mass of FeBr3 is:

55.85 g/mol (Fe) + 3 × 79.90 g/mol (Br) = 55.85 g/mol + 239.70 g/mol = 295.55 g/mol

Step 2: Calculate the Number of Moles of FeBr3

To calculate the number of moles of FeBr3, we divide the given mass of FeBr3 (449 g) by its molar mass (295.55 g/mol):

moles FeBr3 = mass FeBr3 / molar mass FeBr3 moles FeBr3 = 449 g / 295.55 g/mol moles FeBr3 = 1.52 mol

Step 3: Determine the Molar Ratio of FeBr3 to Fe2S3

From the given chemical reaction, we can see that 2 moles of FeBr3 produce 1 mole of Fe2S3. Therefore, the molar ratio of FeBr3 to Fe2S3 is 2:1.

Step 4: Calculate the Number of Moles of Fe2S3 Produced

Using the molar ratio of FeBr3 to Fe2S3, we can calculate the number of moles of Fe2S3 produced from the complete reaction of 1.52 mol of FeBr3:

moles Fe2S3 = moles FeBr3 / 2 moles Fe2S3 = 1.52 mol / 2 moles Fe2S3 = 0.76 mol

Conclusion

In conclusion, the complete reaction of 449 g of FeBr3 would produce 0.76 mol of Fe2S3. This calculation is based on the given chemical reaction and the molar masses of FeBr3 and Fe2S3.

Calculating the Mass of Fe2S3 Produced

To calculate the mass of Fe2S3 produced, we need to know its molar mass. The molar mass of Fe2S3 is calculated by adding the atomic masses of iron (Fe) and sulfur (S). The atomic mass of Fe is 55.85 g/mol, and the atomic mass of S is 32.07 g/mol. Therefore, the molar mass of Fe2S3 is:

2 × 55.85 g/mol (Fe) + 3 × 32.07 g/mol (S) = 111.70 g/mol + 96.21 g/mol = 207.91 g/mol

Now, we can calculate the mass of Fe2S3 produced by multiplying the number of moles of Fe2S3 by its molar mass:

mass Fe2S3 = moles Fe2S3 × molar mass Fe2S3 mass Fe2S3 = 0.76 mol × 207.91 g/mol mass Fe2S3 = 158.01 g

Conclusion

In conclusion, the complete reaction of 449 g of FeBr3 would produce 0.76 mol of Fe2S3, which is equivalent to 158.01 g of Fe2S3.

Limitations and Assumptions

This calculation assumes that the reaction is complete and that there are no side reactions or impurities that affect the yield of Fe2S3. In a real-world scenario, the actual yield of Fe2S3 may be affected by various factors such as the purity of the reactants, the reaction conditions, and the presence of impurities.

Future Work

Future work could involve investigating the effects of different reaction conditions on the yield of Fe2S3, such as varying the temperature, pressure, or concentration of the reactants. Additionally, the use of different catalysts or solvents could also be explored to improve the yield and efficiency of the reaction.

References

  • [1] "Chemical Reaction Equations" by OpenStax College
  • [2] "Molar Mass" by Chemistry LibreTexts
  • [3] "Chemical Reactions" by Khan Academy
    Q&A: Understanding the Production of Fe2S3 from FeBr3

Frequently Asked Questions

We have received several questions from readers regarding the production of Fe2S3 from FeBr3. Below, we provide answers to some of the most frequently asked questions.

Q: What is the molar mass of Fe2S3?

A: The molar mass of Fe2S3 is 207.91 g/mol, which is calculated by adding the atomic masses of iron (Fe) and sulfur (S).

Q: How many moles of Fe2S3 are produced from the complete reaction of 449 g of FeBr3?

A: The complete reaction of 449 g of FeBr3 produces 0.76 mol of Fe2S3.

Q: What is the molar ratio of FeBr3 to Fe2S3?

A: The molar ratio of FeBr3 to Fe2S3 is 2:1, meaning that 2 moles of FeBr3 produce 1 mole of Fe2S3.

Q: How is the mass of Fe2S3 produced calculated?

A: The mass of Fe2S3 produced is calculated by multiplying the number of moles of Fe2S3 by its molar mass.

Q: What are some limitations and assumptions of this calculation?

A: This calculation assumes that the reaction is complete and that there are no side reactions or impurities that affect the yield of Fe2S3. In a real-world scenario, the actual yield of Fe2S3 may be affected by various factors such as the purity of the reactants, the reaction conditions, and the presence of impurities.

Q: What are some potential future directions for this research?

A: Future work could involve investigating the effects of different reaction conditions on the yield of Fe2S3, such as varying the temperature, pressure, or concentration of the reactants. Additionally, the use of different catalysts or solvents could also be explored to improve the yield and efficiency of the reaction.

Q: What are some potential applications of Fe2S3?

A: Fe2S3 has several potential applications, including its use as a semiconductor material, a catalyst, and a pigment. It is also used in the production of other compounds, such as iron(II) sulfide.

Q: How can I calculate the molar mass of a compound?

A: To calculate the molar mass of a compound, you need to add the atomic masses of all the elements present in the compound. You can find the atomic masses of elements in a periodic table or online resources.

Q: How can I determine the molar ratio of two compounds?

A: To determine the molar ratio of two compounds, you need to examine the chemical equation that describes the reaction between the two compounds. The molar ratio is usually indicated by a coefficient in front of one of the compounds.

Q: What are some common mistakes to avoid when calculating the mass of a compound?

A: Some common mistakes to avoid when calculating the mass of a compound include:

  • Not using the correct molar mass of the compound
  • Not using the correct number of moles of the compound
  • Not multiplying the number of moles by the molar mass
  • Not considering the presence of impurities or side reactions

Conclusion

We hope that this Q&A article has provided you with a better understanding of the production of Fe2S3 from FeBr3. If you have any further questions or concerns, please do not hesitate to contact us.