Develop A Plan To Solve The Following Problem:What Mass Of Nitrogen Is Needed To Produce 30.0 G Of Ammonia?Note: The Mole Ratio Cannot Be Used Directly In This Situation. You Do Not Need To Do The Actual Calculation Here.

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Understanding the Problem

The problem requires us to determine the mass of nitrogen needed to produce 30.0 g of ammonia. This involves understanding the chemical reaction between nitrogen and hydrogen to form ammonia. The balanced chemical equation for this reaction is:

N2 + 3H2 → 2NH3

Identifying the Key Information

  • The mass of ammonia produced is 30.0 g.
  • The balanced chemical equation shows the mole ratio between nitrogen and ammonia.
  • We need to find the mass of nitrogen required to produce 30.0 g of ammonia.

Breaking Down the Problem

To solve this problem, we need to follow these steps:

  1. Determine the molar mass of ammonia: We need to calculate the molar mass of ammonia (NH3) to find out how many moles of ammonia are produced.
  2. Calculate the number of moles of ammonia: Using the molar mass of ammonia, we can calculate the number of moles of ammonia produced from 30.0 g.
  3. Use the mole ratio to find the number of moles of nitrogen: From the balanced chemical equation, we know that 1 mole of nitrogen produces 2 moles of ammonia. We can use this mole ratio to find the number of moles of nitrogen required.
  4. Calculate the mass of nitrogen: Finally, we can calculate the mass of nitrogen required by multiplying the number of moles of nitrogen by its molar mass.

Step 1: Determine the Molar Mass of Ammonia

The molar mass of ammonia (NH3) is the sum of the atomic masses of nitrogen and hydrogen. The atomic mass of nitrogen is 14.01 g/mol, and the atomic mass of hydrogen is 1.01 g/mol. Therefore, the molar mass of ammonia is:

Molar mass of NH3 = 14.01 g/mol + 3(1.01 g/mol) = 17.04 g/mol

Step 2: Calculate the Number of Moles of Ammonia

We can calculate the number of moles of ammonia produced from 30.0 g using the formula:

Number of moles = mass of ammonia / molar mass of ammonia

Number of moles = 30.0 g / 17.04 g/mol = 1.76 mol

Step 3: Use the Mole Ratio to Find the Number of Moles of Nitrogen

From the balanced chemical equation, we know that 1 mole of nitrogen produces 2 moles of ammonia. Therefore, the number of moles of nitrogen required is:

Number of moles of nitrogen = number of moles of ammonia / 2

Number of moles of nitrogen = 1.76 mol / 2 = 0.88 mol

Step 4: Calculate the Mass of Nitrogen

Finally, we can calculate the mass of nitrogen required by multiplying the number of moles of nitrogen by its molar mass:

Mass of nitrogen = number of moles of nitrogen x molar mass of nitrogen

Mass of nitrogen = 0.88 mol x 14.01 g/mol = 12.3 g

Conclusion

In conclusion, to solve the problem of determining the mass of nitrogen needed to produce 30.0 g of ammonia, we need to follow these steps:

  1. Determine the molar mass of ammonia.
  2. Calculate the number of moles of ammonia produced.
  3. Use the mole ratio to find the number of moles of nitrogen required.
  4. Calculate the mass of nitrogen required.

By following these steps, we can determine that the mass of nitrogen needed to produce 30.0 g of ammonia is 12.3 g.

Key Takeaways

  • The molar mass of ammonia is 17.04 g/mol.
  • The number of moles of ammonia produced from 30.0 g is 1.76 mol.
  • The number of moles of nitrogen required is 0.88 mol.
  • The mass of nitrogen required is 12.3 g.

Additional Resources

For more information on chemistry and chemical reactions, please refer to the following resources:

  • Chemistry textbooks and online resources
  • Online tutorials and videos
  • Chemistry forums and discussion boards

Final Thoughts

Frequently Asked Questions

In this article, we will address some of the most common questions related to the problem of determining the mass of nitrogen needed to produce 30.0 g of ammonia.

Q: What is the balanced chemical equation for the reaction between nitrogen and hydrogen to form ammonia?

A: The balanced chemical equation for the reaction between nitrogen and hydrogen to form ammonia is:

N2 + 3H2 → 2NH3

Q: How do I calculate the molar mass of ammonia?

A: To calculate the molar mass of ammonia, you need to add the atomic masses of nitrogen and hydrogen. The atomic mass of nitrogen is 14.01 g/mol, and the atomic mass of hydrogen is 1.01 g/mol. Therefore, the molar mass of ammonia is:

Molar mass of NH3 = 14.01 g/mol + 3(1.01 g/mol) = 17.04 g/mol

Q: How do I calculate the number of moles of ammonia produced from 30.0 g?

A: To calculate the number of moles of ammonia produced from 30.0 g, you can use the formula:

Number of moles = mass of ammonia / molar mass of ammonia

Number of moles = 30.0 g / 17.04 g/mol = 1.76 mol

Q: How do I use the mole ratio to find the number of moles of nitrogen required?

A: From the balanced chemical equation, we know that 1 mole of nitrogen produces 2 moles of ammonia. Therefore, the number of moles of nitrogen required is:

Number of moles of nitrogen = number of moles of ammonia / 2

Number of moles of nitrogen = 1.76 mol / 2 = 0.88 mol

Q: How do I calculate the mass of nitrogen required?

A: To calculate the mass of nitrogen required, you can multiply the number of moles of nitrogen by its molar mass:

Mass of nitrogen = number of moles of nitrogen x molar mass of nitrogen

Mass of nitrogen = 0.88 mol x 14.01 g/mol = 12.3 g

Q: What are some common mistakes to avoid when solving this problem?

A: Some common mistakes to avoid when solving this problem include:

  • Not using the correct mole ratio between nitrogen and ammonia.
  • Not calculating the molar mass of ammonia correctly.
  • Not using the correct formula to calculate the number of moles of ammonia produced.
  • Not multiplying the number of moles of nitrogen by its molar mass to calculate the mass of nitrogen required.

Q: What are some additional resources that can help me understand this problem better?

A: Some additional resources that can help you understand this problem better include:

  • Chemistry textbooks and online resources.
  • Online tutorials and videos.
  • Chemistry forums and discussion boards.

Conclusion

In conclusion, determining the mass of nitrogen needed to produce 30.0 g of ammonia requires a thorough understanding of chemical reactions, mole ratios, and molar masses. By following the steps outlined in this article and avoiding common mistakes, you can accurately calculate the mass of nitrogen required. Remember to always use the correct formulas and mole ratios to ensure accurate results.

Key Takeaways

  • The molar mass of ammonia is 17.04 g/mol.
  • The number of moles of ammonia produced from 30.0 g is 1.76 mol.
  • The number of moles of nitrogen required is 0.88 mol.
  • The mass of nitrogen required is 12.3 g.

Final Thoughts

Solving problems in chemistry requires a thorough understanding of chemical reactions, mole ratios, and molar masses. By following the steps outlined in this article and using the correct formulas and mole ratios, you can accurately calculate the mass of nitrogen required to produce 30.0 g of ammonia. Remember to always use the correct formulas and mole ratios to ensure accurate results.