How Many Moles Of N Are In 0.247 G Of $N_2O$?

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Understanding the Problem

To determine the number of moles of nitrogen (N) in 0.247 g of N2O, we need to follow a step-by-step approach. This involves calculating the molar mass of N2O, finding the mass of nitrogen in the compound, and then converting the mass to moles.

Calculating the Molar Mass of N2O

The molar mass of a compound is the sum of the atomic masses of its constituent elements. In this case, N2O consists of two nitrogen atoms and one oxygen atom. The atomic masses of nitrogen (N) and oxygen (O) are approximately 14.01 g/mol and 16.00 g/mol, respectively.

Molar mass of N2O = (2 x atomic mass of N) + atomic mass of O
Molar mass of N2O = (2 x 14.01 g/mol) + 16.00 g/mol
Molar mass of N2O = 28.02 g/mol + 16.00 g/mol
Molar mass of N2O = 44.02 g/mol

Finding the Mass of Nitrogen in N2O

Since N2O contains two nitrogen atoms, we need to find the mass of nitrogen in the compound. We can do this by multiplying the molar mass of nitrogen by 2.

Mass of nitrogen in N2O = (2 x atomic mass of N)
Mass of nitrogen in N2O = (2 x 14.01 g/mol)
Mass of nitrogen in N2O = 28.02 g/mol

Converting the Mass of Nitrogen to Moles

To convert the mass of nitrogen to moles, we need to divide the mass by the atomic mass of nitrogen.

Moles of nitrogen = mass of nitrogen / atomic mass of N
Moles of nitrogen = 28.02 g / 14.01 g/mol
Moles of nitrogen = 2.00 mol

Calculating the Number of Moles of N in 0.247 g of N2O

Now that we have the mass of nitrogen in N2O, we can calculate the number of moles of nitrogen in 0.247 g of the compound. We can do this by multiplying the mass of nitrogen in N2O by the ratio of the given mass to the molar mass of N2O.

Number of moles of N = (mass of N in N2O x mass of N2O given) / molar mass of N2O
Number of moles of N = (28.02 g/mol x 0.247 g) / 44.02 g/mol
Number of moles of N = 0.0069 mol

Conclusion

In this problem, we calculated the number of moles of nitrogen in 0.247 g of N2O. We first calculated the molar mass of N2O, then found the mass of nitrogen in the compound, and finally converted the mass to moles. The result shows that there are approximately 0.0069 moles of nitrogen in 0.247 g of N2O.

Frequently Asked Questions

Q: What is the molar mass of N2O? A: The molar mass of N2O is 44.02 g/mol.

Q: How many moles of nitrogen are in 1 mole of N2O? A: There are 2 moles of nitrogen in 1 mole of N2O.

Q: What is the mass of nitrogen in 1 mole of N2O? A: The mass of nitrogen in 1 mole of N2O is 28.02 g.

Additional Resources

For more information on calculating molar masses and converting between mass and moles, see the following resources:

References

Understanding the Problem

Calculating the number of moles of nitrogen (N) in a given mass of N2O can be a challenging task, especially for those who are new to chemistry. In this article, we will provide a comprehensive Q&A section to help you understand the concept and solve similar problems.

Q&A

Q: What is the molar mass of N2O?

A: The molar mass of N2O is 44.02 g/mol.

Q: How many moles of nitrogen are in 1 mole of N2O?

A: There are 2 moles of nitrogen in 1 mole of N2O.

Q: What is the mass of nitrogen in 1 mole of N2O?

A: The mass of nitrogen in 1 mole of N2O is 28.02 g.

Q: How do I calculate the number of moles of N in a given mass of N2O?

*A: To calculate the number of moles of N in a given mass of N2O, you need to follow these steps:

  1. Calculate the molar mass of N2O.
  2. Find the mass of nitrogen in the compound.
  3. Convert the mass of nitrogen to moles.

Q: What is the formula for calculating the number of moles of N in a given mass of N2O?

*A: The formula for calculating the number of moles of N in a given mass of N2O is:

Number of moles of N = (mass of N in N2O x mass of N2O given) / molar mass of N2O

Q: How do I convert the mass of nitrogen to moles?

*A: To convert the mass of nitrogen to moles, you need to divide the mass by the atomic mass of nitrogen.

Moles of nitrogen = mass of nitrogen / atomic mass of N

Q: What is the atomic mass of nitrogen?

A: The atomic mass of nitrogen is 14.01 g/mol.

Q: How do I calculate the mass of nitrogen in a given mass of N2O?

*A: To calculate the mass of nitrogen in a given mass of N2O, you need to multiply the molar mass of nitrogen by 2.

Mass of nitrogen in N2O = (2 x atomic mass of N)

Q: What is the molar mass of nitrogen?

A: The molar mass of nitrogen is 28.02 g/mol.

Q: How do I calculate the number of moles of N in a given mass of N2O using the molar mass of nitrogen?

*A: To calculate the number of moles of N in a given mass of N2O using the molar mass of nitrogen, you need to follow these steps:

  1. Calculate the mass of nitrogen in the compound.
  2. Convert the mass of nitrogen to moles.

Number of moles of N = mass of nitrogen / molar mass of N

Q: What is the formula for calculating the number of moles of N in a given mass of N2O using the molar mass of nitrogen?

*A: The formula for calculating the number of moles of N in a given mass of N2O using the molar mass of nitrogen is:

Number of moles of N = (mass of N in N2O x mass of N2O given) / (2 x atomic mass of N)

Conclusion

Calculating the number of moles of nitrogen in a given mass of N2O can be a challenging task, but with the right formula and steps, it can be done easily. In this article, we provided a comprehensive Q&A section to help you understand the concept and solve similar problems.

Frequently Asked Questions

Q: What is the molar mass of N2O? A: The molar mass of N2O is 44.02 g/mol.

Q: How many moles of nitrogen are in 1 mole of N2O? A: There are 2 moles of nitrogen in 1 mole of N2O.

Q: What is the mass of nitrogen in 1 mole of N2O? A: The mass of nitrogen in 1 mole of N2O is 28.02 g.

Additional Resources

For more information on calculating molar masses and converting between mass and moles, see the following resources:

References