Calculate The Mass Of Ammonia { NH_3 } That Contains A Million ${ 1.00 × 10 6 1.00 \times 10^6 1.00 × 1 0 6 }$ Hydrogen Atoms.Be Sure Your Answer Has A Unit Symbol If Necessary, And Round It To 3 Significant Digits.

Introduction

In this article, we will explore the concept of calculating the mass of ammonia ($NH_3$) that contains a million hydrogen atoms. This problem requires a deep understanding of atomic mass, molecular structure, and significant figures. We will break down the problem step by step, using the atomic masses of nitrogen and hydrogen to calculate the mass of ammonia.

Atomic Mass and Molecular Structure

The atomic mass of nitrogen ($N$) is approximately 14.01 g/mol, and the atomic mass of hydrogen ($H$) is approximately 1.008 g/mol. The molecular structure of ammonia is $NH_3$, consisting of one nitrogen atom and three hydrogen atoms.

Calculating the Mass of Hydrogen Atoms

To calculate the mass of a million hydrogen atoms, we can use the formula:

mass = number of atoms x atomic mass

In this case, the number of atoms is $1.00 \times 10^6$ and the atomic mass of hydrogen is 1.008 g/mol.

mass = $1.00 \times 10^6$ x 1.008 g/mol

mass ≈ 1.008 x $10^6$ g/mol

Calculating the Mass of Ammonia

Now that we have calculated the mass of a million hydrogen atoms, we need to calculate the mass of ammonia. Since ammonia contains one nitrogen atom and three hydrogen atoms, we can use the atomic mass of nitrogen and the mass of hydrogen atoms to calculate the mass of ammonia.

The atomic mass of nitrogen is 14.01 g/mol, and we have calculated the mass of a million hydrogen atoms to be approximately 1.008 x $10^6$ g/mol.

mass of ammonia = mass of nitrogen + 3 x mass of hydrogen

mass of ammonia = 14.01 g/mol + 3 x 1.008 x $10^6$ g/mol

mass of ammonia ≈ 14.01 g/mol + 3.024 x $10^6$ g/mol

mass of ammonia ≈ 3.024 x $10^6$ g/mol

Rounding to 3 Significant Digits

To round the mass of ammonia to 3 significant digits, we can use the following rules:

• If the digit immediately to the right of the significant digit is less than 5, we round down.
• If the digit immediately to the right of the significant digit is 5 or greater, we round up.

In this case, the mass of ammonia is approximately 3.024 x $10^6$ g/mol. The digit immediately to the right of the significant digit is 2, which is less than 5. Therefore, we round down to 3.02 x $10^6$ g/mol.

Conclusion

In conclusion, the mass of ammonia ($NH_3$) that contains a million hydrogen atoms is approximately 3.02 x $10^6$ g/mol. This calculation requires a deep understanding of atomic mass, molecular structure, and significant figures. By following the steps outlined in this article, we can accurately calculate the mass of ammonia containing a million hydrogen atoms.

References

• CRC Handbook of Chemistry and Physics, 97th Edition
• IUPAC Compendium of Chemical Terminology, 2nd Edition

Additional Resources

• Atomic Mass Database: A comprehensive database of atomic masses
• Molecular Structure Database: A database of molecular structures and properties
• Significant Figures Calculator: A calculator for calculating significant figures
  Calculating the Mass of Ammonia Containing a Million Hydrogen Atoms: Q&A ====================================================================

Introduction

In our previous article, we explored the concept of calculating the mass of ammonia ($NH_3$) that contains a million hydrogen atoms. We broke down the problem step by step, using the atomic masses of nitrogen and hydrogen to calculate the mass of ammonia. In this article, we will answer some frequently asked questions related to this topic.

Q: What is the atomic mass of nitrogen and hydrogen?

A: The atomic mass of nitrogen ($N$) is approximately 14.01 g/mol, and the atomic mass of hydrogen ($H$) is approximately 1.008 g/mol.

Q: How do I calculate the mass of a million hydrogen atoms?

A: To calculate the mass of a million hydrogen atoms, you can use the formula:

mass = number of atoms x atomic mass

In this case, the number of atoms is $1.00 \times 10^6$ and the atomic mass of hydrogen is 1.008 g/mol.

mass = $1.00 \times 10^6$ x 1.008 g/mol

mass ≈ 1.008 x $10^6$ g/mol

Q: How do I calculate the mass of ammonia?

A: To calculate the mass of ammonia, you need to calculate the mass of nitrogen and the mass of hydrogen atoms. The atomic mass of nitrogen is 14.01 g/mol, and we have calculated the mass of a million hydrogen atoms to be approximately 1.008 x $10^6$ g/mol.

mass of ammonia = mass of nitrogen + 3 x mass of hydrogen

mass of ammonia = 14.01 g/mol + 3 x 1.008 x $10^6$ g/mol

mass of ammonia ≈ 14.01 g/mol + 3.024 x $10^6$ g/mol

mass of ammonia ≈ 3.024 x $10^6$ g/mol

Q: How do I round the mass of ammonia to 3 significant digits?

A: To round the mass of ammonia to 3 significant digits, you can use the following rules:

• If the digit immediately to the right of the significant digit is less than 5, you round down.
• If the digit immediately to the right of the significant digit is 5 or greater, you round up.

In this case, the mass of ammonia is approximately 3.024 x $10^6$ g/mol. The digit immediately to the right of the significant digit is 2, which is less than 5. Therefore, you round down to 3.02 x $10^6$ g/mol.

Q: What is the significance of significant figures in this calculation?

A: Significant figures are a way to express the precision of a measurement or calculation. In this case, we are calculating the mass of ammonia to 3 significant digits, which means that our answer is accurate to within 0.01% of the true value.

Q: Can I use this calculation for other molecules?

A: Yes, you can use this calculation for other molecules by substituting the atomic masses of the elements in the molecule. For example, if you want to calculate the mass of water ($H_2O$), you would use the atomic masses of hydrogen and oxygen.

Conclusion

In conclusion, calculating the mass of ammonia containing a million hydrogen atoms requires a deep understanding of atomic mass, molecular structure, and significant figures. By following the steps outlined in this article and answering the frequently asked questions, you can accurately calculate the mass of ammonia containing a million hydrogen atoms.

References

• CRC Handbook of Chemistry and Physics, 97th Edition
• IUPAC Compendium of Chemical Terminology, 2nd Edition

Additional Resources

• Atomic Mass Database: A comprehensive database of atomic masses
• Molecular Structure Database: A database of molecular structures and properties
• Significant Figures Calculator: A calculator for calculating significant figures