Calculating the Number of Moles of Hydrogen

Oct 13, 2025 by wbrum.org 37 views

Propane is a widely used fuel that has the chemical formula ${$ C_3H_8 $}$ . It is composed of three carbon atoms and eight hydrogen atoms. In this article, we will explore the mole ratio of propane and determine the number of moles of hydrogen present in a sample containing a specific amount of carbon.

The Mole Ratio of Propane

The mole ratio of propane is determined by the number of moles of each element present in the molecule. In the case of propane, the mole ratio is 3:8, meaning that for every 3 moles of carbon, there are 8 moles of hydrogen.

Calculating the Number of Moles of Hydrogen

To calculate the number of moles of hydrogen present in a sample of propane, we need to know the number of moles of carbon present. Let's assume we have a sample of propane that contains 0.20 moles of ${$ C_3 $}$. We can use the mole ratio to determine the number of moles of hydrogen present.

Step 1: Determine the Number of Moles of Carbon

We are given that the sample contains 0.20 moles of ${$ C_3 $}$. This is the number of moles of carbon present in the sample.

Step 2: Use the Mole Ratio to Determine the Number of Moles of Hydrogen

The mole ratio of propane is 3:8, meaning that for every 3 moles of carbon, there are 8 moles of hydrogen. We can use this ratio to determine the number of moles of hydrogen present in the sample.

To do this, we need to multiply the number of moles of carbon by the ratio of hydrogen to carbon. In this case, we need to multiply 0.20 moles of carbon by 8/3.

Mathematical Calculation

Let's perform the mathematical calculation to determine the number of moles of hydrogen present in the sample.

Number of moles of hydrogen = (Number of moles of carbon) x (Ratio of hydrogen to carbon) = 0.20 moles x (8/3) = 0.20 moles x 2.67 = 0.53 moles

Conclusion

In conclusion, we have determined that a sample of propane containing 0.20 moles of ${$ C_3 $}$ contains 0.53 moles of ${$ H_8 $}$. This is calculated using the mole ratio of propane, which is 3:8.

Understanding the Significance of the Mole Ratio

The mole ratio of propane is a fundamental concept in chemistry that allows us to determine the number of moles of each element present in a molecule. This concept is essential in understanding the properties and behavior of propane and other chemical compounds.

Real-World Applications of the Mole Ratio

The mole ratio of propane has several real-world applications. For example, it is used in the production of propane as a fuel, where the mole ratio is used to determine the amount of propane required for a specific application.

Conclusion

In conclusion, the mole ratio of propane is a fundamental concept in chemistry that allows us to determine the number of moles of each element present in a molecule. By understanding the mole ratio, we can calculate the number of moles of hydrogen present in a sample of propane, which is essential in understanding the properties and behavior of propane and other chemical compounds.

References

Chemistry: An Atoms First Approach, by Steven S. Zumdahl
General Chemistry: Principles and Modern Applications, by Linus Pauling

Additional Resources

Khan Academy: Mole Ratio
Chemistry LibreTexts: Mole Ratio

Frequently Asked Questions

Q: What is the mole ratio of propane? A: The mole ratio of propane is 3:8, meaning that for every 3 moles of carbon, there are 8 moles of hydrogen.
Q: How do I calculate the number of moles of hydrogen present in a sample of propane? A: To calculate the number of moles of hydrogen present in a sample of propane, you need to multiply the number of moles of carbon by the ratio of hydrogen to carbon.
Propane Mole Ratio Q&A ==========================

In this article, we will continue to explore the concept of the mole ratio of propane and answer some frequently asked questions.

Q: What is the mole ratio of propane?

A: The mole ratio of propane is 3:8, meaning that for every 3 moles of carbon, there are 8 moles of hydrogen.

Q: How do I calculate the number of moles of hydrogen present in a sample of propane?

A: To calculate the number of moles of hydrogen present in a sample of propane, you need to multiply the number of moles of carbon by the ratio of hydrogen to carbon. In this case, you need to multiply the number of moles of carbon by 8/3.

Q: What is the significance of the mole ratio in propane?

A: The mole ratio of propane is a fundamental concept in chemistry that allows us to determine the number of moles of each element present in a molecule. This concept is essential in understanding the properties and behavior of propane and other chemical compounds.

Q: How do I use the mole ratio to determine the number of moles of hydrogen present in a sample of propane?

A: To use the mole ratio to determine the number of moles of hydrogen present in a sample of propane, you need to follow these steps:

Determine the number of moles of carbon present in the sample.
Multiply the number of moles of carbon by the ratio of hydrogen to carbon (8/3).
The result is the number of moles of hydrogen present in the sample.

Q: What are some real-world applications of the mole ratio in propane?

A: The mole ratio of propane has several real-world applications. For example, it is used in the production of propane as a fuel, where the mole ratio is used to determine the amount of propane required for a specific application.

Q: Can I use the mole ratio to determine the number of moles of carbon present in a sample of propane?

A: Yes, you can use the mole ratio to determine the number of moles of carbon present in a sample of propane. To do this, you need to multiply the number of moles of hydrogen by the ratio of carbon to hydrogen (3/8).

Q: What are some common mistakes to avoid when using the mole ratio in propane?

A: Some common mistakes to avoid when using the mole ratio in propane include:

Not using the correct ratio of hydrogen to carbon (8/3).
Not multiplying the number of moles of carbon by the correct ratio.
Not considering the number of moles of hydrogen present in the sample.

Q: How do I convert the mole ratio of propane to a percentage?

A: To convert the mole ratio of propane to a percentage, you need to divide the number of moles of hydrogen by the total number of moles of propane (3 + 8 = 11) and multiply by 100.

Q: Can I use the mole ratio to determine the number of moles of propane present in a sample?

A: Yes, you can use the mole ratio to determine the number of moles of propane present in a sample. To do this, you need to multiply the number of moles of carbon by the ratio of propane to carbon (3/3).

Q: What are some additional resources for learning more about the mole ratio in propane?

A: Some additional resources for learning more about the mole ratio in propane include:

Khan Academy: Mole Ratio
Chemistry LibreTexts: Mole Ratio
Chemistry: An Atoms First Approach, by Steven S. Zumdahl
General Chemistry: Principles and Modern Applications, by Linus Pauling