The Gasification Of Coal Is A Method Of Producing Methane By The Following Reaction:${ C(s) + 2 H_2(g) \longrightarrow CH_4(g) \quad \Delta H=? }$Find { \Delta H$}$ Using The Enthalpy Changes In The Following Combustion

Introduction

Coal gasification is a process that converts coal into a synthesis gas, which is a mixture of carbon monoxide and hydrogen. This synthesis gas can be used to produce a variety of products, including methane, methanol, and ammonia. In this article, we will focus on the gasification of coal to produce methane, which is a highly valuable fuel.

The Gasification Reaction

The gasification of coal to produce methane is a complex process that involves several steps. However, the overall reaction can be represented by the following equation:

${ C(s) + 2 H_2(g) \longrightarrow CH_4(g) \quad \Delta H=? }$

This reaction involves the combination of carbon (C) and hydrogen gas (H2) to form methane (CH4). The question mark in the equation represents the unknown enthalpy change (${\Delta H}$) for this reaction.

Finding the Enthalpy Change

To find the enthalpy change for this reaction, we need to use the enthalpy changes for the combustion reactions of carbon and hydrogen gas. The combustion reactions are:

${ C(s) + O_2(g) \longrightarrow CO_2(g) \quad \Delta H=-393.5 \, kJ/mol }$

${ H_2(g) + \frac{1}{2} O_2(g) \longrightarrow H_2O(l) \quad \Delta H=-285.8 \, kJ/mol }$

We can use these reactions to find the enthalpy change for the gasification reaction by reversing the combustion reactions and adding them to the gasification reaction.

Reversing the Combustion Reactions

To reverse the combustion reactions, we need to change the sign of the enthalpy change. This is because the reverse reaction has the opposite sign of the original reaction.

${ C(s) + O_2(g) \longrightarrow CO_2(g) \quad \Delta H=+393.5 \, kJ/mol }$

${ H_2(g) + \frac{1}{2} O_2(g) \longrightarrow H_2O(l) \quad \Delta H=+285.8 \, kJ/mol }$

Adding the Reversed Combustion Reactions

Now, we can add the reversed combustion reactions to the gasification reaction to get:

${ C(s) + 2 H_2(g) \longrightarrow CH_4(g) \quad \Delta H=? }$

${ C(s) + O_2(g) \longrightarrow CO_2(g) \quad \Delta H=+393.5 \, kJ/mol }$

${ H_2(g) + \frac{1}{2} O_2(g) \longrightarrow H_2O(l) \quad \Delta H=+285.8 \, kJ/mol }$

${ CO_2(g) + 4 H_2O(l) \longrightarrow CH_4(g) + 2 H_2O(g) \quad \Delta H=? }$

Finding the Enthalpy Change for the Gasification Reaction

To find the enthalpy change for the gasification reaction, we need to subtract the enthalpy changes of the reversed combustion reactions from the enthalpy change of the gasification reaction.

${ \Delta H = \Delta H_{gasification} - \Delta H_{combustion} }$

${ \Delta H = \Delta H_{gasification} - (+393.5 \, kJ/mol + +285.8 \, kJ/mol) }$

${ \Delta H = \Delta H_{gasification} - +679.3 \, kJ/mol }$

The Enthalpy Change for the Gasification Reaction

The enthalpy change for the gasification reaction is:

${ \Delta H = - 679.3 \, kJ/mol }$

This means that the gasification reaction is exothermic, releasing 679.3 kJ of energy per mole of methane produced.

Conclusion

In this article, we have discussed the gasification of coal to produce methane. We have used the enthalpy changes for the combustion reactions of carbon and hydrogen gas to find the enthalpy change for the gasification reaction. The result shows that the gasification reaction is exothermic, releasing 679.3 kJ of energy per mole of methane produced. This is a highly valuable fuel that can be used to produce electricity, heat, and power.

References

• National Institute of Standards and Technology (NIST). (2020). Thermodynamic Properties of Organic Compounds. Retrieved from https://webbook.nist.gov/chemistry/
• Lide, D. R. (2005). CRC Handbook of Chemistry and Physics. Boca Raton, FL: CRC Press.

Table of Contents

1. Introduction
2. The Gasification Reaction
3. Finding the Enthalpy Change
4. Reversing the Combustion Reactions
5. Adding the Reversed Combustion Reactions
6. Finding the Enthalpy Change for the Gasification Reaction
7. The Enthalpy Change for the Gasification Reaction
8. Conclusion
9. References
10. Table of Contents
    Q&A: The Gasification of Coal to Produce Methane =====================================================

Frequently Asked Questions

Q: What is coal gasification?

A: Coal gasification is a process that converts coal into a synthesis gas, which is a mixture of carbon monoxide and hydrogen. This synthesis gas can be used to produce a variety of products, including methane, methanol, and ammonia.

Q: What is the gasification reaction of coal to produce methane?

A: The gasification reaction of coal to produce methane is:

${ C(s) + 2 H_2(g) \longrightarrow CH_4(g) \quad \Delta H=? }$

Q: How do you find the enthalpy change for the gasification reaction?

A: To find the enthalpy change for the gasification reaction, you need to use the enthalpy changes for the combustion reactions of carbon and hydrogen gas. The combustion reactions are:

${ C(s) + O_2(g) \longrightarrow CO_2(g) \quad \Delta H=-393.5 \, kJ/mol }$

${ H_2(g) + \frac{1}{2} O_2(g) \longrightarrow H_2O(l) \quad \Delta H=-285.8 \, kJ/mol }$

You can use these reactions to find the enthalpy change for the gasification reaction by reversing the combustion reactions and adding them to the gasification reaction.

Q: What is the enthalpy change for the gasification reaction?

A: The enthalpy change for the gasification reaction is:

${ \Delta H = - 679.3 \, kJ/mol }$

This means that the gasification reaction is exothermic, releasing 679.3 kJ of energy per mole of methane produced.

Q: What are the applications of methane produced from coal gasification?

A: Methane produced from coal gasification can be used to produce electricity, heat, and power. It can also be used as a fuel for vehicles and as a feedstock for the production of chemicals and other products.

Q: What are the advantages of coal gasification compared to other methods of producing methane?

A: Coal gasification has several advantages compared to other methods of producing methane, including:

• Higher efficiency: Coal gasification can produce methane with a higher efficiency than other methods, such as steam methane reforming.
• Lower cost: Coal gasification can be a lower-cost method of producing methane than other methods, such as natural gas processing.
• Greater flexibility: Coal gasification can be used to produce a variety of products, including methane, methanol, and ammonia.

Q: What are the challenges associated with coal gasification?

A: Coal gasification is a complex process that involves several challenges, including:

• High temperatures: Coal gasification requires high temperatures, which can be difficult to achieve and maintain.
• High pressures: Coal gasification requires high pressures, which can be difficult to achieve and maintain.
• Corrosion: Coal gasification can be corrosive, which can damage equipment and reduce its lifespan.

Q: What is the future of coal gasification?

A: The future of coal gasification is uncertain, as it is a complex and challenging process. However, it has the potential to be a low-cost and efficient method of producing methane, which could make it an attractive option for the production of electricity, heat, and power.

Conclusion

In this article, we have discussed the gasification of coal to produce methane. We have answered frequently asked questions about the process, including how to find the enthalpy change for the gasification reaction and the applications of methane produced from coal gasification. We have also discussed the advantages and challenges associated with coal gasification and the future of the process.

References

• National Institute of Standards and Technology (NIST). (2020). Thermodynamic Properties of Organic Compounds. Retrieved from https://webbook.nist.gov/chemistry/
• Lide, D. R. (2005). CRC Handbook of Chemistry and Physics. Boca Raton, FL: CRC Press.

Table of Contents

1. Introduction
2. Frequently Asked Questions
3. Q: What is coal gasification?
4. Q: What is the gasification reaction of coal to produce methane?
5. Q: How do you find the enthalpy change for the gasification reaction?
6. Q: What is the enthalpy change for the gasification reaction?
7. Q: What are the applications of methane produced from coal gasification?
8. Q: What are the advantages of coal gasification compared to other methods of producing methane?
9. Q: What are the challenges associated with coal gasification?
10. Q: What is the future of coal gasification?
11. Conclusion
12. References
13. Table of Contents