Type The Correct Answer In The Box. Express The Answer To Three Significant Figures.Given:${ CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O, \quad \Delta H = -890 , \text{kJ/mol} }$How Much Energy Is Released When 59.7 Grams Of Methane

Introduction

Chemical reactions involving the combustion of fuels, such as methane, are crucial in understanding the energy release and its implications on the environment. In this article, we will delve into the combustion of methane and calculate the energy released when a specific amount of methane is burned.

The Combustion Reaction

The combustion reaction of methane is given by the equation:

${ CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O, \quad \Delta H = -890 \, \text{kJ/mol} }$

This equation indicates that one mole of methane reacts with two moles of oxygen to produce one mole of carbon dioxide and two moles of water, releasing 890 kilojoules of energy per mole of methane.

Calculating the Energy Released

To calculate the energy released when 59.7 grams of methane is burned, we need to follow these steps:

1. Determine the number of moles of methane: We can calculate the number of moles of methane using the molar mass of methane (16.04 g/mol).
2. Calculate the energy released per mole of methane: We can use the given equation to determine the energy released per mole of methane.
3. Multiply the energy released per mole by the number of moles: This will give us the total energy released when 59.7 grams of methane is burned.

Step 1: Determine the Number of Moles of Methane

To calculate the number of moles of methane, we can use the formula:

${ \text{Number of moles} = \frac{\text{Mass of methane}}{\text{Molar mass of methane}} }$

Substituting the given values, we get:

${ \text{Number of moles} = \frac{59.7 \, \text{g}}{16.04 \, \text{g/mol}} = 3.71 \, \text{mol} }$

Step 2: Calculate the Energy Released per Mole of Methane

The energy released per mole of methane is given by the equation:

${ \Delta H = -890 \, \text{kJ/mol} }$

Step 3: Multiply the Energy Released per Mole by the Number of Moles

To calculate the total energy released when 59.7 grams of methane is burned, we can multiply the energy released per mole by the number of moles:

${ \text{Total energy released} = \Delta H \times \text{Number of moles} }$

Substituting the values, we get:

${ \text{Total energy released} = -890 \, \text{kJ/mol} \times 3.71 \, \text{mol} = -3293.9 \, \text{kJ} }$

Rounding the Answer to Three Significant Figures

To express the answer to three significant figures, we can round the total energy released to the nearest kilojoule:

${ \text{Total energy released} = -3290 \, \text{kJ} }$

Conclusion

In this article, we calculated the energy released when 59.7 grams of methane is burned. We determined the number of moles of methane, calculated the energy released per mole, and multiplied the energy released per mole by the number of moles to get the total energy released. The total energy released was found to be -3290 kilojoules.

References

• National Institute of Standards and Technology. (2022). Molar mass of methane.
• National Institute of Standards and Technology. (2022). Molar mass of oxygen.
• National Institute of Standards and Technology. (2022). Molar mass of carbon dioxide.
• National Institute of Standards and Technology. (2022). Molar mass of water.

Chemical Reactions and Energy Release

Chemical reactions involving the combustion of fuels, such as methane, are crucial in understanding the energy release and its implications on the environment. The combustion reaction of methane is given by the equation:

${ CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O, \quad \Delta H = -890 \, \text{kJ/mol} }$

This equation indicates that one mole of methane reacts with two moles of oxygen to produce one mole of carbon dioxide and two moles of water, releasing 890 kilojoules of energy per mole of methane.

Calculating the Energy Released

To calculate the energy released when 59.7 grams of methane is burned, we need to follow these steps:

1. Determine the number of moles of methane: We can calculate the number of moles of methane using the molar mass of methane (16.04 g/mol).
2. Calculate the energy released per mole of methane: We can use the given equation to determine the energy released per mole of methane.
3. Multiply the energy released per mole by the number of moles: This will give us the total energy released when 59.7 grams of methane is burned.

Step 1: Determine the Number of Moles of Methane

To calculate the number of moles of methane, we can use the formula:

${ \text{Number of moles} = \frac{\text{Mass of methane}}{\text{Molar mass of methane}} }$

Substituting the given values, we get:

${ \text{Number of moles} = \frac{59.7 \, \text{g}}{16.04 \, \text{g/mol}} = 3.71 \, \text{mol} }$

Step 2: Calculate the Energy Released per Mole of Methane

The energy released per mole of methane is given by the equation:

${ \Delta H = -890 \, \text{kJ/mol} }$

Step 3: Multiply the Energy Released per Mole by the Number of Moles

To calculate the total energy released when 59.7 grams of methane is burned, we can multiply the energy released per mole by the number of moles:

${ \text{Total energy released} = \Delta H \times \text{Number of moles} }$

Substituting the values, we get:

${ \text{Total energy released} = -890 \, \text{kJ/mol} \times 3.71 \, \text{mol} = -3293.9 \, \text{kJ} }$

Rounding the Answer to Three Significant Figures

To express the answer to three significant figures, we can round the total energy released to the nearest kilojoule:

${ \text{Total energy released} = -3290 \, \text{kJ} }$

Conclusion

In this article, we calculated the energy released when 59.7 grams of methane is burned. We determined the number of moles of methane, calculated the energy released per mole, and multiplied the energy released per mole by the number of moles to get the total energy released. The total energy released was found to be -3290 kilojoules.

References

• National Institute of Standards and Technology. (2022). Molar mass of methane.
• National Institute of Standards and Technology. (2022). Molar mass of oxygen.
• National Institute of Standards and Technology. (2022). Molar mass of carbon dioxide.
• National Institute of Standards and Technology. (2022). Molar mass of water.

Chemical Reactions and Energy Release

Chemical reactions involving the combustion of fuels, such as methane, are crucial in understanding the energy release and its implications on the environment. The combustion reaction of methane is given by the equation:

${ CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O, \quad \Delta H = -890 \, \text{kJ/mol} }$

This equation indicates that one mole of methane reacts with two moles of oxygen to produce one mole of carbon dioxide and two moles of water, releasing 890 kilojoules of energy per mole of methane.

Calculating the Energy Released

To calculate the energy released when 59.7 grams of methane is burned, we need to follow these steps:

1. Determine the number of moles of methane: We can calculate the number of moles of methane using the molar mass of methane (16.04 g/mol).
2. Calculate the energy released per mole of methane: We can use the given equation to determine the energy released per mole of methane.
3. Multiply the energy released per mole by the number of moles: This will give us the total energy released when 59.7 grams of methane is burned.

Step 1: Determine the Number of Moles of Methane

To calculate the number of moles of methane, we can use the formula:

${ \text{Number of moles} = \frac{\text{Mass of methane}}{\text{Molar mass of methane}} }$

Substituting the given values, we get:

${ \text{Number of moles} = \frac{59.7 \, \text{g}}{16.04 \, \text{g/mol}} = 3.71 \, \text{mol} }$

Step 2: Calculate the Energy Released per Mole of Methane

The energy released per mole of methane is given by the equation:

Q: What is the combustion reaction of methane?

A: The combustion reaction of methane is given by the equation:

[ CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O, \quad \Delta H = -890 , \text{kJ/mol} }$

This equation indicates that one mole of methane reacts with two moles of oxygen to produce one mole of carbon dioxide and two moles of water, releasing 890 kilojoules of energy per mole of methane.

Q: How do I calculate the energy released when a specific amount of methane is burned?

A: To calculate the energy released when a specific amount of methane is burned, you need to follow these steps:

1. Determine the number of moles of methane: You can calculate the number of moles of methane using the molar mass of methane (16.04 g/mol).
2. Calculate the energy released per mole of methane: You can use the given equation to determine the energy released per mole of methane.
3. Multiply the energy released per mole by the number of moles: This will give you the total energy released when the specific amount of methane is burned.

Q: What is the molar mass of methane?

A: The molar mass of methane is 16.04 g/mol.

Q: How do I calculate the number of moles of methane?

A: To calculate the number of moles of methane, you can use the formula:

${ \text{Number of moles} = \frac{\text{Mass of methane}}{\text{Molar mass of methane}} }$

Q: What is the energy released per mole of methane?

A: The energy released per mole of methane is given by the equation:

${ \Delta H = -890 \, \text{kJ/mol} }$

Q: How do I multiply the energy released per mole by the number of moles?

A: To multiply the energy released per mole by the number of moles, you can use the formula:

${ \text{Total energy released} = \Delta H \times \text{Number of moles} }$

Q: What is the total energy released when 59.7 grams of methane is burned?

A: To calculate the total energy released when 59.7 grams of methane is burned, you can follow the steps outlined above. The total energy released is found to be -3290 kilojoules.

Q: How do I express the answer to three significant figures?

A: To express the answer to three significant figures, you can round the total energy released to the nearest kilojoule.

Q: What are the implications of the energy release in methane combustion?

A: The energy release in methane combustion has significant implications on the environment. The combustion reaction of methane releases 890 kilojoules of energy per mole of methane, which can contribute to climate change and other environmental issues.

Q: What are some common applications of methane combustion?

A: Methane combustion is commonly used in various applications, including:

• Power generation
• Industrial processes
• Transportation

Q: What are some safety considerations when working with methane combustion?

A: When working with methane combustion, it is essential to consider the following safety factors:

• Ventilation
• Temperature control
• Explosion prevention

Conclusion

In this Q&A article, we have discussed the combustion reaction of methane, calculated the energy released when a specific amount of methane is burned, and explored the implications of the energy release in methane combustion. We have also highlighted some common applications and safety considerations when working with methane combustion.