Molar Volume of a Gas at STP

Oct 13, 2025 by wbrum.org 15 views

Introduction

Carbon is a fundamental element that plays a crucial role in various chemical reactions, including combustion. When carbon is burned completely, it reacts with oxygen to form carbon dioxide, a colorless, odorless gas. In this article, we will explore the relationship between carbon and carbon dioxide at Standard Temperature and Pressure (STP) and determine the volume of carbon dioxide gas released when 6.00 g of carbon is burned completely.

The Chemical Reaction

The combustion of carbon can be represented by the following chemical equation:

C (s) + O2 (g) → CO2 (g)

In this equation, carbon (C) reacts with oxygen gas (O2) to form carbon dioxide gas (CO2). The balanced equation indicates that one mole of carbon reacts with one mole of oxygen to produce one mole of carbon dioxide.

Molar Mass of Carbon

To determine the volume of carbon dioxide gas released, we need to calculate the number of moles of carbon burned. The molar mass of carbon is 12.01 g/mol. We can use this value to calculate the number of moles of carbon:

moles C = mass C / molar mass C moles C = 6.00 g / 12.01 g/mol moles C = 0.500 mol

Molar Volume of a Gas at STP

At STP, one mole of an ideal gas occupies a volume of 22.4 L. This value is known as the molar volume of a gas at STP. We can use this value to calculate the volume of carbon dioxide gas released:

volume CO2 = moles CO2 × molar volume volume CO2 = 0.500 mol × 22.4 L/mol volume CO2 = 11.2 L

Conclusion

In conclusion, when 6.00 g of carbon is burned completely at STP, 11.2 L of carbon dioxide gas is released. This calculation is based on the balanced chemical equation for the combustion of carbon, the molar mass of carbon, and the molar volume of a gas at STP.

Key Takeaways

The combustion of carbon can be represented by the balanced chemical equation: C (s) + O2 (g) → CO2 (g)
The molar mass of carbon is 12.01 g/mol
At STP, one mole of an ideal gas occupies a volume of 22.4 L
When 6.00 g of carbon is burned completely at STP, 11.2 L of carbon dioxide gas is released

Additional Information

The molar mass of carbon dioxide is 44.01 g/mol
The balanced chemical equation for the combustion of carbon can be used to calculate the volume of carbon dioxide gas released in other scenarios
The molar volume of a gas at STP can be used to calculate the volume of other gases released in various chemical reactions.
Frequently Asked Questions: Carbon and Carbon Dioxide at STP ================================================================

Q: What is the relationship between carbon and carbon dioxide at STP?

A: At STP, carbon (C) reacts with oxygen gas (O2) to form carbon dioxide gas (CO2). The balanced chemical equation for this reaction is: C (s) + O2 (g) → CO2 (g).

Q: What is the molar mass of carbon?

A: The molar mass of carbon is 12.01 g/mol.

Q: How do I calculate the number of moles of carbon burned?

A: To calculate the number of moles of carbon burned, you can use the following formula:

moles C = mass C / molar mass C

For example, if you have 6.00 g of carbon, the number of moles of carbon burned would be:

moles C = 6.00 g / 12.01 g/mol moles C = 0.500 mol

Q: What is the molar volume of a gas at STP?

A: At STP, one mole of an ideal gas occupies a volume of 22.4 L. This value is known as the molar volume of a gas at STP.

Q: How do I calculate the volume of carbon dioxide gas released?

A: To calculate the volume of carbon dioxide gas released, you can use the following formula:

volume CO2 = moles CO2 × molar volume

For example, if you have 0.500 mol of carbon dioxide, the volume of carbon dioxide gas released would be:

volume CO2 = 0.500 mol × 22.4 L/mol volume CO2 = 11.2 L

Q: What is the relationship between the mass of carbon burned and the volume of carbon dioxide gas released?

A: The mass of carbon burned is directly proportional to the volume of carbon dioxide gas released. This means that if you burn more carbon, you will release more carbon dioxide gas.

Q: Can I use this calculation to determine the volume of other gases released in chemical reactions?

A: Yes, you can use this calculation to determine the volume of other gases released in chemical reactions. As long as you know the molar mass of the gas and the molar volume of a gas at STP, you can use the same formula to calculate the volume of the gas released.

Q: What are some common applications of this calculation?

A: This calculation has many common applications in chemistry, including:

Calculating the volume of gases released in chemical reactions
Determining the amount of gas required for a reaction
Calculating the volume of gases produced in industrial processes
Understanding the relationship between the mass of a substance and the volume of a gas released

Q: What are some potential sources of error in this calculation?

A: Some potential sources of error in this calculation include:

Incorrect molar mass of the gas
Incorrect molar volume of a gas at STP
Incorrect calculation of the number of moles of gas released
Failure to account for the volume of the gas released at STP

Q: How can I minimize errors in this calculation?

A: To minimize errors in this calculation, you should:

Use accurate values for the molar mass of the gas and the molar volume of a gas at STP
Double-check your calculations to ensure accuracy
Use a calculator or computer program to perform calculations
Consider using a more precise method of calculation, such as using a gas law equation.