A 3.00 L Flexible Container Holds A Sample Of Hydrogen Gas At 153 KPa. The Pressure Increases To 203 KPa While The Temperature Remains Constant.What Will The Volume Be?A. 0.22 L B. 0.44 L C. 2.26 L D. 4.50 L
The ideal gas law is a fundamental concept in chemistry that describes the behavior of gases under various conditions. It is a mathematical equation that relates the pressure, volume, and temperature of a gas. The ideal gas law is expressed as:
PV = nRT
Where:
- P is the pressure of the gas
- V is the volume of the gas
- n is the number of moles of the gas
- R is the gas constant
- T is the temperature of the gas in Kelvin
In this article, we will use the ideal gas law to solve a problem involving a sample of hydrogen gas. We will examine how changes in pressure affect the volume of the gas, while keeping the temperature constant.
The Problem
A 3.00 L flexible container holds a sample of hydrogen gas at 153 kPa. The pressure increases to 203 kPa while the temperature remains constant. What will the volume be?
Step 1: Identify the Given Information
- Initial volume (V1) = 3.00 L
- Initial pressure (P1) = 153 kPa
- Final pressure (P2) = 203 kPa
- Temperature (T) = constant
Step 2: Apply the Ideal Gas Law
Since the temperature remains constant, we can use the combined gas law, which is a modified version of the ideal gas law:
P1V1/T = P2V2/T
We can rearrange this equation to solve for the final volume (V2):
V2 = P1V1/P2
Step 3: Plug in the Values
Now, we can plug in the given values into the equation:
V2 = (153 kPa)(3.00 L) / (203 kPa)
V2 = 2.26 L
Therefore, the final volume of the hydrogen gas will be 2.26 L.
Conclusion
In this article, we used the ideal gas law to solve a problem involving a sample of hydrogen gas. We examined how changes in pressure affect the volume of the gas, while keeping the temperature constant. By applying the combined gas law, we were able to determine the final volume of the gas.
Key Takeaways
- The ideal gas law is a fundamental concept in chemistry that describes the behavior of gases under various conditions.
- The combined gas law is a modified version of the ideal gas law that is used when the temperature remains constant.
- Changes in pressure can affect the volume of a gas, while keeping the temperature constant.
References
- Atkins, P. W. (2018). Physical chemistry. Oxford University Press.
- Chang, R. (2015). Physical chemistry for the life sciences. W.H. Freeman and Company.
Discussion Questions
- What is the ideal gas law, and how is it used to describe the behavior of gases?
- What is the combined gas law, and how is it used when the temperature remains constant?
- How do changes in pressure affect the volume of a gas, while keeping the temperature constant?
Answer Key
- The ideal gas law is a mathematical equation that relates the pressure, volume, and temperature of a gas.
- The combined gas law is a modified version of the ideal gas law that is used when the temperature remains constant.
- Changes in pressure can affect the volume of a gas, while keeping the temperature constant.
Ideal Gas Law Q&A =====================
The ideal gas law is a fundamental concept in chemistry that describes the behavior of gases under various conditions. In this article, we will answer some frequently asked questions about the ideal gas law and its applications.
Q: What is the ideal gas law?
A: The ideal gas law is a mathematical equation that relates the pressure, volume, and temperature of a gas. It is expressed as:
PV = nRT
Where:
- P is the pressure of the gas
- V is the volume of the gas
- n is the number of moles of the gas
- R is the gas constant
- T is the temperature of the gas in Kelvin
Q: What is the combined gas law?
A: The combined gas law is a modified version of the ideal gas law that is used when the temperature remains constant. It is expressed as:
P1V1/T = P2V2/T
This equation can be rearranged to solve for the final volume (V2):
V2 = P1V1/P2
Q: What is the gas constant (R)?
A: The gas constant (R) is a physical constant that relates the pressure, volume, and temperature of a gas. It is approximately equal to 8.3145 J/mol·K.
Q: What is the difference between the ideal gas law and the combined gas law?
A: The ideal gas law is a general equation that relates the pressure, volume, and temperature of a gas. The combined gas law is a modified version of the ideal gas law that is used when the temperature remains constant.
Q: How do changes in pressure affect the volume of a gas?
A: Changes in pressure can affect the volume of a gas, while keeping the temperature constant. If the pressure increases, the volume of the gas will decrease, and if the pressure decreases, the volume of the gas will increase.
Q: How do changes in temperature affect the volume of a gas?
A: Changes in temperature can affect the volume of a gas. If the temperature increases, the volume of the gas will increase, and if the temperature decreases, the volume of the gas will decrease.
Q: What is the relationship between the ideal gas law and the behavior of real gases?
A: The ideal gas law is a simplified equation that assumes that gases behave ideally. Real gases, however, do not behave ideally and exhibit deviations from the ideal gas law. These deviations can be attributed to the intermolecular forces between gas molecules.
Q: What are some common applications of the ideal gas law?
A: The ideal gas law has numerous applications in chemistry, physics, and engineering. Some common applications include:
- Calculating the volume of a gas at a given pressure and temperature
- Determining the number of moles of a gas at a given pressure and temperature
- Calculating the pressure of a gas at a given volume and temperature
- Determining the temperature of a gas at a given pressure and volume
Conclusion
The ideal gas law is a fundamental concept in chemistry that describes the behavior of gases under various conditions. In this article, we have answered some frequently asked questions about the ideal gas law and its applications. We hope that this article has provided a better understanding of the ideal gas law and its importance in chemistry and physics.
References
- Atkins, P. W. (2018). Physical chemistry. Oxford University Press.
- Chang, R. (2015). Physical chemistry for the life sciences. W.H. Freeman and Company.
Discussion Questions
- What is the ideal gas law, and how is it used to describe the behavior of gases?
- What is the combined gas law, and how is it used when the temperature remains constant?
- How do changes in pressure affect the volume of a gas, while keeping the temperature constant?
Answer Key
- The ideal gas law is a mathematical equation that relates the pressure, volume, and temperature of a gas.
- The combined gas law is a modified version of the ideal gas law that is used when the temperature remains constant.
- Changes in pressure can affect the volume of a gas, while keeping the temperature constant.