What Volume Of Gas Is Occupied By 3 Moles Of Hydrogen Gas At 303K And 0.9 Atm? (Use R = 0.082 Atm L/mol K)​

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The ideal gas law is a fundamental concept in chemistry that describes the behavior of gases under various conditions. It is expressed by the equation PV = nRT, where P is the pressure of the gas, V is the volume occupied by the gas, n is the number of moles of the gas, R is the gas constant, and T is the temperature of the gas in Kelvin.

Calculating the Volume of a Gas

In this article, we will use the ideal gas law to calculate the volume of 3 moles of hydrogen gas at a temperature of 303K and a pressure of 0.9 atm. To do this, we will rearrange the ideal gas law equation to solve for the volume (V) of the gas.

Rearranging the Ideal Gas Law Equation

The ideal gas law equation is PV = nRT. To solve for the volume (V) of the gas, we can rearrange the equation as follows:

V = nRT / P

Substituting the Given Values

Now that we have the rearranged equation, we can substitute the given values into the equation. We are given the following values:

  • n = 3 moles (number of moles of hydrogen gas)
  • R = 0.082 atm L/mol K (gas constant)
  • T = 303K (temperature of the gas in Kelvin)
  • P = 0.9 atm (pressure of the gas)

Substituting these values into the equation, we get:

V = (3 mol) (0.082 atm L/mol K) (303K) / (0.9 atm)

Solving for the Volume

Now that we have the equation set up, we can solve for the volume (V) of the gas.

V = (3 mol) (0.082 atm L/mol K) (303K) / (0.9 atm) V = 86.19 L

Conclusion

In this article, we used the ideal gas law to calculate the volume of 3 moles of hydrogen gas at a temperature of 303K and a pressure of 0.9 atm. We rearranged the ideal gas law equation to solve for the volume (V) of the gas and then substituted the given values into the equation. The result is a volume of 86.19 L.

Understanding the Significance of the Ideal Gas Law

The ideal gas law is a fundamental concept in chemistry that describes the behavior of gases under various conditions. It is a powerful tool that can be used to calculate the volume of a gas, the pressure of a gas, and the temperature of a gas. In this article, we used the ideal gas law to calculate the volume of 3 moles of hydrogen gas at a temperature of 303K and a pressure of 0.9 atm. This calculation is significant because it demonstrates the importance of the ideal gas law in chemistry.

Real-World Applications of the Ideal Gas Law

The ideal gas law has many real-world applications in chemistry and other fields. Some examples include:

  • Calculating the volume of a gas in a container
  • Determining the pressure of a gas in a container
  • Calculating the temperature of a gas in a container
  • Understanding the behavior of gases in various conditions

Limitations of the Ideal Gas Law

While the ideal gas law is a powerful tool, it has some limitations. The ideal gas law assumes that the gas is an ideal gas, which means that it does not take into account the behavior of real gases. Real gases can exhibit non-ideal behavior, such as deviations from the ideal gas law, due to intermolecular forces and other factors.

Conclusion

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 common questions about the ideal gas law.

Q: What is the ideal gas law?

A: The ideal gas law is a mathematical equation that describes the behavior of gases under various conditions. It is expressed by the equation PV = nRT, where P is the pressure of the gas, V is the volume occupied by the gas, n is the number of moles of the gas, R is the gas constant, and T is the temperature of the gas in Kelvin.

Q: What is the gas constant (R)?

A: The gas constant (R) is a mathematical constant that is used in the ideal gas law equation. It is equal to 0.0821 L atm/mol K.

Q: What is the ideal gas law used for?

A: The ideal gas law is used to calculate the volume of a gas, the pressure of a gas, and the temperature of a gas. It is also used to understand the behavior of gases in various conditions.

Q: What are some real-world applications of the ideal gas law?

A: Some real-world applications of the ideal gas law include:

  • Calculating the volume of a gas in a container
  • Determining the pressure of a gas in a container
  • Calculating the temperature of a gas in a container
  • Understanding the behavior of gases in various conditions

Q: What are some limitations of the ideal gas law?

A: The ideal gas law assumes that the gas is an ideal gas, which means that it does not take into account the behavior of real gases. Real gases can exhibit non-ideal behavior, such as deviations from the ideal gas law, due to intermolecular forces and other factors.

Q: How do I use the ideal gas law to calculate the volume of a gas?

A: To use the ideal gas law to calculate the volume of a gas, you need to know the pressure of the gas, the number of moles of the gas, and the temperature of the gas. You can then use the equation PV = nRT to calculate the volume of the gas.

Q: How do I use the ideal gas law to calculate the pressure of a gas?

A: To use the ideal gas law to calculate the pressure of a gas, you need to know the volume of the gas, the number of moles of the gas, and the temperature of the gas. You can then use the equation PV = nRT to calculate the pressure of the gas.

Q: How do I use the ideal gas law to calculate the temperature of a gas?

A: To use the ideal gas law to calculate the temperature of a gas, you need to know the pressure of the gas, the volume of the gas, and the number of moles of the gas. You can then use the equation PV = nRT to calculate the temperature of the gas.

Q: What is the difference between the ideal gas law and the real gas law?

A: The ideal gas law is a mathematical equation that describes the behavior of ideal gases, while the real gas law is a mathematical equation that describes the behavior of real gases. The real gas law takes into account the behavior of real gases, such as deviations from the ideal gas law, due to intermolecular forces and other factors.

Q: How do I convert between units in the ideal gas law?

A: To convert between units in the ideal gas law, you need to use the following conversion factors:

  • 1 atm = 101.325 kPa
  • 1 L = 0.001 m^3
  • 1 mol = 6.022 x 10^23 particles

You can use these conversion factors to convert between units in the ideal gas law.

Conclusion

In conclusion, the ideal gas law is a fundamental concept in chemistry that describes the behavior of gases under various conditions. It is a powerful tool that can be used to calculate the volume of a gas, the pressure of a gas, and the temperature of a gas. In this article, we have answered some common questions about the ideal gas law and provided some real-world applications of the ideal gas law.