Ideal gas problem after constraint removed

In summary, when a constraint is removed from an ideal gas, the volume and pressure of the gas will change, while the temperature and number of gas particles will remain constant. However, the ideal gas law is only an approximation and may not accurately predict the behavior of real gases after a constraint is removed. This is because real gases have intermolecular forces and occupy a finite volume, which can affect their behavior.
  • #1
Clara Chung
304
14
Homework Statement
Attached below
Relevant Equations
Attached below
242497

Attempt:
P_1 (initial pressure on the left section)
P_2(initial pressure on the right section)
T_f, P_f (final pressure for both sections)
P_1 (V/3) = N/2 k (3T/2)
P_2 (2V/3) = N/2 k (T/2)
P_f V/2 = N/2 k T_f
Resulting in 4 unknowns and 3 equations... Not enough to find T_f...
 
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  • #2
You forgot a constraint, namely conservation of energy.
 
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Related to Ideal gas problem after constraint removed

1. What is an ideal gas problem after constraint removed?

An ideal gas problem after constraint removed refers to a scenario where a gas is no longer confined by a container or any other external force. This allows the gas to expand and spread out freely.

2. What is the significance of studying ideal gas problems after constraint removed?

Studying ideal gas problems after constraint removed can help us understand the behavior of gases in various situations, such as in open systems or during phase changes. It also has practical applications in industries such as chemistry and engineering.

3. How do we solve ideal gas problems after constraint removed?

The ideal gas law, which states that the pressure, volume, and temperature of an ideal gas are related by the equation PV = nRT, can be used to solve ideal gas problems after constraint removed. Other thermodynamic principles and equations may also be necessary depending on the specific scenario.

4. What are some real-life examples of ideal gas problems after constraint removed?

Examples of ideal gas problems after constraint removed include a gas expanding in a vacuum, the release of a compressed gas from a container, and the evaporation of a liquid into a gas.

5. What are some limitations of ideal gas problems after constraint removed?

Ideal gas problems after constraint removed assume that the gas particles have no volume and do not interact with each other. In reality, gas particles do have volume and may interact with each other, especially at high pressures. Therefore, the ideal gas law may not accurately predict the behavior of real gases in these scenarios.

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