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Cannot find the Temperature Change inside of a Tank
- Context: Graduate
- Thread starter treddie
- Start date
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Discussion Overview
The discussion revolves around the problem of determining the internal temperature change in a pressurized tank containing a real gas when additional gas is introduced at a different temperature. The focus is on the application of the Van der Waals equation of state rather than the ideal gas law, and it explores the thermodynamic implications of mixing gases under varying conditions.
Discussion Character
- Exploratory
- Technical explanation
- Conceptual clarification
- Debate/contested
- Mathematical reasoning
Main Points Raised
- One participant notes the absence of a clear solution online for the problem of temperature change in a tank with real gas, suggesting it involves complex differential equations.
- Another participant inquires about the open-system version of the first law of thermodynamics and its implications for internal energy changes in a Van der Waals gas.
- A participant expresses uncertainty about the relationship between pressure, volume, and internal energy at constant temperature, suggesting that more moles would increase internal energy but is unsure how to quantify this effect.
- There is a discussion about the mixing of gases in the tank, with one participant likening it to dye diffusion in water and questioning how quickly thorough mixing occurs.
- One participant agrees to assume that the gas in the tank reaches a uniform temperature if gas is added slowly, but acknowledges that rapid addition may lead to temperature variations within the tank.
- Another participant asserts that the internal energy of a Van der Waals gas does not change at constant temperature with volume changes, but this claim is later challenged by another participant who states that internal energy and heat capacity are independent of specific volume.
Areas of Agreement / Disagreement
Participants express differing views on the effects of specific volume on internal energy and the dynamics of gas mixing. There is no consensus on the exact relationship between temperature, pressure, and internal energy changes, and the discussion remains unresolved regarding the precise modeling of these phenomena.
Contextual Notes
Participants highlight limitations in their understanding of thermodynamic principles, particularly regarding the open-system version of the first law and the implications of specific volume on internal energy for real gases. There is also uncertainty about the time required for thorough mixing of gases in the tank.