Adiabatic compressed air and energy calculations

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Homework Help Overview

The discussion revolves around a thermodynamics problem involving the adiabatic compression of air in a pump. The problem requires calculations related to the volume, temperature, and internal energy of the compressed air, as well as the subsequent thermal equilibrium with the steel cylinder of the pump.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss various methods to calculate the volume and temperature of the compressed air, with some expressing confusion over the correct application of formulas. There are attempts to clarify the relationships between pressure, volume, and temperature, as well as the use of specific heat in the context of energy transfer.

Discussion Status

The discussion is active, with participants sharing their calculations and questioning each other's reasoning. Some have provided partial solutions and are seeking verification of their methods, while others are exploring different interpretations of the problem. There is a focus on ensuring clarity in the mathematical steps taken.

Contextual Notes

Participants note the importance of assumptions, such as the initial temperature of the steel and the specific heat values, which are critical for the calculations. There is also mention of the need to ignore heat loss to the surroundings during the thermal equilibrium process.

  • #61
haruspex said:
The question statement says the air is compressed adiabatically.
Hmmm. Well, if it is truly adiabatic, then the gas can't exchange heat with the cylinder. So there is some ambiguity here. However, the version I just presented assumes that the combination of gas and cylinder is adiabatic.
 

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