Help with Heat Transfer Paper?

Thermo help! heat transfer!?

• Consider an 8-L evacuated rigid bottle that is surrounded by the atmosphere at 100 kPa and 17oC. A valve at the neck of the bottle is now opened and the atmospheric air (behaving as an ideal gas) is allowed to flow into the bottle. The air trapped in the bottle eventually reaches thermal equilibrium (uniform temperature) with the atmosphere as a result of heat transfer through the wall of the bottle. The valve remains open during the process so that the trapped air also reaches mechanical equilibrium with the atmosphere (constant pressure). Determine the net heat transfer through the wall of the bottle during this filling process.

• Answer:

  The pressurized tank has a pressure and volume. Multiply these two together and get PV, a measure of energy. Upon the release, V remains the same but P is less. Energy is neither created or lost in this process so the net heat transfer is delta P times V. This derivation is from the ideal gas law which fundamentally is a conservation of energy equation.