Discussion Overview
The discussion revolves around calculating the time required for a gas to fill an empty vessel connected to a continuous supply pipeline at a specific pressure. The scope includes theoretical considerations and practical parameters needed for the calculation.
Discussion Character
- Exploratory
- Technical explanation
- Homework-related
Main Points Raised
- One participant asks how to calculate the time required to fill the vessel completely with gas at pressure P.
- Another participant requests more information about what has been attempted and where the original poster is stuck.
- It is noted that insufficient parameters have been provided to perform the calculation accurately.
- A participant suggests that the calculation can only be done approximately and lists necessary parameters: cross-sectional area of the pipe (A), volume of the vessel (V), atomic mass of the gas (M), and final temperature (T).
- The momentum flux of the gas at the outlet of the pipe is described as P*A, and dividing by atomic mass yields particle flux.
- Using the ideal gas law, one can estimate the number of particles in the vessel at temperature T and pressure P, which can inform the time calculation.
- It is mentioned that the particle flux may decrease as the vessel fills, and that mixing may not occur quickly enough to maintain a well-defined pressure or temperature initially.
- A suggestion is made to multiply the result by a factor of e for approximation purposes.
Areas of Agreement / Disagreement
Participants do not reach a consensus, as there are multiple competing views regarding the parameters needed and the method of calculation. The discussion remains unresolved with various approaches proposed.
Contextual Notes
Limitations include the need for specific parameters that have not been provided, as well as assumptions about the behavior of gas flow and mixing within the vessel.
