Calculation for knowing duration of gas cylinder

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Discussion Overview

The discussion revolves around calculating the duration a gas cylinder will last based on its volume, pressure, outlet pressure, and flow rate. It also explores variations in calculations when dealing with liquidified gas cylinders, considering factors such as temperature and outlet geometry.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Exploratory

Main Points Raised

  • One participant suggests using the ideal gas law (PV = nRT) to determine the number of moles of gas in the cylinder and the flow rate to calculate how long the gas will last.
  • Another participant emphasizes the importance of knowing the outlet geometry and the pressure ratio between outlet and ambient pressure, as well as the temperature of the gas, which can affect the complexity of the problem.
  • A later reply notes that for liquidified gas cylinders, the mass of gas remaining is a more reliable indicator for predicting duration than gas pressure alone, and weighing the cylinder or checking the tare mark is necessary for accurate measurements.

Areas of Agreement / Disagreement

Participants present multiple competing views on the factors influencing the duration of gas cylinders, with no consensus reached on a single method or approach.

Contextual Notes

Assumptions regarding temperature constancy, adiabatic conditions, and the specific geometry of the outlet are not fully resolved, which may affect the calculations.

Who May Find This Useful

This discussion may be useful for individuals interested in gas dynamics, engineering applications involving gas cylinders, or those seeking to understand the factors affecting gas flow and duration in practical scenarios.

Rahul Das Gupta
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I know the total volume of a gas cylinder, the pressure in it, and the outlet pressure that needs to be maintained. The flow rate is also known. How should I calculate the total duration the cylinder will last? Also, what should vary if the cylinder is a liquidified gas cylinder?
 
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PV = nRT

Knowing the flow rate at some given pressure and temperature you should know the number of moles of gas leaving the cylinder per second ( or minute or hour, what ever unit of time your flow rate is in). Also, you know the number of moles of gas in the cylinder if given the initial temperature, volume, and pressure of the gas.

If stuck on a problem like this write down the equation you are likely to use and then write down what you know.
 
The answer here depends on a few things. For starters, you need to know the geometry of the outlet and the pressure ratio of the outlet pressure to ambient pressure. You also will need to know the temperature of the gas in the bottle (and decide whether or not you want to assume it is constant or assume the system is adiabatic, etc.). Depending on the assumptions and operating parameters, this can be a very simple problem or a very complicated one.
 
Welcome to PF.
Rahul Das Gupta said:
Also, what should vary if the cylinder is a liquidified gas cylinder?
Only the mass of gas remaining will give you a longer term prediction of empty than will gas pressure.
You will need to weigh the empty cylinder or read the tare mark to know where zero will be.
 

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