Calculation for knowing duration of gas cylinder

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SUMMARY

The calculation of the duration a gas cylinder will last involves understanding the total volume, pressure, outlet pressure, and flow rate of the gas. The ideal gas law, PV = nRT, is essential for determining the number of moles of gas in the cylinder and the flow rate at specific conditions. Key factors include the geometry of the outlet, the pressure ratio between outlet and ambient pressure, and the temperature of the gas. For liquidified gas cylinders, the mass of gas remaining is crucial for long-term predictions rather than just gas pressure.

PREREQUISITES
  • Understanding of the ideal gas law (PV = nRT)
  • Knowledge of flow rate calculations
  • Familiarity with pressure ratios and their implications
  • Basic principles of thermodynamics (adiabatic vs. isothermal processes)
NEXT STEPS
  • Research gas flow rate calculations in various pressure conditions
  • Study the effects of temperature on gas behavior in cylinders
  • Learn about the differences in calculations for liquidified gas cylinders
  • Explore the impact of outlet geometry on gas flow and duration
USEFUL FOR

Engineers, physicists, and technicians involved in gas management, as well as anyone working with gas cylinders in industrial or laboratory settings.

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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