How can I calculate the volume of leaked gas in a leak testing project?

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SUMMARY

The discussion focuses on calculating the volume of nitrogen leaking through a valve in a leak testing project. The upstream pressure is 4000 psi, while the downstream pressure after one hour is 4 psi in a contained volume of 100 ft³. By applying the ideal gas law, one can determine the mass of nitrogen that has leaked from Side A to Side B, given the fixed volume and pressure conditions. The assumption of temperature is crucial for accurate calculations.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of pressure measurement units (psi)
  • Familiarity with basic thermodynamics concepts
  • Experience with leak testing methodologies
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Engineers, leak testing specialists, and professionals involved in gas system diagnostics will benefit from this discussion, particularly those focused on calculating gas volumes in high-pressure systems.

OffshoreEng
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Hi,
I am working on a leak testing project in which i have a leaking valve and I am trying to determine the volume of nitrogen leaking through the valve.

Side A (upstream of valve) starts at 4000psi with an unknown volume. Side B (downstream of valve) starts at 0psi with a pressure contained volume of 100ft^3. After 1 hour, Side B now has 4psi. How can I calculate the volume of air that leaked through the valve from Side A to Side B?

I have attached a visual for a better understanding.

Thank you for your help.
 

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You've got a fixed volume with a certain pressure inside. By making a reasonable assumption about the temperature of the gas inside, you can use the ideal gas law to calculate the mass of air (nitrogen?) which has leaked into Side B.
 

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