17 August 2021 2 492 Report

There is a crack/leak/hole in the end of a closed pipe 50ft from the air tank. I am trying to determine the mass flow rate of the compressed air so I can know how quickly the tank will lose pressure. I don't know what formula I need to use, as well as what values I am missing that are necessary? Looking for an estimated value. Please include all units and a source of information if possible.

Assuming the following values:

Volume: 1350 ft3

Pressure: 170 psig

Exit Pressure: 0 psig

Tube Inner Diameter: 2 inches

Tube Length: 50 feet

molar mass air: 28.97 g/mol

Temperature is constant: 300K

Orifice diameter: 0.0356 inches

Specific Volume: 1.307 ft^3/lbm

Expansion Factor: 0.4602

Discharge Coefficient: 0.61

Any links to useful information would also be appreciated

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