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I searched as best I could but could not find a direct answer to my question; I've seen similar questions but without the required data to be able to make the calculation. I thought this would be a simple calculation to find but apparently not.

Compressed air source is 4.46cfm @ 93psi - assume this stays constant

Tank volume is 636 cubic feet

Initial tank pressure is 0psig

Final tank pressure is 15psig

I need to calculate the time required to pressurize this 636cf tank from 0psig to 15psig when the supply of compressed air is 4.46cfm @ 93psi.

If anyone could provide me with the equation to make this calculation, I would be grateful.

Cheers