NEEDED: Equation for pressure drop in a leaking container versus time



Hello,

Does anyone know the equation to calculate the pressure drop in a container
with
a small leak over a given period of time. I am certain that this is not a
linear function
since the lower the pressure gets the slower it leaks. Assume the confined
gas is
ordinary air (if that matters) and that the container is not otherwise
permeable to the
gas. Here would be the variables involved:

P(i): The initial pressure of the gas inside the container at time T = 0.
P(d): The pressure differential between the interior and the exterior of the
container.
(assume that the pressure outside the container remains constant)
V: The total internal volume of the container.
A: The total size of all physical leaks in cm^2 or any other unit of
area.
(assume that this is constant in that the leak does not get larger
over time)
T: The amount of time the container has been leaking.



Thanks in advance,

- Gordon


.



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