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Classic Pressure Decay

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I am trying to understand an equation that I found in an old document concerning pressure decay of a sealed assembly. The assembly is pressurized and over time decays to 1 atmosphere ambient pressure.
The equation P = (P1-P0)e(-(A/V)t) + P0 is used but not all the terms are defined

P = pressure at time t in psia
P1 = starting pressure in psia
P0 = ambient pressure in psia
t = time in hours

I have assumed V = assembly volume in cubic inches

The A/V term in the exponent is referred to as a time constant. I can use the equation for my data analysis but would like a better understanding of "A". Its units appear to be volume over time and is related to leak rate.

Hoping someone can shed some light. Thanks
Jackstraw

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