I'm looking for an equation that will tell me how long it takes for two gases at two different pressures to equalize their pressures.
As a more concrete question, Container 1 has gas at pressure P1. Container 2 has the same gas at P2. There's a hole of area A connecting the two containers. How long does it take before both containers are equalized in pressure?
If we need to know the volumes and/or temperatures as well, call them V1, V2, T1, and T2. However, I'm hoping we won't need those because I'd also like to use the equation for finding the time to zero pressure, such as a decompressing spacecraft. But perhaps in that case we can use V2 = infinity?
Does it matter what the contents of the gas are? My intuition says no, as long both containers hold gases of the same molecular composition.
Sorry I can't show my work. The only thermodynamics equation I have memorized is the ideal gas law, which isn't enough here. In addition, I know virtually no fluid-dynamics equations. A google attempt brought up not much more than how to pop your ears.