[pvreppin]

How long does it take for a bottle of wine to breathe once the cork has been removed (no decanting)? I can assume that "breathing" means letting the open bottle sit still so that a single complete exchange of oxygen with the anoxic contents can take place. Since wine is anoxic, how long does it take to reach equilibrium with the atmosphere?

Some information:

* Assume initial concentration of oxygen in bottle = 0
* Bottle volume = 750 mL
* Diameter of cork = 2 cm
* Assume concentration of oxygen at top of the stagnant film layer is in equilibrium with the atmosphere and it has the same solubility as seawater at 25 degrees C (Bunsen coefficient = 28 mL/L atm)
* Partial pressure of oxygen = 0.2095
* D = 2x10^-5 cm^2 sec^-1
* ΔZ = 0.01 cm
* Assume the initial exchange is constant over time
* Assume the rate of exchange is constant

That's all the information I was given. I'm assuming I will have to use the equations:

* Flux = D(Δoxygen/Δz)

and

* Residence time = Reservoir/Flux

I'm also guessing I'll have to incorporate the Bunsen coefficient and partial pressure into this as well. As it stands though, I don't even know where to start though.  Can anyone help me out?