Mon Sep 14, 2009 6:06 pm
OK, I'll give it a try...
First off, I think that whomever said that keeping your CO2 tank outside may have been fooled by the fact that the pressure in the tank would read higher than it would if it were colder. More pressure = more CO2, right?
OK, now let's Palmerize this one and break it down to the ideal gas law: PV = NRT
P= pressure
V= volume
N= Amount of gas
R = Ideal Gas Constant
T = Temperature
and furthermore, assume that CO2 is an ideal gas. Now, if we wanted to compare 2 scenarios, we would rearrange the equation as follows:
(P1 V1) / N1 R T1 = (P2 V2) / N2 R T2
Since R is constant, we can drop it from our figuring. Likewise, since the volume is constant (the size of the tank isn't changing), we can drop that one too to get:
(P1 ) / N1 T1 = ( P2 ) / N2 T2
OK, so if we just move the tank into the fridge and don't use any CO2, N doesn't change, so you have
P1 / T1 = P2 / T2
Or
P2 = P1 * T2 / T1
As Silwewerd mentioned, the pressure and temperature are directly proportional - if you lower your temperature, your pressure will drop proportionally. If you wanted to plug in numbers to get absolutes, you will need to convert the temperature to Kelvins and the pressure to Pa.
Let's take a look at how this equations changes if we want to look at how much CO2 we use in a situation (such as carbonating or pushing beer). Let's assume that we keep the location of the tank constant (inside or outside of the fridge - so that T doesn't change)
We can re-arrange the equation as follows
P1 / N1 = P2 / N2
Or
P2 = P1 * N2 / N1
Basically what this says is that your pressure will change proportionately to how much gas you use, which should make sense. Did you notice that there is no temperature in the figuring?
So, provided that the temperature doesn't change, you can keep your CO2 tank wherever you want and use pretty much the same amount of CO2.
One thing to consider, however, is that the diffusion of CO2 into your beer is greater when the temperature is lower, so you can get carbonated beer quicker if your CO2 and more importantly, your beer, is cold.
Hope this helps.
Don Blake
BJCP Grand Master Judge
Fermenting: WitBier
on tap: Cal Common, Funky yeast experiments