Now, it is of course true that if we proceed in the same way every time, we will eventually arrive at a set of amounts that work for us. However, in order to reduce the trial-and-error aspect as much as possible, it would be desirable to start more or less from first principles so that we can have a better idea what we are doing, particularly when entering as-yet-uncharted territory.
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Beer style Volumes CO2
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British-style ales 1.5 - 2.0
Porter, stout 1.7 - 2.3
Belgian ales 1.9 - 2.4
European lagers 2.2 - 2.7
American ales & lagers 2.2 - 2.7
Lambic 2.4 - 2.8
Fruit lambic 3.0 - 4.5
German wheat beer 3.3 - 4.5
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Mark's guide also shows that beer that is ready to bottle, having had
CO2 bubbling through it more or less continuously, will be CO2 saturated, and that the amount of CO2 dissolved is a function of the temperature of the beer. At lower temperature, the beer can dissolve more CO2. Accordingly, we must take this into account, and prime enough only to add the appropriate number of volumes to that already present, thereby arriving at our desired value.Here is a list of the saturation values from Mark's paper. These numbers represent how many volumes of CO2 are in the beer at the listed temperatures before we add any priming sugar:
Temp Temp (degC) Vol. CO2 (degC) Vol. CO2 ------ -------- ------ -------- 0 1.7 12 1.12 2 1.6 14 1.05 4 1.5 16 0.99 6 1.4 18 0.93 8 1.3 20 0.88 10 1.2 22 0.83The reaction that produces CO2 during carbonation is one in which one mole of glucose, C6H12O6, goes to 2 moles of ethanol, CH3CH2OH, and 2 moles of CO2. A little stoichiometric algebra shows that we will add 1 volume of CO2 for every 3.7 g/L glucose added to the beer. So now that we are armed with the temperature dependence data and the amounts from this reaction, we can produce a general predictive relationship to use in our brewery.
The plot below shows how many volumes of CO2 will be produced in the finished beer by priming at the level on the x axis. Each line is labeled for the temperature of the beer being primed, and incorporates the amount of CO2 present prior to priming. We choose the carbonation level we desire, then find the line that corresponds to the beer's temperature, and finally read off the g/L priming rate that will give the desired carbonation.

Example 2. We have a pub bitter at 16°C that we want carbonated at 2 volumes. This time it requires about 3.7 g/L.
The lines on the plot above can be expressed as equations as well. To calculate the priming rate in g/L, first find (from Mark's table above) the saturation level at the temperature of the beer--let's call it v0. Then choose the volumes of CO2 that correspond to the desired carbonation level--let's call that v. Then
v - v0
Rate in g/L = -----------
0.27027
You can confirm this using the two examples given above. For Example 1, the expression gives (with v0 = 1.5 at 4°C and v = 2.75) 4.6 g/L, and for Example 2 (v0 = 0.99 at 16°C, v = 2) we have 3.7 g/L.If one is priming with sucrose, i.e. table sugar or brown sugar, it turns out that more CO2 is produced per g/L priming. I will not reproduce the graph for this case--it's just like the one above except the lines are displaced. The corresponding equation to use if priming with sucrose is:
v - v0
Rate in g/L = -----------
0.286
Conversions of all this to screwed-up-British-engineering units is left as an exercise for the reader; but the conversion from g/L to dry ounces per US gallon is:
1 g/L = 0.133 oz/US gallon
See why the metric system is better? :-}
First I placed several grams of three types of sugar in open containers for a couple of weeks, so that it could adsorb as much water as possible. I did this with brewing dextrose, plain white table sugar, and brown sugar. The white and brown sugars are both sucrose, of course. Then, I placed the vials of sugar on a hot plate set at 80°C for 24 hours to drive off the adsorbed water. I at first tried to use a drying oven set at 110°C, but this is above the melting point of dextrose, so I was forced to use the hot plate. I took no special steps to ensure that the sugar was totally dry before being exposed to the air, because this most closely mimics the situation for most brewers; and it provides a worst-case result, which is what I am after here.
The results, tabulated below, suggest that the amount of water uptake was negligible, assuming that 24 hr at 80°C is sufficient to drive it off. The amounts ranged from 0.05% by weight for white sugar to 1.2% by weight for dextrose. I conclude from this that the uncertainty on the weight of sugar from adsorbed water is well within the noise of the types of scales used by most homebrewers.
Here are the data from this experiment:
Sugar type Brown White Dextrose ---------- ----- ----- -------- Wt of sugar at start, g 1.930 3.797 2.706 Wt after 24 hours, g 1.922 3.795 2.673 Percent wt loss 0.40 0.05 1.22

