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I mix the brine in a empty gallon plastic ice cream bucket, then pour it into a 2 gallon zip lock bag with what ever I'm brineing.Seal it up and pop it into either the frige or the cooler with ice.
I brine in a cooler. Put the subject into cooler then I have different sizes of ice containers ready to fill voids even bagged ice works. Not only does it save on the amount of brine solution needed but keeps the bird cold and safe in the process. Remember tho, if a bag leaks you will dilute the brine solution.
Most likely thing you will notice is a metallic taste to the meat. Try to stay away from the aluminum if you can. If that is the only thing you have big enough - line it with plastic to avoid the yucky taste.
Here's a link to check out on brining and containers.
In boating, it's called galvanic action. You are making a small battery. It's why boats/ships in the ocean have to use Zinc anodes. Your brine has salt the same a seawater. Your aluminum pot would get eaten up the same as any metal in seawater. Aluminum is one of the worst. Zinc is used as a sacrificial metal because it's worse than aluminum and will go first. Without going in to electron transfer theory here, the bottom line is don't!!!
Careful, I don't believe trash bags are food grade plastic. Also, I doubt there is much effort to keep things sterile in their manufacture, being trash bags. Some even come scented...but I guess THAT would be a obvious no no. Use a plastic food container or a giant baggie made to store food.
I use a big stainless steel pot, 16 quarts or 12 quarts. I have both from beermaking. If you're going to do very much brine, you might want to invest in one of these or a food-grade plastic (not what's available at home depot). Both are available anywhere beer-brewing supplies are sold. Stainless pots are available at walmart.