I am going to University in the fall. I love to cook and bake but since I will be myself, I cannot cook the regular portions I had before. Is there a way that I can figure out the correct cooking time and temp for a recipe that I have halved? I use many kinds of meat and veggies in most any kind of cooking style (crockpot, stove, oven, etc.).
Adjusting Cooking For Smaller Portions
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A 13" cake is large enough to be a major problem -- the center just won't set correctly before the edges overcook.
You generally want to cook large cakes at a lower temperature than you'd cook a smaller cake at; they won't rise as much, but as they're typically used for stacking, a denser cake may be preferred.
There are also two gadgets that you may wish to consider when you're dealing with cakes over 10 inches:
- Baking Strips : They cool the edge of the cake, so that it cooks slower. Wilton sells them, but you can also make your own from an old towel
- Heating Core : They conduct heat to the middle of the cake, so it'll cook faster. Wilton sells them, too, but if it's not too deep of a cake, you may be able to use a flower nail. If you have a heat safe metal cup, that could work as well; I've heard of people using a cocktail shaker. (but it's important to grease it liberally, as you want what's inside to come out cleanly so it can be used to plug the hole).
I can't help with the gas mark, as I don't know the British system.
Speaking as pure theorist here, because I've never compared the saltiness of cooked chicken.
I think that there are two things you will have to think about. The first one is osmosis (water that gets soaked into the meat through cellular membranes), the second one is transport through porous media - like a sponge, the open ends of muscle fibres of your chicken soak up the liquid you put them in. What you want to do is to prevent osmosis into the chicken (because only pure water will go in through osmosis, concentrating the salt outside) and maximize absorption. I will assume that 0.9% saline is isotonic for a chicken, and I think this is a safe assumption, because veterinary saline isn't marked as species-specific. Seeing that your soup liquid is 0.27% saline, you can expect some osmosis to happen. *
Let's tackle the more interesting part first. You want more absorption to happen. The absorption is described by the Washburn formula, and you want to maximize your L.
L improves with time. Luckily, a soup is meant to be cooked for a long time anyway. But when you wonder whether to give it some more time on the stove or not, more time is probably better. Keep the temperature lowish for less evaporation, and a lid on which will drip back evaporated water.
L improves with lesser viscosity. No way to influence it in your basic recipe, but in a real soup, avoid thickening. So don't use starchy ingredients, or at least, wash them before adding.
Surface tension should be kept high. Again, this is ingredient-specific. No way to influence it in the basic recipe, but it could turn out that some vegetables are reducing your surface tension a lot - I can't think of a soup vegetable or a herb or spice which is famous for a high saponine content, but it could happen. Also, you should give your pots a finishing wash with clean water if possible - detergent and dishwasher finishing liquid reduce surface tension a lot.
Pore size. My intuition says that this should have the biggest effect in the soup case, as you probably can't influence viscosity and surface tension too much. Obviously, the bigger your holes, the more water comes through. A good way to do that is to thoroughly denature your proteins. The first and most common way for that is prolonged cooking time. Second, brining in concentrated saline (6%) and/or acid before you cook will attack the meat surface, again denaturing proteins. However, I don't know how wise it is to use this option, because some of the brine will get absorbed into the chicken, which will leave less space for broth and will increase salt content as a whole. (This assumes that you salt the broth; Brian's idea of not adding salt to the cooking water after brining has merit). Third, you can use meat from the freezer (this is a very likely reason for the mixed results you saw until now). Freezing produces ice crystals, which rupture cell walls. When you use the thawed meat in a soup, there are more holes for water to flow in.
The Washburn formula is for a single capillary. But the more capillaries you have, the more absorption you get. So, what you want to do is to cut the chicken meat perpendicularly to the muscle fibres. And cut it into many small pieces instead of a few big ones.
Now we took care of the absorption, let's look into the osmosis. You can't change the salt content of the chicken's cytoplasm. But for osmosis, you have to separate the two solutions by a semipermeable membrane (the cell wall). Poke a hole in the wall, and the osmotic gradient vanishes when the liquids mix. So everything from the third point on absorption helps you reduce osmosis too.
As for your suggestions: 1. I see no reason why slow or quick heating will change absorption. I guess the products of a Maillard reaction could clog some pores, if you sear before cooking, but it won't happen during boiling. As I said, cook slow because of evaporation. 2. The chicken shouldn't absorb salt, but salty water, see the footnote. Although, if there is a hole in my theory, this is a likely place for it. 3. I doubt it, but if you wash it, you could free eventual clogged openings. 4. Certainly, cook longer.
To summarize: Cook meat which has been frozen, cut in small pieces perpendicularly to the grain, and stew it for a long time.
* I don't see a mechanism for the chicken absorbing a higher percentage of salt than what you have in the broth. I assume that in your "normal" cases, you are left with salt content near the initial 0.27%, and in bad cases, this gets concentrated.
Update As requested in the comments, I am providing an explanation about "cutting across the fibers". Short story, meat is made up of muscles, and a muscle is made up of fibers, or bundles of bundles of cells. You can easily see them in raw meat. You want to slice across them, so their ends are open, as opposed to along.
The good, long explanation with pictures can be found on Serious Eats
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Best Answer
It is difficult to offer a general answer applicable to all recipes and all cooking methods.
In almost all situation, there is no need to change temperature (I cannot think of any exceptions off the top of my head, but I am sure others will think of a few).
The most obvious effect portion size has on cooking time is the time needed to take the food from starting temperatures (say from freezer or fridge or room temperature) to cooking temperatures. Once the food is reaches cooking temperature and if there is a need to cook it further by holding it at that temperature for a certain amount of time (for example a casserole has holding time requirement, but a piece of steak does not), this time should not change regardless of portion size.
For the same stove or oven and at the same setting, half the amount of food by weight will take half the energy to raise it to cooking temperature, a linear relationship. However, the transfer of heat into the food is strongly influenced by the shape of the food, surface area and thickness. This affects the time it takes to raise the food's temperature. This is where "it depends" matters. If you are comparing a small chicken to a large chicken, then size difference is usually accompanied by change in surface area and thickness. A 1kg chicken will take more than twice the time than a 0.5kg chicken. However, if you are cooking one piece of chicken breast instead of two pieces of the same, the heating time will be halved.
If you are making two trays of pasta bake, then cooking just one of the two trays will take half the heating time and unchanged holding time. However, if you are going from one big tray to one small tray with half the quantity, the change in geometry (thickness and surface area) will mean that heating time change is no longer a straight forward linear decrease.
In practice, doing a heat calculation will only give you a very rough idea so that you know where to aim, but you will need to test it and get an empirical relationship.
Edit: There is one more caveat. Imagine frying a piece of chicken breast in an open pan. You will likely find that adding another piece (or more) does not change cooking time noticeably. They probably all cook to the same doneness in the same duration. That happens because with a single piece, especially in a large pan, there is considerable "wasted heat". Your stove is likely putting out far more heat than there is food too cook most of the time and you end up heating up of kitchen air.