Forgive me, I don’t have the knowledge to probably express what I’m wondering about correctly.
Consider an old fashioned wood kitchen stove. There’s an area where you put the wood you burn (I think this might be called the firebox) and an at least partially separated empty box where you put food you want to bake/roast, the ‘oven.’ In addition the top generally has areas you can open to set pots on to heat up, and maybe a flat surface that would act with a griddle.
So you load it with a given weight of wood, call it X pounds, and set it afire. The burning of the wood makes the air hot and the metal of the stove gets hot, too. And eventually all the hot air gets out and mixes with the general air in the room, and the heat in the metal gradually cools off after the fire goes out, also shedding that heat to the room. When everything has settled down, you’ve added, let’s say, Y units (BTUs?) of heat to your room. Right?
Now, suppose you had built the exact same fire, same amount of wood, in the stove, but this time at some point you put a pan of cake batter into the oven. So the air and metal get heated, just as before, but some of that heat gets absorbed by the cake batter. In the cake batter, chemical type stuff happens – things break down or get changed somehow – as well as physical things like the materials actually getting hot and water turning to steam and so on.
Again, eventually the wood finishes burning, and the cake gets done and is taken out and set aside to cool down. and the metal of the stove and its hot air dissipates as before.
My question is, do you still end up adding exactly Y units of heat to the room? The heat from the cake and its pan goes into the room’s air, and the steam from the cake went into the air, too. But was some of the energy actually ‘permanently’ captured by the chemical changes in the cake? IOW, you end up with only Z units of heat added to the room, with X-Z units of the heat somehow ‘stored’ in the finished cake, and maybe only recovered when you actually digest that cake later on?
Which would mean, I guess, that the cake batter started out with a certain number of calories, and baking it caused it to contain more calories?
OTOH, if Y and Z are the same, wouldn’t that mean you magically created those extra calories worth of energy for ‘free’?