Explain the law of conservation of mass


Problem:

Food goes in, excrements come out. This seems obvious.
But it seems like the mass of the excrements is less than the one of the food.

Most people I asked answered: "There's a difference because it's transformed into energy, like heat...". I think that's bull-excrements. There's still the law of conservation of mass: our body does no nuclear reactions, or does it?

Example: Someone's on a "high protein / low carb" diet, he may ingest like 1kg of food, he isn't really productive on the toilet (it's difficult to find any fibers in those diets), he loses 500g in a day... My question is: where does the 1.5kg of matter go? Please show your work.

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Biology: Explain the law of conservation of mass
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