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How can you calculate how fast oxygen levels will fall and carbon dioxide will rise per person in a sealed room of a certain volume, and what levels of each will likely cause death?

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Carbon dioxide is the limit. The maximum concentration is known.

 

Please check: I have in mind a mole proportion of 3.5% dioxide in the air breathed out, so this would be one absolute maximum proportion in the air breathed in.

 

The throughput of carbon dioxide per person is known as well, as a function of the activity. This can be converted from and to the power (mostly heat) produced by this person if the proportion of C, H, O in the food is known; I'd take a sugar as a typical composition of usable food components, in a first approximation.

 

Sports medicine uses to measure the dioxide output to evaluate the power produced.

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