Approximately how quickly will the temperate increase per second with an adult at rest inside a perfectly insulated room of say 100 ft3? I get about 1.6 degrees per minute, others get about 2 degrees per minute, but at those rates the person inside would be boiling water in about an hour with only his body temperature, are those rates roughly right?
This is the formula I'm using: ΔT = energy/((mass)(specific_heat))
Using about 100W for the person's energy output * 60 seconds. The aproximate mass of air in 100ft3 is 3661.1 grams. The specifiv heat of air is 1.01 J/g C.
ΔT = 100*60/(3661.1*1.01) = 1.622 deg/min
If that's right then the temperature would rise from 0 to 97 degrees celsius in about an hour, is that possible?