I just conducted a little experiment in the kitchen. I heated a kettle of water to boiling, inserted a food grade thermometer through the whistle hole, and held it for quite a while. The temperature stabilized at 100 C. I was careful to keep the tip of the thermometer out of the water.
Let’s talk about physics now:
To boil water, you must supply sufficient energy to raise the temperature of the water to about 100 C. Now, more energy has to be provided to push the water from liquid to gas. This is the heat of vaporization. Numerically it’s 539.55 cal/gm. That’s a considerable amount of energy.
Now, on to condensation, the heat of vaporization must be given up before water vapor can condense. The vapor condenses to 100C water, with the extra energy being absorbed by you, the heatsink.
The burn you receive from sticking your hand in steam comes not from the temperature of the gas, but the energy given up in the state transition from gas to liquid. Set your oven to 100 C and stick your hand in. I bet you could keep it there for quite some time.
So, since the vapor is 100C with loads of energy available with a state transition, why did the thermometer I used in my experiment not show a temperature above 100C–because the actual physical thermometer was coated with water at equilibrium with the vapor. Suppose a molecule of water condensed on the thermometer. It would deposit its energy into the water coating. You could consider it as raising the temperature above 100C. With this new energy, a water molecule could escape the water coating and join the vapor. The physical thermometer also conducts heat out of the kettle, into my hand. The thermometer drops below 100C, some vapor condenses, and raise the temperature back to 100C.
Ok finally, in terms of energy absorbed per some unit of time, what worse, bathing in 100C water vapor, or 100C water? Back to the stove! From a number of trials, I found that it took on average 12 seconds to raise the thermometer’s temperature from 10C to 100C when submerged in the boiling water and about 14 seconds on average for vapor only measurements. I performed four trials of each, interleaving the tests. I would have used a piece on meat on the thermometer to simulate my flesh, but I fresh out of the stuff.
Now as I mentioned in another topic, I am an expert magnet. An expert on the topic will now appear, call me an idiot, and give you another story.