I'm sure you're right. BAS's arithmetic would tell us that even a microwatt would raise the temp of a small enough object to over 200 degrees - but, as you say, that certainly would not be the case if it were an isolated object in free air! Now, if we are talking adiabatic, that's a whole different matter!Really? How to you calculate this ....bearing in mind that dividing the wattage of of the iron by its surface area is flawed maths....... I suggest that 1W won't raise a piece of steel of even that kind of small surface area by anything like 200 degress in free air....It's enough to raise the temperature of 10-12mm² of the sole plate of a normal domestic clothes iron to over 200°C....1W or so isnt exactly a lot of power.
Kind Regards, John.