If this is relevant at all: The stove has 3 burners..
If it was sufficiently small than yes. Remember a hot air balloon is a balloon that floats because there is hot air inside it
You definitely cannot do it if you want to carry the stove aloft with it. A balloon gondola weighs about as much as a stove, but its burner produces hundreds of times more heat (maybe thousands). You may be able to make a dry cleaning bag float in the kitchen, but it'll likely catch fire so don't try it. You can buy an ultralight white gas backpacking stove that weighs less than a pound (partially fueled) and produces about as much heat as one stove burner. You may be able to make a small hot-air balloon, maybe about 5 feet in diameter, with it as the gondola. Make it out of the thinnest fabric that you can find, or a big trash bag. You may have to modify the jet for a bigger flame. Do it outside tethered and far away from flammable structures (assume it might catch on fire).
Theoretically, yes. You need to get the air heated to about 200 degrees F. In reality the air would cool off or leak out faster than you could heat it up. Hot air balloon burners put out 10 million BTUs of heat. If you interested in this kind of low heat ballooning. Check out solar balloons. They are very light balloons that are heated only by the Sun. There are some stuff about this on YouTube as well as the web.
No, a stove would be too heavy and not produce enough heat to lift the added weight.
It would be way too heavy to work and not sure if it would have enough power too shoot the flames up into the ballon
