Wow, I've been missing all the fun!
I've done a bit of web research on this previously so maybe I can help clarify some things.
Alternators and electrical power:
The power output of an alternator is dependent on the load connected to it. Assuming an output voltage of 12V, a 12ohm resistor (or load) will draw 1 amp of current. E=IxR. Voltage = current x resistance. a 1 ohm resistor will draw 12 amps of current. The alternator will supply however much current the load requires until the maximum current output of the alternator is exceeded. At this point the voltage will start dropping. The mechanical load that an alternator puts on the engine will be roughly proportional to the output of the alternator. So if the total electrical load on the alternator is 746 Watts (1HP), the engine power needed to spin the alternator will be 746 Watts, plus whatever energy is lost due to mechanical friction internal to the alternator and resistance of the alternator windings.
HHO gas:
HHO gas is a mixture of Hydrogen (H2) and Oxygen (O2) with a molar ratio of 2:1. It's what you get when you electrolyze water. Nothing really special about it.
http://en.wikipedia.org/wiki/Oxyhydrogen
What it does (supposedly):
First of all, there is some confusion here as to what the purpose of the HHO is. IT IS NOT intended to be a gasoline/fuel replacement. You can use HHO directly as a combustion engine fuel but it is currently not feasible because it's expensive to create (energy wise) and difficult to store in sufficient quantity. The purpose of the HHO is to extend the lean burn capability of the gasoline air mixture that already goes to your engine. In theory this should allow for greater fuel economy and lower emissions.
http://en.wikipedia.org/wiki/Hydrogen_fuel_enhancement
Whether or not this will actually work will depend on how much more efficient the engine can be made with lean burn. The efficiency improvement must save more energy than what would be required to create the HHO through electrolysis. According to the research referenced in the Wikipedia article this is at least theoretically possible.
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