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I takes 2.2 MJ to vaporize 1 kg of water.
1 kg of gasoline has about 46MJ of energy.
Havent had a look at all the steam table pressure graphs yet, but purely from an energetic point of view, every unit of water by mass cancels out about 0.05 units of fuel.
Energy is used up to vaporize the water. After that both n2 and h2o compete for the thermal energy and expand.
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