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You probably could, but I suspect it would be more efficient to split water electrolytically.The gains are probably not worth it. In particular, the water might split at 1200C, but how would you separate the two products (H2 and O2)?
You are talking about perpetual motion machines here !! heat pumps cannot be used to increase the efficiency of the Carnot cycle!.
By far the best way to produce a small amount of Hydrogen would be electrolytically via a KER,s system.
Are there not simpler ways to utilise some of this waste heat?
IC engine [has a] very high combustion temperature 2000°K+ that allows good efficiency with an exhaust temperature of 800°K