So, the difference is temperature is 350
Although, given that it is raining and I have to work a lot, it should be 555.55, you know, for inspiration.
The work you do with this gadget depend on that temperature difference.
Anyway, thanks for reading what I wrote, marekk, and correct me again if I did not get your point, please.
To get a turbine exhaust temperature of 350 degrees (thus, a difference in temperature of 850 degrees) you need way more than the 4 bars to 1 bar difference in pressure I assumed.
I repeat, for Manchild's benefit, the main assumption here is the pressure you get at the engine exhaust exit. This is the key for your turbine. If you want to know how feasible is this "engine within an engine" idea of yours (or dual cycle engine, better yet) you need to find a true number for this exit pressure of the gasoline engine exhaust.
The difference between this exit pressure and the ambient pressure gives you the difference in temperature between intake and outtake of turbine, using the equation I posted: T2/T1 = (P2/P1)^(1-1/Gamma), where Gamma is around 1.4 for gas turbines.
With this difference in temperature plus the flow of air plus the specific heat capacity (Cp) you get the work done, and multiply it by an efficiency factor (isentropy), or Work = flow * Cp * Delta Temperature * efficiency, and that's, I think, the answer to your question.
Going into personal detail, I'm alone, Manchild, btw, no girls around. I weren't doing thermodynamic calculations if there were any. I'm a single parent, you know I'm entirely devoted to my kids (they are with their mom right now). Oh, and all the flag commentaries were just a joke (but I see many of those in your future...

On the other hand, thinking about this for a moment, Manchild, I think that the back pressure that the turbine would create on the engine, would diminish the efficiency of the Otto cycle. You know better than me than an Otto engine is basically an air pump, moved by gasoline. So, I think we need more calculations, friend.
Anyway, I'd gues we're talking of 100 extra HP at full power, but I'm not sure, we need an Otto engine specialist here and I'm not one.
Notice that as the pressure and temperature are related in an exponential way (ratio of exit/intake temperature is cubic root of pressure ratio, give or take: the actual exponent is a tad under 0.3) I think you would notice a huge "kick in" when giving full throttle, as in regular turbos.
I think that's the reason why gas turbines in electric generation are kept in a narrow rpm range: they are designed for the optimum energy extraction.
Actually, we need a mechanical engineer here, but you know how lazy those guys are...
