That, forgetting losses, is pure physics. So Wikipedia is where you go. If somebody complains to me that their electric shower isn’t working properly, this is what I use:
Power (kW) = Flow Rate (l/s) × Temp.Rise (°C) × 4.2
Why might you need a c.t? That’s only needed if you’re interested in efficiency.
I’d say that would be extremely difficult, because the losses will depend on the air temperature, wind speed and the surface areas - which will lose heat at different rates depending on whether it’s the water surface, the pool sides or pool bottom. And if the losses equate to the heat input at a temperature less than 30°C, that’s the top temperature you can reach.
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