If you know the radiation levels you also know the power per m².
The output water temperature is a function of water throughput.
Water has a specific thermal capacity [Ws/(K*kg)]. This might become different in value if the coolant isn't water but something different.
Check the specification of the coolant for a dedicated value
Calculating the throughput in volume/time like Liter/minute or m³/hour, the power available defines the temperature difference between inlet and outlet.
If you normalize this to a system with 1m² area and constant coolant flow, the temperature swing linearly correlates to area needed as long as you remain below the boiling point of the coolant.