Final answer:
The rate of entropy production is 0.167 kW/°C.
Step-by-step explanation:
The rate of entropy production can be calculated using the formula:
Entropy Production = Rate of Energy Input / Temperature Difference
In this case, the rate of energy input is given as 2.5 kW and the temperature difference is 35°C - 20°C = 15°C.
Therefore, the rate of entropy production is 2.5 kW / 15°C = 0.167 kW/°C.