Final answer:
The rate at which heat energy is exhausted to the river is 857.1 MW.
Step-by-step explanation:
To determine the rate at which heat energy is exhausted to the river, we can use the equation:
Efficiency = (Useful output energy / Input energy) x 100%
Given that the power plant is running at 35% efficiency and generates 300 MW of electric power, we can calculate the rate at which heat energy is exhausted as follows:
Input energy = (Useful output energy / Efficiency)
Input energy = (300 MW / 0.35)
Input energy = 857.1 MW
Therefore, the rate at which heat energy is exhausted to the river is 857.1 MW.