A heat engine operates between two finite reservoirs, initially at 800 and \(200 \mathrm{~K}\), respectively. The temperature of the hot reservoir falls by \(1 \mathrm{~K}\) for each \(1 \mathrm{~kJ}\) extracted from it, while the temperature of the cold reservoir rises by \(1 \mathrm{~K}\) for each \(1 \mathrm{~kJ}\) added. What is the maximum work output from the engine as the reservoir temperatures equalise? Is the equalisation temperature for maximum work a higher or lower limit of the equalisation temperature?
[200 kJ; lower]