A refrigerator operates at steady state with a coefficient of perfor- mance β = 2 and a power input of 2 kW. Heat is removed from the cold thermal reservoir through the refrigerator, and additional heat is rejected to the environment at an absolute temperature 300 K. (a, 5 points) Determine the rejected heat transfer rate to the environment. (b, 5 points) Determine the lowest theoretical temperature that can be achieved for the cold thermal reservoir.