Final answer:
The best coefficient of performance for a refrigerator that makes liquid nitrogen at -200ºC and has heat transfer to the environment at 35.0ºC is approximately 9.00.
Step-by-step explanation:
The best coefficient of performance possible for a refrigerator can be determined using the formula:
COP = Tc / (Th - Tc)
Where COP is the coefficient of performance, Tc is the cold temperature and Th is the hot temperature. In this case, the cold temperature is -200ºC and the hot temperature is 35.0ºC. Plugging these values into the formula, we get:
COP = -200 / (35.0 - (-200))
COP ≈ 9.00
Therefore, the best coefficient of performance for the refrigerator is 9.00 (option a).