Final answer:
The second law efficiency of the compressor can't be calculated without additional thermodynamic data such as specific heat capacities or the minimal reversible work. It is the ratio of the minimal work to the actual work input and reflects the potential versus actual performance.
The correct answer is A.
Step-by-step explanation:
The question is about calculating the second law efficiency of an air compressor that compresses air to a higher pressure and temperature while consuming a certain amount of power.
The second law efficiency (η_{II}) is the ratio of the minimal work to the actual work input, which can also be interpreted as the ratio of the actual coefficient of performance (COP) of a real heat pump or refrigerator to the COP of a reversible one (Carnot COP) at the same temperatures.
In order to calculate the second law efficiency of the compressor, we would need the values for the minimal work that could be done during the process and compare it with the actual work input of 100 kW. The minimal or ideal work is typically calculated using the concept of a reversible process, where entropy remains constant, and using the temperatures and pressures provided.
The actual calculation of these values would require the use of thermodynamic equations and possibly specific heat capacities, which are not provided in the question. Without this additional information, we cannot perform an exact calculation and therefore cannot determine the second law efficiency.
Nevertheless, an example calculation might involve the use of entropy changes and the Carnot efficiency, which is the efficiency of an ideal, reversible engine operating between two reservoirs. The formula for the second law efficiency in terms of temperature could be expressed as η_{II} = (T_{low} / (T_{high} - T_{low})) where T_low and T_high are the absolute temperatures of the cold and hot reservoirs respectively.