Urgent [will upvote]

To prepare a high-temperature, high-pressure ammonia (NH3) gas feed stream for the industrial Ostwald process (which oxidizes ammonia to nitric acid), we need to bring a stream of ammonia, flowing at 100 mol/s, from ambient conditions (300 K, 1 atm) to (900 K, 4 atm). For ammonia, the constant-pressure heat capacity, , is approximately 4.3.

In one possible design, we first compress the ammonia from 1 atm to 4 atm with an adiabatic compressor with an isentropic efficiency of 80%, and then heat the stream isobarically to 900 K.

(a) Calculate the real shaft power required by the compressor. State any assumption(s) you need.

(b) Calculate the temperature of the output stream of the real adiabatic compressor, and the rate of heat input to bring that output stream to 900 K.

(c) To power the compressor, we extract work by running a heat engine that takes heat from a furnace maintained at 1000 K, and ejects heat to the atmosphere at 300 K. This heat engine has only 70% of the thermal efficiency of the corresponding Carnot engine operating between the same heat reservoirs. Calculate the rate of heat input to the heat engine required to power the compressor.

(d) Your boss suggests that we should invert the two steps: we heat the stream first, and then compress using the same compressor to reach the desired final state. If our goal is to minimize the work needed for compression, do you think this is a good idea? Justify your answer without detailed calculations.