The ammonia mass flow rate of the compressor of a refrigeration plant is 1 kg/s, and its inlet is at 266 K and 3 bar. The compressor outlet pressure is 16 bar while the outlet temperature is kept at 333 K thanks to a water cooling jacket. 5000 kg/hr of liquid water enters the cooling jacket at 288 K and 1.5 bar and leaves it with a temperature increase of 45 K. Pressure losses in the cooling jacket can be considered negligible and the body of the cooled compressor can be considered perfectly insulated. The environment is at T₀ = 298 K and P₀ = 1 atm. Derive the exergy balance for the cooled compressor and calculate the exergy destruction rate in the component assuming that kinetic energy effects are negligible.