Applying the Exergy Balance: Control VolumesA compressor

Chapter 7, Problem 94P

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A compressor fitted with a water jacket and operating at steady state takes in air with a volumetric flow rate of \(900 \mathrm{~m}^3 / \mathrm{h}\) at \(22^{\circ} \mathrm{C}\), 0.95 bar and discharges air at \(317^{\circ} \mathrm{C}\), 8 bar. Cooling water enters the water jacket at \(20^{\circ} \mathrm{C}\), 100 kPa with a mass flow rate of 1400 kg/h and exits at \(30^{\circ} \mathrm{C}\) and essentially the same pressure. There is no significant heat transfer from the outer surface of the water jacket to its surroundings, and the effects of motion and gravity can be ignored. For the water-jacketed compressor, perform a full exergy accounting of the power input. Let \(T_0\) = \(20^{\circ} \mathrm{C}\), \(p_0\) = 1 atm.