SAMSUNG refrigerator has three-stage compressor (assumed ideal gas & two stages), the theoretical work input to...

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SAMSUNG refrigerator has three-stage compressor (assumed ideal gas & two stages), the theoretical work input to a compressor (C) for isentropic compression, is given by: Cw = 12N[2D1 + 2D2] %3D Where: N= (Cp. T1)/24 D1 = [p2/p1]m, at m, = (k – 1)/k D2 = [p3/p2]m2 – 2, at m, = (k – 1)/k Cp = specific heat of the gas at constant pressure, k = ratio of specific heat at constant pressure to that at constant volume of the gas, and T= temperature at which the gas enters the compressor. 1- Identify the minimum compressor work done. 2- Find the compressor pressure p2, for which the work into the compressor should be minimized. 3- Show that if pl = 1 atm and p3 = 4 atm, the optimum p2 = 2 atm. SAMSUNG refrigerator has three-stage compressor (assumed ideal gas & two stages), the theoretical work input to a compressor (C) for isentropic compression, is given by: Cw = 12N[2D1 + 2D2] %3D Where: N= (Cp. T1)/24 D1 = [p2/p1]m, at m, = (k – 1)/k D2 = [p3/p2]m2 – 2, at m, = (k – 1)/k Cp = specific heat of the gas at constant pressure, k = ratio of specific heat at constant pressure to that at constant volume of the gas, and T= temperature at which the gas enters the compressor. 1- Identify the minimum compressor work done. 2- Find the compressor pressure p2, for which the work into the compressor should be minimized. 3- Show that if pl = 1 atm and p3 = 4 atm, the optimum p2 = 2 atm.