1 answer

Determine the COP of the gas refrigeration system shown below. The system consists of two ideal...

Question:

Determine the COP of the gas refrigeration system shown below. The system consists of two ideal compressors (C1 and C2 two id
HX-1 HX-2 С2 HX-3 C) HX-4 ОА 319
Determine the COP of the gas refrigeration system shown below. The system consists of two ideal compressors (C1 and C2 two ideal turbines (T1 and T21 and four heat exchangers (HX-1, HX-2, HX-3, and HX-4). Air is the gas of the refrigeration system. Heat is relected from air to the surroundings as it moves through HDX-1 and HX-2. Heat is accepted by air from the cooled spaces as it moves through HX-3 and HX-4. The temperatures and pressures at several states are provided below. Mass flow rate through Turbine-1 (T1) is 3 kg/s and mass flow rate through Turbine-2 (T2) is 3 kp/s. Take C 1.005 kJ/kgk and k = 1,4 T7 -35°C & P1 - 100 kPa P2 - 250 kPa P4- 250 kPa T3 -22°C & P3 - 250 kPa P7 - 250 kPa Ps - 500 kPa T6 -35°C & PS-500 kPa T8 - 12°C & P3 - 500 kPa Pg - 100 kPa
HX-1 HX-2 С2 HX-3 C) HX-4 ОА 319

Answers

Hello friend,

I have solved this problem in detail. At point 4 there is energy balance applied by point 2 & 3 and entry to turbine is point 6. I hope this solution will help you to understand. If you find it useful Rate the answer. If you have any doubt further feel free to ask in comment section.

Al out Solution - (m + m2) HX- 1R tecnols Tatowe m2 30 Wrz Walanting) Tat Art HX-3 +2P2=250cpa lqin in =3 kg/s - HX-A - l naPG=500kPa P = 250kPa To 23.5°C - 308 K.</p><p>1.4 -1 308 3 ) 14 = (2) 1.4 17 = 308 20.11.43 = 252.66 k.) (99n) - 3x x (T-17) 23x1.004 2.574 X232 - 309.221 to 2 25o = 72 = 2.5T4 X232 238 Wcreme GP (T-T,) = 3x1.005 % (209.22–232) [W, = 214.74 kW] 2 . Wce =lmWy, = n(ha-haw Assuming 6 is the Inlet state for turbine Ti W = ng Co (To-Tz) To= 35€ = 308k. WT, = 3x1.005 % (zne T7252.66K

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