Question

(100 points) Figure below shows the schematic diagram of a two-stage cascade refrigeration system (also called the Economizer
State P (bar) T(°C) h (kJ/kg) s (kJ/kg-K) .X Phase description - 32 1.0 (2) 2 4 3 1.0 (4) 4 5 0 6 7 0 8
0 0
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state P(bar) T(celsius) h(KJ/Kg) s(KJ/Kg.k) x Phase Description
1 0.7704 -32 227.9 0.9456 1 saturated vapour
2s 4 NA 260 0.9456 NA superheated vapour
2 4 NA 264.79 NA NA superheated vapour
3 4 8.93 252.32 0.9145 1 saturated vapour
4s 14 NA 278 0.9145 NA superheated vapour
4 14 NA 281.837 NA NA superheated vapour
5 14 52.43 125.26 0.4453 0 saturated liquid
6 4 8.93 125.26 0.464 0.3323 liquid+ vapour mixed region
7 4 8.93 62 0.2399 0 saturated liquid
8 0.7704 -32 62 0.25769 0.2403 liq+vap mixed region

5 Py 14 bar & 45 Р so Tina 6 P2=4 bar 2s 2 3 Ti = - 320 8 m=0.12 h At i- R134 a table at T = -32°c from P = 0.7704 bar. he =At 2 0.87 Given, isentropic efficiency of compressor I has-hy hathi Moon comp 0.87 - 260 - 227.9 h2-227.9 h2=264.79 KJ kg AT=> hy=281.837 AL 5: At iybar & saturated conditions Tsat - 52.43°c S5 = 0.9453 hs - 125.26 Atsi Isenthapic process 7 hs - (25AL 7 62 hf shy st S 0.2399 At 89 Isenthapic process) hy - h8 - 62 - 32°ck 0.7704 bar wf = 9.52 / Lag = 218.37 - 0.9456 -0.90545 is m 3 T j २ y niz 1 6 ingringen 8 im S32 balance : im at a t im at t - im at 3+ in at 7 mi at 2 - m ant 6 ini =m3 m 3 3 - 7 = าท 1 > m, & inz-ingting Energy balancmichah) compressor za power consumed by compressor 1 WI 0.12( 264.79.-22 7.9) inputh I 4.4268 kW Pomeransumes by ing (hy-hy)

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