Question 3 Liquid water at 100 kPa and 25°C is heated in a chamber by mixing it with superheated steam at 100

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Question 3
Liquid water at 100 kPa and 25°C is heated in a chamber by mixing it with superheated steam at 100
kPa and 300°C. Liquid water enters the mixing chamber at a rate of 3.4 kg/s, and the chamber is estimated
to lose heat to the surrounding air at 25°C at a rate of 2100 kJ/min. If the mixture leaves the mixing
chamber at 100 kPa and 75°C, determine (a) the mass flow rate of the superheated steam, (b) the exergy
destruction during this mixing process, (c) the exergy recovered during this mixing process and (d) the
second-law efficiency of the mixing chamber.
2100 kJ/min
25°C
3.4 kg/s
Mixing
chamber
→ 75°C
100 kPa
300°C →
Question 3 key answer
hị
mi
Pi
Si
Ti
X¡
[kJ/kg]
[kg/s]
[kPa]
[kJ/kg-K]
[C]
1
104.8
3.4
100
0.367
25
2
3074
0.2577
100
8.215
300
3
314
3.658
100
1.016
75
The mass flow rate of the superheated steam [kg/s]
0.2577
The exergy destruction during this mixing process [kW]
The exergy recovered during this mixing process [kW]
second-law efficiency of the mixing chamber [%]
104.2
54.17
34.2
Transcribed Image Text:Question 3 Liquid water at 100 kPa and 25°C is heated in a chamber by mixing it with superheated steam at 100 kPa and 300°C. Liquid water enters the mixing chamber at a rate of 3.4 kg/s, and the chamber is estimated to lose heat to the surrounding air at 25°C at a rate of 2100 kJ/min. If the mixture leaves the mixing chamber at 100 kPa and 75°C, determine (a) the mass flow rate of the superheated steam, (b) the exergy destruction during this mixing process, (c) the exergy recovered during this mixing process and (d) the second-law efficiency of the mixing chamber. 2100 kJ/min 25°C 3.4 kg/s Mixing chamber → 75°C 100 kPa 300°C → Question 3 key answer hị mi Pi Si Ti X¡ [kJ/kg] [kg/s] [kPa] [kJ/kg-K] [C] 1 104.8 3.4 100 0.367 25 2 3074 0.2577 100 8.215 300 3 314 3.658 100 1.016 75 The mass flow rate of the superheated steam [kg/s] 0.2577 The exergy destruction during this mixing process [kW] The exergy recovered during this mixing process [kW] second-law efficiency of the mixing chamber [%] 104.2 54.17 34.2
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