Superheated steam at 300°C and 1 bar (absolute) is to be fed to a heat exchanger. It is produced by mixing an available stream of saturated steam at 1 bar discharged from a turbine at a rate of 1150 kg/h with a second stream of superheated steam at 400°C and 1 bar. The mixing may be considered adiabatic. Calculate the amount of superheated steam at 300°C produced and the required volumetric flow rate of the 400°C steam. a. b. C. d. e. Draw a picture of your system. Label input and exit streams and include mass flow rate, temperature, and pressure. Use variables to define any unknowns. Determine enthalpies for all streams at appropriate conditions. See attached steam table. All enthalpy values in the steam table are in kJ/kg. Write the open system energy balance and eliminate unnecessary terms (include brief justifications). Determine the mass flow rate of saturated steam. Please give your answer in kg/hr. Determine the volumetric flow rate of the saturated steam. Please give your answer in m³/hr.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question
Superheated steam at 300°C and 1 bar (absolute) is to be fed to a heat exchanger. It is produced
by mixing an available stream of saturated steam at 1 bar discharged from a turbine at a rate of
1150 kg/h with a second stream of superheated steam at 400°C and 1 bar. The mixing may be
considered adiabatic. Calculate the amount of superheated steam at 300°C produced and the
required volumetric flow rate of the 400°C steam.
a.
b.
C.
d.
e.
Draw a picture of your system. Label input and exit streams and include mass flow rate,
temperature, and pressure. Use variables to define any unknowns.
Determine enthalpies for all streams at appropriate conditions. See attached steam table.
All enthalpy values in the steam table are in kJ/kg.
Write the open system energy balance and eliminate unnecessary terms (include brief
justifications).
Determine the mass flow rate of saturated steam. Please give your answer in kg/hr.
Determine the volumetric flow rate of the saturated steam. Please give your answer in
m³/hr.
Transcribed Image Text:Superheated steam at 300°C and 1 bar (absolute) is to be fed to a heat exchanger. It is produced by mixing an available stream of saturated steam at 1 bar discharged from a turbine at a rate of 1150 kg/h with a second stream of superheated steam at 400°C and 1 bar. The mixing may be considered adiabatic. Calculate the amount of superheated steam at 300°C produced and the required volumetric flow rate of the 400°C steam. a. b. C. d. e. Draw a picture of your system. Label input and exit streams and include mass flow rate, temperature, and pressure. Use variables to define any unknowns. Determine enthalpies for all streams at appropriate conditions. See attached steam table. All enthalpy values in the steam table are in kJ/kg. Write the open system energy balance and eliminate unnecessary terms (include brief justifications). Determine the mass flow rate of saturated steam. Please give your answer in kg/hr. Determine the volumetric flow rate of the saturated steam. Please give your answer in m³/hr.
Steam Table Units: Ĥ = specific enthalpy (kJ/kg), Ū = specific internal energy (kJ/kg), V =
Â
Û
specific volume (m³/kg)
TABLE B.7 Properties of Superheated Steam
P(bar)
Sat'd
Steam
Temperature (°C)→
50
(Tsat. C)
75
0.0
(--)
0.1
(45.8)
0.5
(81.3)
1.0
(99.6)
5.0
(151.8)
10
(179.9)
20
(212.4)
40
(250.3)
A
0
D
A 191.8
0 191.8
A 340.6
0 340.6
0.00103
A 4175
0417.5
A 640.1
0 639.6
A 762.6
0 761.5
0.00113
0.0
Sat'd
Water
A 908.6
0906.2
0.1
0.00101
0.00104
(45.8)
0.5
0.00109
(81.3)
0.00118
A 1087.4
2800.3
0 1082.4 2601.3
0.00125
0.04975
TABLE B.7 (Continued)
P(bar)
(Teat. C)
5.0
(151.8)
10
(179.9)
20
(212.4)
40
(250.3)
2584.8
2438.0
14.7
ADD AUD D D D D D DD
2646.0
2484.0
3.24
2675.4
2506.1
1.69
2747.S
2560.2
0.375
2776.2
2582
0.194
DE
2797.2
2598.2
0.09950
0
1.0 A 3278
(99.6)
Û 2968
3280
0 2969
21.1
A 3279
0 2969
6.21
3.11
A 3272
2964
0.617
A 3264
0 2958
0.307
A 3249
0 2946
0.151
A 3216
Û 2922
0.0734
2595
2446
2593
2444
14.8
450
Temperature (°C)→
400
3280
2969
209.3
209.2
0.00101
209.3
209.2
0.00101
209.7
209.2
0.00101
210.1
209.1
0.00101
211.0
209.0
0.00101
212.7
208.6
0.00101
3384
3050
3384
3050
33.3
3383
3049
6.67
3382
3049
3.33
3379
3045
0.664
3371
3041
0.330
3358
3031
0.163
3331
3011
0.0799
2642
2481
2640
2480
16.0
313.9
313.9
0.00103
314.0
313.9
0.00103
314.3
313.8
0.00103
314.7
313.7
0.00103
M
315.5
313.5
0.00102
317.1
313.0
0.00102
500
3497
3132
3489
3132
35.7
3489
3132
7.14
3488
3132
3.57
3484
3128
0.711
3478
3124
0.353
3467
3115
0.175
3445
3100
0.0864
100
2689
2517
2688
2516
17.2
2683
2512
3.41
2676
2507
1.69
419.4
418.8
0.00104
419.7
418.7
0.00104
P
420.5
418.4
0.00104
422.0
417.8
0.00104
550
3597
3217
3596
3217
38.0
3596
3216
7.58
3596
3216
3.80
3592
3213
0.758
3587
3210
0.377
3578
3202
0.188
3559
3188
0.0926
150
2784
2589
2783
2588
19.5
2780
2586
3.89
2776
2583
1.94
632.2
631.6
0.00109
632.5
631.4
0.00109
600
3706
3303
3706
3303
40.3
3705
3302
8.06
3705
3302
4.03
633.1
852.6
603.9
850.2
0.00109 0.00116
3702
3300
0.804
3697
3296
0.402
200
2880
2662
3689
3290
0.200
2880
2661
21.8
3673
3278
0.0987
2878
2660
4.35
2875
2658
2.17
2855
2643
0.425
2827
2621
0.206
650
3816
3390
3816
3390
42.6
3816
3390
8.55
3816
3390
4.26
3813
3388
0.850
634.3
853.4
1085.8
2962
630.0 848.8
0.00109 0.00115 0.00125 0.0588
1080.8 2727
3809
3385
0.424
3802
3379
0.211
250
2978
2736
3788
3368
0.105
2977
2736
24.2
2979
2735
4.83
2975
2734
2.40
2961
2724
0.474
2943
2710
0.233
2902
2679
0.111
700
3929
3480
3929
3480
44.8
3929
3480
9.01
3928
3479
4.48
3926
3477
0.897
3923
3475
0.448
3916
3470
0.223
300
3077
2812
3904
3460
0.111
3077
2812
26.5
3076
2811
5.29
3074
2811
2.64
3065
2803
0.522
3052
2794
0.258
3025
2774
0.125
350
3177
2890
3177
2890
28.7
3177
2889
5.75
3176
2889
2.87
3168
2883
0.571
3159
2876
0.282
3139
2862
0.139
3095
2829
0.0665
750
4043
3591
4043
3571
47.2
4043
3571
9.43
4042
3570
4.72
4040
3569
0.943
4038
3567
0.472
4032
3562
0.235
4021
3554
0.117
Transcribed Image Text:Steam Table Units: Ĥ = specific enthalpy (kJ/kg), Ū = specific internal energy (kJ/kg), V = Â Û specific volume (m³/kg) TABLE B.7 Properties of Superheated Steam P(bar) Sat'd Steam Temperature (°C)→ 50 (Tsat. C) 75 0.0 (--) 0.1 (45.8) 0.5 (81.3) 1.0 (99.6) 5.0 (151.8) 10 (179.9) 20 (212.4) 40 (250.3) A 0 D A 191.8 0 191.8 A 340.6 0 340.6 0.00103 A 4175 0417.5 A 640.1 0 639.6 A 762.6 0 761.5 0.00113 0.0 Sat'd Water A 908.6 0906.2 0.1 0.00101 0.00104 (45.8) 0.5 0.00109 (81.3) 0.00118 A 1087.4 2800.3 0 1082.4 2601.3 0.00125 0.04975 TABLE B.7 (Continued) P(bar) (Teat. C) 5.0 (151.8) 10 (179.9) 20 (212.4) 40 (250.3) 2584.8 2438.0 14.7 ADD AUD D D D D D DD 2646.0 2484.0 3.24 2675.4 2506.1 1.69 2747.S 2560.2 0.375 2776.2 2582 0.194 DE 2797.2 2598.2 0.09950 0 1.0 A 3278 (99.6) Û 2968 3280 0 2969 21.1 A 3279 0 2969 6.21 3.11 A 3272 2964 0.617 A 3264 0 2958 0.307 A 3249 0 2946 0.151 A 3216 Û 2922 0.0734 2595 2446 2593 2444 14.8 450 Temperature (°C)→ 400 3280 2969 209.3 209.2 0.00101 209.3 209.2 0.00101 209.7 209.2 0.00101 210.1 209.1 0.00101 211.0 209.0 0.00101 212.7 208.6 0.00101 3384 3050 3384 3050 33.3 3383 3049 6.67 3382 3049 3.33 3379 3045 0.664 3371 3041 0.330 3358 3031 0.163 3331 3011 0.0799 2642 2481 2640 2480 16.0 313.9 313.9 0.00103 314.0 313.9 0.00103 314.3 313.8 0.00103 314.7 313.7 0.00103 M 315.5 313.5 0.00102 317.1 313.0 0.00102 500 3497 3132 3489 3132 35.7 3489 3132 7.14 3488 3132 3.57 3484 3128 0.711 3478 3124 0.353 3467 3115 0.175 3445 3100 0.0864 100 2689 2517 2688 2516 17.2 2683 2512 3.41 2676 2507 1.69 419.4 418.8 0.00104 419.7 418.7 0.00104 P 420.5 418.4 0.00104 422.0 417.8 0.00104 550 3597 3217 3596 3217 38.0 3596 3216 7.58 3596 3216 3.80 3592 3213 0.758 3587 3210 0.377 3578 3202 0.188 3559 3188 0.0926 150 2784 2589 2783 2588 19.5 2780 2586 3.89 2776 2583 1.94 632.2 631.6 0.00109 632.5 631.4 0.00109 600 3706 3303 3706 3303 40.3 3705 3302 8.06 3705 3302 4.03 633.1 852.6 603.9 850.2 0.00109 0.00116 3702 3300 0.804 3697 3296 0.402 200 2880 2662 3689 3290 0.200 2880 2661 21.8 3673 3278 0.0987 2878 2660 4.35 2875 2658 2.17 2855 2643 0.425 2827 2621 0.206 650 3816 3390 3816 3390 42.6 3816 3390 8.55 3816 3390 4.26 3813 3388 0.850 634.3 853.4 1085.8 2962 630.0 848.8 0.00109 0.00115 0.00125 0.0588 1080.8 2727 3809 3385 0.424 3802 3379 0.211 250 2978 2736 3788 3368 0.105 2977 2736 24.2 2979 2735 4.83 2975 2734 2.40 2961 2724 0.474 2943 2710 0.233 2902 2679 0.111 700 3929 3480 3929 3480 44.8 3929 3480 9.01 3928 3479 4.48 3926 3477 0.897 3923 3475 0.448 3916 3470 0.223 300 3077 2812 3904 3460 0.111 3077 2812 26.5 3076 2811 5.29 3074 2811 2.64 3065 2803 0.522 3052 2794 0.258 3025 2774 0.125 350 3177 2890 3177 2890 28.7 3177 2889 5.75 3176 2889 2.87 3168 2883 0.571 3159 2876 0.282 3139 2862 0.139 3095 2829 0.0665 750 4043 3591 4043 3571 47.2 4043 3571 9.43 4042 3570 4.72 4040 3569 0.943 4038 3567 0.472 4032 3562 0.235 4021 3554 0.117
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