closed system is comprised of 10kg of pure water substance initially at a temperature of 400 C and a pressure of 8.5 MPa (state 1) 1. For state 1, show the system is in the superheated vapour phase   2. Evaluate the specific volume of the steam in state 1 using the thermodynamic property tables and compare it to the value obtained assuming the steam behaves as an ideal gas.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A closed system is comprised of 10kg of pure water substance initially at a temperature of 400 C and a pressure of 8.5 MPa (state 1)

1. For state 1, show the system is in the superheated vapour phase

 

2. Evaluate the specific volume of the steam in state 1 using the thermodynamic property tables and compare it to the value obtained assuming the steam behaves as an ideal gas.

Which value would you have most confidence in (give reasons for your choice)

The system now undergoes an isentropic (constant entropy) adiabatic process on which its pressure drops to 100 kPa (state 2).

 

For steam the specific gas constant = 461.5 J/kgK

Use the attached table of properties

T
p/[bar]
(T/[°C])
300
350
400
450
500
600
200
['C]
250
. 0.3748
4. 2562
h. 2749
6.822
0.4252 0.4745 0.5226
2725
2962
7.271
0.5701
2883
3168
7.633
0.6172 0.6641
3045
2963
3272
3377
7.944
7.793
0.7108
3129
3484
8.087
0.8040
3300
3702
8.351
5
2644
2857
7.060
2804
3065
7.460
(151.8)
0.3156
2568
0.3522 0.3940 0.4344
2722
2958
7.182
2640
2851
6.968
2801
3062
7,373
0.4743 0.5136 0.5528 0.5919 0.6697
3044
3376
7.858
2881
3166
7.546
2962
3270
7.707
3128
h. 2757
S% 6.761
0.2728
3299
3701
8.267
(158.8)
3483
8.001
0.3001 0.3364 0.3714 0.4058
2800
3060
7.298
0.4397 0.4734
3043
2961
3269
3374
7.634
7.786
0.5069 0.5737
44 2573
h, 2764
6.709
2880
3164
7.473
7
2636
2846
6.888
2720
3127
3298
(165.0)
3700
8.195
2955
3482
7.929
7.106
0.2403
4. 2577
h. 2769
S% 6.663
0.2610 0.2933 0.3242 0.3544 0.3842 0.4138 0.4432 0.5018
2878
2960
3162
3267
8
2631
2840
6.817
2716
2951
7.040
2798
3057
7.233
3042
3373
7.723
3126
3481
7.866
3298
3699
8.132
(170.4)
7.409
7.571
0.2149
2581
9
(175.4)
2628
h
2835
6,753
0.2305 0.2597 0.2874
2714
2948
6.980
2796
3055
7.176
0.3144 0.3410 0.3674 0.3937 0.4458
3041
3372
7.667
2877
3160
7.352
2959
3266
7.515
3126
3480
7.811
3298
3699
8.077
h. 2774
6.623
0.1944
2584
0.2061 0.2328 0.2580
2711
2944
6.926
2794
3052
7.124
0.2825 0.3065 0.3303 0.3540 0.4010
3040
3370
7.617
10
2623
2829
6.695
2875
3158
7.301
2957
3264
7.464
3124
3478
7.761
3297
3698
8.028
h. 2778
S* 6.586
0.1317
2595
h. 279
S% 6.445
0.0996
(179.9)
0.1324 0.1520 0.1697
2697
2925
6.711
0.1865 0.2029 0.2191 0.2351 0.2667
3035
3364
7.423
2952
3256
7.268
15
2597
2784
3039
6.919
2868
3148
7.102
3120
3473
7.569
3294
3694
7.838
(198.3)
h
2796
6.452
0.1115 0.1255
4. 2600
h. 2799
6.340
0.1386 0.1511
2946
3248
7.126
0.1634
3030
3357
7.283
0.1756 0.1995
3291
3690
7.701
20
(212.4)
2681
2774
2861
3116
h
3025
3138
6.957
2904
3467
7.431
6.547
6.768
0.0706 0.0812
0.0666
и, 2603
h. 2803
S% 6.186
0.0498
0.0905 0.0993 0.1078 0.1161 0.1324
3020
3343
7.082
30
(233.8)
2751
2845
3117
6.744
2933
3231
6.921
3108
3456
7.233
2646
3285
3682
7.507
h
2858
2995
6.289
6.541
4. 2602
h. 2801
6.070
0.0588
2728
2963
6.364
0.0664 0.0733 0.0800 0.0864 0.0988
3010
3330
6.935
2828
3094
6.584
40
2921
3214
6.769
3099
3445
7.089
3279
3674
7.368
(250.3)
h
0.0453 0.0519 0.0578 0.0632
2810
2907
3070
3196
6.451
6.646
0.0685 0.0786
3090
3273
3666
3433
6.975
7.258
0.0394
2597
h, 2794
S% 5.973
0.0324
2590
h. 2784
5.890
50
(263.9)
2700
2927
6.212
3000
3316
6.818
h
0.0362
2670
2887
6.071
0.0422 0.0473 0.0521 0.0566 0.0652
2988
3301
6.719
60
2792
3045
6.336
2893
3177
6.541
3081
3421
6.879
3266
3657
7.166
(275.6)
0.0274
2581
v/[m'/kg]
u/[kJ/kg]
h/[kJ/kg]
s/tkJ/kg k]
0.0295
2634
2841
5.934
0.0352 0.0399
2772
2879
3018
3158
6.231
6.448
0.0441
2978
3287
6.632
0.0481 0.0556
3073
3260
3410
3649
6.796
7.088
70
(285.8)
h. 2772
5.814
See footnote on p. 6.
Transcribed Image Text:T p/[bar] (T/[°C]) 300 350 400 450 500 600 200 ['C] 250 . 0.3748 4. 2562 h. 2749 6.822 0.4252 0.4745 0.5226 2725 2962 7.271 0.5701 2883 3168 7.633 0.6172 0.6641 3045 2963 3272 3377 7.944 7.793 0.7108 3129 3484 8.087 0.8040 3300 3702 8.351 5 2644 2857 7.060 2804 3065 7.460 (151.8) 0.3156 2568 0.3522 0.3940 0.4344 2722 2958 7.182 2640 2851 6.968 2801 3062 7,373 0.4743 0.5136 0.5528 0.5919 0.6697 3044 3376 7.858 2881 3166 7.546 2962 3270 7.707 3128 h. 2757 S% 6.761 0.2728 3299 3701 8.267 (158.8) 3483 8.001 0.3001 0.3364 0.3714 0.4058 2800 3060 7.298 0.4397 0.4734 3043 2961 3269 3374 7.634 7.786 0.5069 0.5737 44 2573 h, 2764 6.709 2880 3164 7.473 7 2636 2846 6.888 2720 3127 3298 (165.0) 3700 8.195 2955 3482 7.929 7.106 0.2403 4. 2577 h. 2769 S% 6.663 0.2610 0.2933 0.3242 0.3544 0.3842 0.4138 0.4432 0.5018 2878 2960 3162 3267 8 2631 2840 6.817 2716 2951 7.040 2798 3057 7.233 3042 3373 7.723 3126 3481 7.866 3298 3699 8.132 (170.4) 7.409 7.571 0.2149 2581 9 (175.4) 2628 h 2835 6,753 0.2305 0.2597 0.2874 2714 2948 6.980 2796 3055 7.176 0.3144 0.3410 0.3674 0.3937 0.4458 3041 3372 7.667 2877 3160 7.352 2959 3266 7.515 3126 3480 7.811 3298 3699 8.077 h. 2774 6.623 0.1944 2584 0.2061 0.2328 0.2580 2711 2944 6.926 2794 3052 7.124 0.2825 0.3065 0.3303 0.3540 0.4010 3040 3370 7.617 10 2623 2829 6.695 2875 3158 7.301 2957 3264 7.464 3124 3478 7.761 3297 3698 8.028 h. 2778 S* 6.586 0.1317 2595 h. 279 S% 6.445 0.0996 (179.9) 0.1324 0.1520 0.1697 2697 2925 6.711 0.1865 0.2029 0.2191 0.2351 0.2667 3035 3364 7.423 2952 3256 7.268 15 2597 2784 3039 6.919 2868 3148 7.102 3120 3473 7.569 3294 3694 7.838 (198.3) h 2796 6.452 0.1115 0.1255 4. 2600 h. 2799 6.340 0.1386 0.1511 2946 3248 7.126 0.1634 3030 3357 7.283 0.1756 0.1995 3291 3690 7.701 20 (212.4) 2681 2774 2861 3116 h 3025 3138 6.957 2904 3467 7.431 6.547 6.768 0.0706 0.0812 0.0666 и, 2603 h. 2803 S% 6.186 0.0498 0.0905 0.0993 0.1078 0.1161 0.1324 3020 3343 7.082 30 (233.8) 2751 2845 3117 6.744 2933 3231 6.921 3108 3456 7.233 2646 3285 3682 7.507 h 2858 2995 6.289 6.541 4. 2602 h. 2801 6.070 0.0588 2728 2963 6.364 0.0664 0.0733 0.0800 0.0864 0.0988 3010 3330 6.935 2828 3094 6.584 40 2921 3214 6.769 3099 3445 7.089 3279 3674 7.368 (250.3) h 0.0453 0.0519 0.0578 0.0632 2810 2907 3070 3196 6.451 6.646 0.0685 0.0786 3090 3273 3666 3433 6.975 7.258 0.0394 2597 h, 2794 S% 5.973 0.0324 2590 h. 2784 5.890 50 (263.9) 2700 2927 6.212 3000 3316 6.818 h 0.0362 2670 2887 6.071 0.0422 0.0473 0.0521 0.0566 0.0652 2988 3301 6.719 60 2792 3045 6.336 2893 3177 6.541 3081 3421 6.879 3266 3657 7.166 (275.6) 0.0274 2581 v/[m'/kg] u/[kJ/kg] h/[kJ/kg] s/tkJ/kg k] 0.0295 2634 2841 5.934 0.0352 0.0399 2772 2879 3018 3158 6.231 6.448 0.0441 2978 3287 6.632 0.0481 0.0556 3073 3260 3410 3649 6.796 7.088 70 (285.8) h. 2772 5.814 See footnote on p. 6.
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