Question 1 This question requires the use of the Thermodynamic Property Tables supplied as additional material. In addition, for steam, the specific ideal gas constant = 461.5 J/kg K A closed system is comprised of 10 kg of pure water substance initially at a temperature of 400 °C and a pressure of 8.5 MPa (state 1). a) For state 1, show that the system is in the superheated yapour phase. (b) Evaluate the specific volume of the steam in state 1 using the thermodynamic property tables supplied 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 during which pressure drops to 100 kPa (state 2). c) For state 2 show that the system is now in the two-phase region. (d) Find the work done by the system on its surroundings during the process.
Question 1 This question requires the use of the Thermodynamic Property Tables supplied as additional material. In addition, for steam, the specific ideal gas constant = 461.5 J/kg K A closed system is comprised of 10 kg of pure water substance initially at a temperature of 400 °C and a pressure of 8.5 MPa (state 1). a) For state 1, show that the system is in the superheated yapour phase. (b) Evaluate the specific volume of the steam in state 1 using the thermodynamic property tables supplied 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 during which pressure drops to 100 kPa (state 2). c) For state 2 show that the system is now in the two-phase region. (d) Find the work done by the system on its surroundings during the process.
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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
Transcribed Image Text:Question 1
This question requires the use of the Thermodynamic Property Tables supplied as
additional material.
In addition, for steam, the specific ideal gas constant = 461.5 J/kg K
A closed system is comprised of 10 kg of pure water substance initially at a temperature of
400 °C and a pressure of 8.5 MPa (state 1).
a) For state 1, show that the system is in the superheated yapour phase.
(b) Evaluate the specific volume of the steam in state 1 using the thermodynamic property
tables supplied 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 during which its
pressure drops to 100 kPa (state 2).
c) For state 2 show that the system is now in the two-phase region.
(d) Find the work done by the system on its surroundings during the process.
![Superheated Steam*
P/[bar]
(T/C])
200
250
300
350
400
450
500
600
[C]
. 0.3748
4 2562
h 2749
$ 6.822
v, 0.3156
4. 2568
h 2757
S, 6.761
v, 0.2728
. 2573
h 2764
S, 6,709
D, 0.2403
4 2577
, 2769
$ 6.663
, 0.2149
. 2581
h, 2774
$ 6.623
D. 0.1944
44 2584
h. 2778
i 6.586
", 0.1317
2595
h 2792
S% 6.445
, 0.0996
4. 2600
h. 2799
S, 6.340
D. 0.0666
4. 2603
h, 2803
S% 6.186
v. 0.0498
и, 2602
h, 2801
S, 6.070
", 0.0394
4, 2597
h, 2794
S% 5.973
0.4252 0.4745 0.5226 0.5701 0.6172 0.6641 0.7108 0.8040
2963
3168 3272 3377
7.633 7.793 7.944
5
2644
2857
7.060
2725
2962
7.271
2804
3065
7.460
2883
3045
3129
3484
8.087
3300
3702
8.351
u
(151.8)
0.3522 0.3940 0.4344 0.4743 0.5136 0.5528 0.5919 0.6697
2881 2962
3166 3270
7.546 7.707
6.
(158.8)
2722
2851 2958
6.968 7.182
2640
2801
3062
7.373
3044
3376
3128 3299
3483
7.858 8.001 8.267
3701
0.3001 0.3364 0.3714 0.4058 0.4397 0.4734 0.5069 0.5737
2636 2720 2800 2880
2846 2955 3060 3164 3269
6.888 7.106 7.298 7.473 7.634 7.786 7.929 8.195
3043
3374
3127 3298
3482 3700
2961
(165.0)
0.2610 0.2933 0.3242 0.3544 0.3842 0.4138 0.4432 0.5018
8
(170.4)
2631 2716 2798
2840
3042
3267 3373 3481 3699
2878
2960
3126 3298
2951
3057 3162
6.817 7.040 7.233 7.409 7.571 7.723 7.866 8.132
0.2305 0.2597 0.2874 0.3144 0.3410 0.3674 0.3937 0.4458
2628
2835
6.753
2714
2948
6.980
2796
3055 3160
7.176 7.352
2877 2959 3041 3126 3298
3372 3480 3699
7.667 7.811 8.077
(175.4)
3266
7.515
0.2061
2623
h
0.2328 0.2580 0.2825 0.3065 0.3303 0.3540 0.4010
2957
3264
7.464
10
2711
2944
6.926
2794
3052
7.124
2875
3158
7.301
3040 3124 3297
3370
7.617
(179.9)
2829
6.695
3478 3698
7.761 8.028
0.1324 0.1520 0.1697
2697
2925
6.711
0.1865
2868
3148
7.102
0.2029 0.2191 0.2351 0.2667
2952
3256 3364
7.268 7.423 7.569 7.838
15
(198.3)
2597
2796
6.452
2784
3039
6.919
3035 3120 3294
3473 3694
0.1115 0.1255 0.1386 0.1511 0.1634 0.1756 0.1995
2681
2904 3025 3138 3248 3357 3467 3690
6.547
20
2774 2861 2946 3030
3116 3291
(212.4)
6.768 6.957 7.126 7.283 7.431 7.701
30
(233.8)
0.0706 0.0812 0.0905 0.0993 0.1078 0.1161 0.1324
2646
2858
6.289
2751 2845 2933 3020 3108 3285
2995
6.541
u
h
3117
6.744
3231 3343 3456 3682
6.921 7.082 7.233 7.507
0.0588 0.0664 0.0733 0.0800 0.0864 0.0988
2728 2828 2921 3010 3099 3279
3214 3330
40
(250.3)
h
2963
6,364
3094
6.584
3445
6.769 6.935 7.089 7.368
3674
0.0453 0.0519 0.0578 0.0632 0.0685 0.0786
50
(263.9)
2700 - 2810
2927 3070 3196 3316
2907
3000
3090 3273
3666
7.258
h
3433
6.212 6.451 6.646 6.818 6.975
". 0.0324
4. 2590
h, 2784
S. 5.890
v, 0.0274
2581
h. 2772
S, 5.814
0.0362 0.0422 0.0473 0.0521 0.0566 0.0652
2988
3301
6.336 6.541 6.719 6.879
60
(275.6)
2670 2792 2893
2887 3045 3177
6.071
3081
3421
3266
3657
7.166
v/[m /kg]
u/[kJ/kg]
h/[kJ/kg]
s/[kJ/kgk]
0.0295 0.0352 0.0399 0.0441 0.0481 0.0556
2879
3158
6.448
70
(285.8)
2634
2841
5.934
2772
3018
6.231
2978 3073
3287 3410
6.632
3260
3649
7.088
6.796
See footnote on p.6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc41f43b5-1aa0-491d-a8d1-548d7b858afd%2F46b9c610-f248-4190-9a37-fcee68beb52c%2F1khc29_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Superheated Steam*
P/[bar]
(T/C])
200
250
300
350
400
450
500
600
[C]
. 0.3748
4 2562
h 2749
$ 6.822
v, 0.3156
4. 2568
h 2757
S, 6.761
v, 0.2728
. 2573
h 2764
S, 6,709
D, 0.2403
4 2577
, 2769
$ 6.663
, 0.2149
. 2581
h, 2774
$ 6.623
D. 0.1944
44 2584
h. 2778
i 6.586
", 0.1317
2595
h 2792
S% 6.445
, 0.0996
4. 2600
h. 2799
S, 6.340
D. 0.0666
4. 2603
h, 2803
S% 6.186
v. 0.0498
и, 2602
h, 2801
S, 6.070
", 0.0394
4, 2597
h, 2794
S% 5.973
0.4252 0.4745 0.5226 0.5701 0.6172 0.6641 0.7108 0.8040
2963
3168 3272 3377
7.633 7.793 7.944
5
2644
2857
7.060
2725
2962
7.271
2804
3065
7.460
2883
3045
3129
3484
8.087
3300
3702
8.351
u
(151.8)
0.3522 0.3940 0.4344 0.4743 0.5136 0.5528 0.5919 0.6697
2881 2962
3166 3270
7.546 7.707
6.
(158.8)
2722
2851 2958
6.968 7.182
2640
2801
3062
7.373
3044
3376
3128 3299
3483
7.858 8.001 8.267
3701
0.3001 0.3364 0.3714 0.4058 0.4397 0.4734 0.5069 0.5737
2636 2720 2800 2880
2846 2955 3060 3164 3269
6.888 7.106 7.298 7.473 7.634 7.786 7.929 8.195
3043
3374
3127 3298
3482 3700
2961
(165.0)
0.2610 0.2933 0.3242 0.3544 0.3842 0.4138 0.4432 0.5018
8
(170.4)
2631 2716 2798
2840
3042
3267 3373 3481 3699
2878
2960
3126 3298
2951
3057 3162
6.817 7.040 7.233 7.409 7.571 7.723 7.866 8.132
0.2305 0.2597 0.2874 0.3144 0.3410 0.3674 0.3937 0.4458
2628
2835
6.753
2714
2948
6.980
2796
3055 3160
7.176 7.352
2877 2959 3041 3126 3298
3372 3480 3699
7.667 7.811 8.077
(175.4)
3266
7.515
0.2061
2623
h
0.2328 0.2580 0.2825 0.3065 0.3303 0.3540 0.4010
2957
3264
7.464
10
2711
2944
6.926
2794
3052
7.124
2875
3158
7.301
3040 3124 3297
3370
7.617
(179.9)
2829
6.695
3478 3698
7.761 8.028
0.1324 0.1520 0.1697
2697
2925
6.711
0.1865
2868
3148
7.102
0.2029 0.2191 0.2351 0.2667
2952
3256 3364
7.268 7.423 7.569 7.838
15
(198.3)
2597
2796
6.452
2784
3039
6.919
3035 3120 3294
3473 3694
0.1115 0.1255 0.1386 0.1511 0.1634 0.1756 0.1995
2681
2904 3025 3138 3248 3357 3467 3690
6.547
20
2774 2861 2946 3030
3116 3291
(212.4)
6.768 6.957 7.126 7.283 7.431 7.701
30
(233.8)
0.0706 0.0812 0.0905 0.0993 0.1078 0.1161 0.1324
2646
2858
6.289
2751 2845 2933 3020 3108 3285
2995
6.541
u
h
3117
6.744
3231 3343 3456 3682
6.921 7.082 7.233 7.507
0.0588 0.0664 0.0733 0.0800 0.0864 0.0988
2728 2828 2921 3010 3099 3279
3214 3330
40
(250.3)
h
2963
6,364
3094
6.584
3445
6.769 6.935 7.089 7.368
3674
0.0453 0.0519 0.0578 0.0632 0.0685 0.0786
50
(263.9)
2700 - 2810
2927 3070 3196 3316
2907
3000
3090 3273
3666
7.258
h
3433
6.212 6.451 6.646 6.818 6.975
". 0.0324
4. 2590
h, 2784
S. 5.890
v, 0.0274
2581
h. 2772
S, 5.814
0.0362 0.0422 0.0473 0.0521 0.0566 0.0652
2988
3301
6.336 6.541 6.719 6.879
60
(275.6)
2670 2792 2893
2887 3045 3177
6.071
3081
3421
3266
3657
7.166
v/[m /kg]
u/[kJ/kg]
h/[kJ/kg]
s/[kJ/kgk]
0.0295 0.0352 0.0399 0.0441 0.0481 0.0556
2879
3158
6.448
70
(285.8)
2634
2841
5.934
2772
3018
6.231
2978 3073
3287 3410
6.632
3260
3649
7.088
6.796
See footnote on p.6.
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