Saturated water at 36.6°C passes through a throttling valve and becomes a mixture of water and steam at 5.4°C. Calculate the specific volume and specific enthalpy of the mixture. Show detailed steps of how the properties are obtained by using only the Saturated Water and Steam table.Consider that a throttling process is a typical irreversible process. The specific enthalpies of the working fluid before and after a throttling valve are the same.The steam table has been provided in the image Saturated Water and Steam (Temperature-based)Enthalpy, kJ/kgTPsatVolume, m³/kgEnergy, kJ/kg°Cgሃይ†ughf0.001Entropy, kJ/(kg K)MPa"fhg hfg 8f 8g 8fg0.01 0.0006117 0.00100021 205.991 0 2374.92500.9 2500.9 0 9.1555 9.15550.0006571 0.00100015| 192.439 4.18 2376.2 4.18 2502.7 2498.6 0.01526 9.1291 9.11382 0.0007060 0.00100011 179.758 8.39 2377.7 8.39 2504.6 2496.2 0.03061 9.1027 9.07200.0007581 0.00100008 | 168.008 12.60 2379.0 12.60 2506.4 2493.8 0.04589 9.0765 9.03064 0.0008135 0.00100007 | 157.116 16.81 2380.4 16.81 |2508.2 2491.4 0.06110 9.0505 8.98945 0.0008726 0.00100008 147.011 21.02 2381.8 21.02 2510.1 2489.0 0.07625 9.0248 8.948636790.0009354 0.00100011| 137.633 25.22 2383.2 25.22 2511.9 2486.7 0.09134 8.9993 8.90800.0010021 0.00100014 | 128.923 29.43 2384.5 29.43 2513.7 2484.3 0.10637 8.9741 8.86778 0.0010730 0.00100020 120.829 33.63 2386.0 33.63 2515.6 2481.9 0.12133 8.9491 8.82780.0011483 0.00100026 113.304 37.82 2387.3 37.82 2517.4 2479.6 0.13624 8.9243 8.788110 0.0012282 0.00100035 | 106.303 42.02 2388.6 42.02 2519.2 2477.2 0.15109 8.8998 8.74879112521.0 2474.8 0.16587 8.8754 8.70962522.9 2472.5 0.18061 8.8513 8.67072524.7 2470.1 0.19528 8.8274 8.63212526.5 2467.7 0.20990 8.8037 8.59380.0013130 0.00100044 99.787 46.22 2390.0 46.2212 0.0014028 0.00100055 93.719 50.41 2391.4 50.4113 0.0014981 0.00100067 88.064 54.60 2392.8 54.6014 0.0015990 0.00100080 82.793 58.79 2394.1 58.7915 0.0017058 0.00100094 77.875 62.98 2395.5 62.98 2528.3 2465.4 0.22446 8.7803 8.555816 0.0018188 0.00100110| 73.286 67.17 2396.9 67.17 2530.2 2463.0 0.23897 8.7570 8.518017 0.0019384 0.00100127 69.001 71.36 2398.2 71.36 2532.0 2460.6 0.25343 8.7339 8.480518 0.0020617 0.00100145| 64.998 75.54 2399.6 75.54 2533.8 2458.3 0.26783 8.7111 8.443319 0.0021983 0.00100164 61.256 79.73 2400.9 79.73 2535.6 2455.9 0.28218 8.6884 8.406320 0.0023393 0.00100184 57.757 83.91 2402.3 83.91 2537.4 2453.5 0.29648 8.6660 8.369521 0.0024882 0.00100205 54.483 88.10 2403.7 88.10 2539.3 2451.2 0.31073 8.6437 8.333022 0.0026153 0.00100228 51.418 92.28 2405.1 92.28 2541.1 2448.8 0.32493 8.6217 8.296723 0.0028111 0.00100251 48.548 96.46 2406.4 96.46 2542.9 2446.4 0.33908 8.5998 8.260724 0.0029858 | 0.00100275 45.858 100.65 2407.8 100.65 2544.7 2444.0 0.35318 8.5781 8.225025 0.0031699 0.00100301 | 43.337 104.83 2409.1 104.83 2546.5 2441.7 0.36722 8.5566 8.189426 0.0033639 0.00100327 40.973 109.01 2410.5 109.01 2548.3 2439.3 0.38123 8.5353 8.154127 0.0035681 0.00100354 38.754 113.19 2411.8 113.19 2550.1 2436.9 0.39518 8.5142 8.119128 0.0037831 0.00100382 36.672 117.37 2413.2 117.37|2551.9|2434.6 0.40908 8.4933 8.084229 0.0040092 0.00100411 34.716 121.55 2414.5 121.55 2553.7 2432.2 0.42294 8.4725 8.049630 0.0042470 0.00100441 32.878 125.73 2415.9 125.73 2555.5 2429.8 0.43675 8.4520 8.015231 0.0044969 0.00100472 31.151 129.91 2417.2 129.91 2557.3 2127.4 0.45052 8.4316 7.981032 0.0047596 0.00100504 29.526 134.09 2418.7 134.09 2559.2 2425.1 0.46424 8.4113 7.947133 0.0050354 0.00100537 27.998 138.26 2420.0 138.27 2561.0 2422.7 0.47792 8.3913 7.913434 0.0053251 0.00100570| 26.560 142.44 2421.4 142.45 2562.8 2420.3 0.49155 8.3714 7.879935 0.0056290 0.00100605 25.205 146.62 2422.6 146.63 2564.5 2417.9 0.50513 8.3517 7.846636 0.0059479 0.00100640 23.929 150.80 2424.0 150.81 2566.3|2415.5 0.51867 8.3321 7.813537 0.0062823 0.00100676 22.727 154.98 2425.3 154.99 2568.1 2413.1 0.53217 8.3127 7.780638 0.0066328 0.00100713 21.593 159.16 2426.7 159.17 2569.9 2410.8 0.54562 8.2935 7.747939 0.0070002 0.00100750| 20.524 163.34|2428.0 163.35 |2571.7|2408.4 0.55903 8.2745 7.7154|

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Answered: Saturated water at 36.6°C passes…

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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Question

Saturated water at 36.6°C passes through a throttling valve and becomes a mixture of water and steam at 5.4°C. Calculate the specific volume and specific enthalpy of the mixture. Show detailed steps of how the properties are obtained by using only the Saturated Water and Steam table.

Consider that a throttling process is a typical irreversible process. The specific enthalpies of the working fluid before and after a throttling valve are the same.

The steam table has been provided in the image

Saturated Water and Steam (Temperature-based)
Enthalpy, kJ/kg
T
Psat
Volume, m³/kg
Energy, kJ/kg
°C
g
ሃይ†
ug
hf
0.00
1
Entropy, kJ/(kg K)
MPa
"f
hg hfg 8f 8g 8fg
0.01 0.0006117 0.00100021 205.991 0 2374.9
2500.9 2500.9 0 9.1555 9.1555
0.0006571 0.00100015| 192.439 4.18 2376.2 4.18 2502.7 2498.6 0.01526 9.1291 9.1138
2 0.0007060 0.00100011 179.758 8.39 2377.7 8.39 2504.6 2496.2 0.03061 9.1027 9.0720
0.0007581 0.00100008 | 168.008 12.60 2379.0 12.60 2506.4 2493.8 0.04589 9.0765 9.0306
4 0.0008135 0.00100007 | 157.116 16.81 2380.4 16.81 |2508.2 2491.4 0.06110 9.0505 8.9894
5 0.0008726 0.00100008 147.011 21.02 2381.8 21.02 2510.1 2489.0 0.07625 9.0248 8.9486
3
679
0.0009354 0.00100011| 137.633 25.22 2383.2 25.22 2511.9 2486.7 0.09134 8.9993 8.9080
0.0010021 0.00100014 | 128.923 29.43 2384.5 29.43 2513.7 2484.3 0.10637 8.9741 8.8677
8 0.0010730 0.00100020 120.829 33.63 2386.0 33.63 2515.6 2481.9 0.12133 8.9491 8.8278
0.0011483 0.00100026 113.304 37.82 2387.3 37.82 2517.4 2479.6 0.13624 8.9243 8.7881
10 0.0012282 0.00100035 | 106.303 42.02 2388.6 42.02 2519.2 2477.2 0.15109 8.8998 8.7487
9
11
2521.0 2474.8 0.16587 8.8754 8.7096
2522.9 2472.5 0.18061 8.8513 8.6707
2524.7 2470.1 0.19528 8.8274 8.6321
2526.5 2467.7 0.20990 8.8037 8.5938
0.0013130 0.00100044 99.787 46.22 2390.0 46.22
12 0.0014028 0.00100055 93.719 50.41 2391.4 50.41
13 0.0014981 0.00100067 88.064 54.60 2392.8 54.60
14 0.0015990 0.00100080 82.793 58.79 2394.1 58.79
15 0.0017058 0.00100094 77.875 62.98 2395.5 62.98 2528.3 2465.4 0.22446 8.7803 8.5558
16 0.0018188 0.00100110| 73.286 67.17 2396.9 67.17 2530.2 2463.0 0.23897 8.7570 8.5180
17 0.0019384 0.00100127 69.001 71.36 2398.2 71.36 2532.0 2460.6 0.25343 8.7339 8.4805
18 0.0020617 0.00100145| 64.998 75.54 2399.6 75.54 2533.8 2458.3 0.26783 8.7111 8.4433
19 0.0021983 0.00100164 61.256 79.73 2400.9 79.73 2535.6 2455.9 0.28218 8.6884 8.4063
20 0.0023393 0.00100184 57.757 83.91 2402.3 83.91 2537.4 2453.5 0.29648 8.6660 8.3695
21 0.0024882 0.00100205 54.483 88.10 2403.7 88.10 2539.3 2451.2 0.31073 8.6437 8.3330
22 0.0026153 0.00100228 51.418 92.28 2405.1 92.28 2541.1 2448.8 0.32493 8.6217 8.2967
23 0.0028111 0.00100251 48.548 96.46 2406.4 96.46 2542.9 2446.4 0.33908 8.5998 8.2607
24 0.0029858 | 0.00100275 45.858 100.65 2407.8 100.65 2544.7 2444.0 0.35318 8.5781 8.2250
25 0.0031699 0.00100301 | 43.337 104.83 2409.1 104.83 2546.5 2441.7 0.36722 8.5566 8.1894
26 0.0033639 0.00100327 40.973 109.01 2410.5 109.01 2548.3 2439.3 0.38123 8.5353 8.1541
27 0.0035681 0.00100354 38.754 113.19 2411.8 113.19 2550.1 2436.9 0.39518 8.5142 8.1191
28 0.0037831 0.00100382 36.672 117.37 2413.2 117.37|2551.9|2434.6 0.40908 8.4933 8.0842
29 0.0040092 0.00100411 34.716 121.55 2414.5 121.55 2553.7 2432.2 0.42294 8.4725 8.0496
30 0.0042470 0.00100441 32.878 125.73 2415.9 125.73 2555.5 2429.8 0.43675 8.4520 8.0152
31 0.0044969 0.00100472 31.151 129.91 2417.2 129.91 2557.3 2127.4 0.45052 8.4316 7.9810
32 0.0047596 0.00100504 29.526 134.09 2418.7 134.09 2559.2 2425.1 0.46424 8.4113 7.9471
33 0.0050354 0.00100537 27.998 138.26 2420.0 138.27 2561.0 2422.7 0.47792 8.3913 7.9134
34 0.0053251 0.00100570| 26.560 142.44 2421.4 142.45 2562.8 2420.3 0.49155 8.3714 7.8799
35 0.0056290 0.00100605 25.205 146.62 2422.6 146.63 2564.5 2417.9 0.50513 8.3517 7.8466
36 0.0059479 0.00100640 23.929 150.80 2424.0 150.81 2566.3|2415.5 0.51867 8.3321 7.8135
37 0.0062823 0.00100676 22.727 154.98 2425.3 154.99 2568.1 2413.1 0.53217 8.3127 7.7806
38 0.0066328 0.00100713 21.593 159.16 2426.7 159.17 2569.9 2410.8 0.54562 8.2935 7.7479
39 0.0070002 0.00100750| 20.524 163.34|2428.0 163.35 |2571.7|2408.4 0.55903 8.2745 7.7154|

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Follow-up Question

I have some things that need clarification based on the answer provided to this question. Firstly, the h1 value came out as 154.99 kJ/Kg for me not 153.318. Also, the values taken from the steam table for Vf and Vg for 5 degrees celcius and 6 degrees are different from what is on the steam table, I have attached a picture for this. For 5 degrees on the steam table it shows Vf as 0.00100008 and Vg as 147.011 and for 6 degrees it shows Vf as 0.00100011 and Vg as 137.633. Please clarify this and reply as soon as possible. Thanks

From steam
Table
T(°c)
Vf (m³/kg) Vg (m³/kg)
5
0.0008726
0.00100008
Vf2
Ng 2
hf₂
5.4
hf (kJ/kg) hfg (KJ/kg)
21.02
2489.0
hfg2
2486.7
0.0009354
0.00100011
25.22
6.0

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Follow-up Question

isn't h1 154.99?

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