𝑫𝒓. 𝑹𝒆𝒏𝒅𝒐𝒏 𝑯𝒆𝒓𝒏á𝒏𝒅𝒆𝒛 𝑭𝒂𝒃𝒊á𝒏 𝑱.

𝑪𝒂𝒍𝒄𝒖𝒍𝒐 𝒅𝒆 𝒍𝒂 𝒆𝒏𝒕𝒂𝒍𝒑í𝒂 (𝒙𝒙) 𝒂𝒕𝒎

𝑻𝒆𝒎𝒑𝒆𝒓𝒂𝒕𝒖𝒓𝒂 °𝑪 𝑷𝒓𝒆𝒔𝒊ó𝒏 𝒅𝒆 𝒔𝒂𝒕. 𝒎𝒎 𝑯𝒈 𝒀 𝒊_𝑮 (𝒌𝒄𝒂𝒍)

0 4.58 0.003761375 2.25
1 4.92 0.004047038 2.66
2 5.29 0.004351834 3.08
3 5.68 0.004676878 3.52
4 6.10 0.005023339 3.97
5 6.55 0.005392447 4.43
6 7.02 0.00578549 4.91
7 7.52 0.006203825 5.40
8 8.05 0.006648874 5.92
9 8.62 0.007122131 6.44
10 9.22 0.007625163 6.99
11 9.86 0.008159616 7.55
12 10.54 0.008727217 8.14
13 11.25 0.009329779 8.75
14 12.01 0.009969208 9.38
15 12.82 0.0106475 10.03
16 13.67 0.011366755 10.71
17 14.57 0.012129178 11.42
18 15.52 0.012937082 12.15
19 16.52 0.0137929 12.92
20 17.58 0.014699188 13.71
21 18.70 0.015658633 14.54
22 19.88 0.016674058 15.41
23 21.13 0.017748436 16.31
24 22.44 0.018884891 17.25
25 23.82 0.020086716 18.23
26 25.28 0.021357374 19.25
27 26.81 0.022700519 20.32
28 28.43 0.024119999 21.44
29 30.13 0.025619873 22.60
30 31.91 0.027204428 23.82
31 33.79 0.028878187 25.10
32 35.76 0.030645935 26.43
33 37.83 0.032512726 27.83
34 40.00 0.034483915 29.29
35 42.28 0.036565171 30.83
36 44.67 0.038762502 32.43
37 47.18 0.041082286 34.11
38 49.81 0.043531294 35.88
39 52.56 0.046116724 37.73
40 55.45 0.048846237 39.67
41 58.47 0.05172799 41.71
42 61.63 0.054770686 43.85
43 64.93 0.057983613 46.09
44 68.39 0.0613767 48.46
45 72.00 0.064960575 50.94
46 75.78 0.068746624 53.55
47 79.73 0.072747067 56.30
48 83.85 0.076975036 59.19
49 88.16 0.081444663 62.23
50 92.65 0.086171177 65.44
51 97.34 0.091171021 68.83
52 102.23 0.096461974 72.39
53 107.32 0.102063293 76.16
54 112.64 0.107995873 80.14
55 118.17 0.114282429 84.34
56 123.94 0.120947704 88.79
57 129.95 0.128018703 93.49
58 136.20 0.13552496 98.47
59 142.71 0.14349885 103.75
60 149.48 0.151975943 109.35
61 156.53 0.160995411 115.30
62 163.85 0.170600506 121.63
63 171.47 0.180839108 128.36
64 179.38 0.191764369 135.53
65 187.61 0.203435467 143.17
66 196.15 0.215918494 151.34
67 205.02 0.2292875 160.08
68 214.22 0.243625741 169.43
69 223.78 0.259027161 179.47
70 233.69 0.275598177 190.26
71 243.97 0.293459831 201.88
72 254.64 0.312750398 214.41
73 265.70 0.333628584 227.97
74 277.15 0.356277453 242.66
75 289.03 0.380909304 258.62
76 301.33 0.407771759 276.02
77 314.07 0.437155448 295.03
78 327.26 0.469403783 315.89
79 340.92 0.504925536 338.85
80 355.05 0.544211174 364.23
81 369.68 0.587854372 392.41
 82 384.80 0.636580684 423.86
83 400.45 0.691286344 459.15
84 416.62 0.753091615 499.01
85 433.35 0.823415493 544.34
86 450.63 0.904082418 596.32
87 468.48 0.997478267 656.49
88 486.93 1.106784355 726.89
89 505.98 1.236339124 810.32
90 525.65 1.392216919 910.67
91 545.96 1.583192765 1033.60
92 566.92 1.822431061 1187.56
93 588.55 2.130622471 1385.88
94 610.86 2.542259582 1650.72
95 633.88 3.119448802 2022.05
96 657.61 3.986458781 2579.80
97 682.08 5.433448816 3510.58
98 707.31 8.33194445 5374.96
99 733.31 17.05218663 10983.88
100 760.10 -4812.73152 -3095524.91
 log10 Pvap = A- [B/(T °C+ C)] mmHg

Constantes
Formula Nombre A B C
𝑯_𝟐 𝑶 𝑨𝒈𝒖𝒂 8.05573 1723.6425 233.08

Presión del sistema Equilibrio

𝑴_𝒂𝒈𝒖𝒂 18 𝒌𝒈∕𝒌𝒎𝒐𝒍 0 2.25
𝑴_𝒂𝒊𝒓𝒆 29 𝒌𝒈∕𝒌𝒎𝒐𝒍 1 2.66
Presión 760 mm Hg 2 3.08
3 3.52
𝒀=𝑴_𝒗/𝑴_𝒈 ∙𝒑_𝒔𝒂𝒕/(𝑷−𝒑_𝒔𝒂𝒕 ) 4 3.97
5 4.43
6 4.91
𝒊_𝑮=(𝟎.𝟐𝟒+𝟎.𝟒𝟔 𝒀)𝒕+𝟓𝟗𝟕.𝟐 𝒀 7 5.40
8 5.92
9 6.44
10 6.99
11 7.55
12 8.14
13 8.75
14 9.38
15 10.03
16 10.71
17 11.42
18 12.15
19 12.92
20 13.71
21 14.54
22 15.41
23 16.31
24 17.25
25 18.23
26 19.25
27 20.32
28 21.44
29 22.60
30 23.82
31 25.10
32 26.43
33 27.83
34 29.29
35 30.83
36 32.43
37 34.11
38 35.88
39 37.73
40 39.67
41 41.71
42 43.85
43 46.09
44 48.46
45 50.94
46 53.55
47 56.30
48 59.19
49 62.23
50 65.44
51 68.83
52 72.39
53 76.16
54 80.14
55 84.34
56 88.79
57 93.49
58 98.47
59 103.75
60 109.35
61 115.30
62 121.63
63 128.36
64 135.53
65 143.17
66 151.34
67 160.08
68 169.43
69 179.47
70 190.26
71 201.88
72 214.41
73 227.97
74 242.66
75 258.62
76 276.02
77 295.03
78 315.89
79 338.85
80 364.23
81 392.41
 82 423.86
83 459.15
84 499.01
85 544.34
86 596.32
87 656.49
88 726.89
89 810.32
90 910.67
91 1033.60
92 1187.56
93 1385.88
94 1650.72
95 2022.05
96 2579.80
97 3510.58
98 5374.96
99 10983.88
100 -3095524.91
 110
105
100
95
90
85
80
75
70
65
60
i kcal/kg

55
50
45
40
35
30
25
20
15
10
5
0
0 5 10 15 20 25 30 35 40 45 50 55 60

t °C
 Datos
𝒕_(𝑳_𝟏 ) 20 °𝑪
𝒕_(𝑳_𝟐 ) 50 °𝑪
𝒕_(𝑮_𝟏 ) 18 °𝑪
𝝋 30 %
𝑮′ 2500 𝒌𝒈∕ 〖𝒎 ^𝟐∙𝒉 〗
𝑳′ 1000 𝒌𝒈∕ 〖𝒎 ^𝟐∙𝒉 〗
𝑲_𝒀 𝒂 1200 𝒌𝒈∕ 〖𝒎 ^𝟑∙𝒉 〗
𝝆_agua 1000 𝒌𝒈∕𝒎^𝟑
𝑪_𝑳 4.18 𝒌𝑱∕ 〖𝑲𝒈∙ °𝑪 〗
𝑪_𝑳 1 𝒌𝒄𝒂𝒍∕ 〖𝑲𝒈∙ °𝑪 〗
M_agua 18 𝒌𝒈∕𝒌𝒎𝒐𝒍
M_aire 29 𝒌𝒈∕𝒌𝒎𝒐𝒍
𝝆_𝒂𝒊𝒓𝒆 1.2 𝒌𝒈∕𝒎^𝟑
 Datos
𝑳' 1000 𝒌𝒈∕ 〖𝒎 ^𝟐∙𝒉 〗
𝒄_𝑳 1 𝒌𝒄𝒂𝒍∕ 〖𝒌𝒈∙ °𝑪 〗 𝒊_𝑮=(𝟎.𝟐𝟒+𝟎.𝟒𝟔 𝒀)𝒕+𝟓𝟗
𝑲_𝒀 𝒂 1200 𝒌𝒈∕ 〖𝒎 ^𝟑∙𝒉 〗
𝒕_(𝑳_𝟏 ) 20 °𝑪 𝒀_𝟏
𝒕_(𝑳_𝟐 ) 50 °𝑪 𝒊_𝟏
𝒊_𝟏 9.95655 𝒌𝒄𝒂𝒍∕𝒌𝒈
𝝆_𝒂𝒊𝒓𝒆 1.29 𝒌𝒈∕𝒎^𝟑
𝝋 30 %
𝑮' 2500 𝒎^𝟑∕ 〖𝒎 ^𝟐∙𝒉 〗
𝒕_(𝑮_𝟏 ) 18 °𝑪
𝑮 3225 𝒌𝒈∕𝒉
𝑨 1 𝒎^𝟐
 55

50

45

40

35

30

i kcal/kg
25

20

15

10

0
0 5 10 15 20 25

t °C

𝒊_𝑮=(𝟎.𝟐𝟒+𝟎.𝟒𝟔 𝒀)𝒕+𝟓𝟗𝟕.𝟐 𝒀

0.0037 〖𝒌𝒈 𝒂𝒈𝒖𝒂〗∕〖𝒌𝒈 𝒂𝒊𝒓𝒆 𝒔𝒆𝒄𝒐〗

6.560276 𝒌𝒄𝒂𝒍∕𝒌𝒈
 70

65

60

55

50

45

40

i kcal/kg
35

30

25

20

15

10

0
15 20 25 30 35 40 45 50 55 0 5 10 15 20 25

t °C t

Línea de operación
𝒕_𝑳 𝒊
20 6.560276
50 15.86260158

0.310077519
#VALUE!

𝒕_𝑳𝟏
 n 𝒕_𝑳𝟏
0 20
1 25
2 30
3 35
4 40
5 45
6 50

Constantes
Formula Nombre A B C
𝑯_𝟐 𝑶 𝑨𝒈𝒖𝒂 8.05573 1723.6425 233.08

Presión del sistema

𝑴_𝒂𝒈𝒖𝒂 18 𝒌𝒈∕𝒌𝒎𝒐𝒍
𝑴_𝒂𝒊𝒓𝒆 29 𝒌𝒈∕𝒌𝒎𝒐𝒍
Presión 760 mm Hg

𝒀=𝑴_𝒗/𝑴_𝒈 ∙𝒑_𝒔𝒂𝒕/(𝑷−𝒑_𝒔𝒂𝒕 )

𝒊_𝑮=(𝟎.𝟐𝟒+𝟎.𝟒𝟔 𝒀)𝒕+𝟓𝟗𝟕.𝟐 𝒀
 𝑵_𝒐𝒊=𝒉/𝟑 [𝒇(𝒂)+𝒇(𝒃)+𝟒

5 10 15 20 25 30 35 40 45 50 55

t °C

Línea de operación
𝒕_𝑳 𝒊
20 6.560276
50 15.86260158

𝒉=(𝒃−𝒂)/𝒏
h 1.550387597
 𝒊 𝒕_𝑳𝟐 𝒊^∗ 𝟏/(𝒊^∗−𝒊) 0
6.560276 20 13.71358785 0.13979538725 20 6.560276
8.110663597 25 18.22678381 0.098852127 20 13.71358785
9.661051194 30 23.82190533 0.07061720927
11.21143879 35 30.82541912 0.05098404215 2
12.76182639 40 39.66974325 0.03716378362 30 9.661051194
14.31221398 45 50.9391392 0.0273023191 30 23.82190533
15.86260158 50 65.44336402 0.020169113
4
ENTALPIA DE LA INTERFASE 40 12.76182639
𝒕 °𝑪 𝒑_𝒗 𝒎𝒎𝑯𝒈 𝒀 𝒊_𝒊 40 39.66974325
20 17.58196308 0.014699188 13.7135878484
25 23.82407433 0.020086716 18.2267838092 6
30 31.91164359 0.027204428 23.8219053298 50 15.86260158
35 42.28121052 0.036565171 30.8254191247 50 65.44336402
40 55.4460788 0.048846237 39.6697432499
45 72.00469675 0.064960575 50.9391392007
50 92.64920559 0.086171177 65.4433640172
 𝑹𝒆𝒔𝒖𝒍𝒕𝒂𝒅𝒐𝒔

𝑮 3225 𝒌𝒈∕ 〖𝒎 ^𝟐∙𝒉 〗

𝑵_𝒐𝒊 0.560248289
𝑯_𝒐𝒊 2.6875 m
a) 𝒛 1.505667276 m

𝑵_𝒐𝒊=𝒉/𝟑 [𝒇(𝒂)+𝒇(𝒃)+𝟒∑▒𝒊𝒎𝒑𝒂𝒓𝒆𝒔+𝟐∑▒𝒑𝒂𝒓𝒆𝒔]

𝑯_𝒐𝒊=𝑮/(𝑲_𝒀 𝒂)
 1
25 8.110663597
25 18.22678381

3
35 11.21143879
35 30.82541912

5
45 14.31221398
45 50.9391392
 Datos
𝒕_(𝑳_𝟏 20 °𝑪
)
𝒕_(𝑳_𝟐 ) 50 °𝑪
𝒕_(𝑮_𝟏 ) 18 °𝑪
𝝋 30 %
𝑮′ 2500 𝒌𝒈∕ 〖𝒎 ^𝟐∙𝒉 〗
𝑳′ 1000 𝒌𝒈∕ 〖𝒎 ^𝟐∙𝒉 〗
𝑲_𝒀 𝒂 1200 𝒌𝒈∕ 〖𝒎 ^𝟑∙𝒉 〗
𝝆_agua 1000 𝒌𝒈∕𝒎^𝟑
𝑪_𝑳 4.18 𝒌𝑱∕ 〖𝑲𝒈∙ °𝑪 〗
𝑪_𝑳 1 𝒌𝒄𝒂𝒍∕ 〖𝑲𝒈∙ °𝑪 〗
M_agua 18 𝒌𝒈∕𝒌𝒎𝒐𝒍
 M_aire 29 𝒌𝒈∕𝒌𝒎𝒐𝒍
𝝆_𝒂𝒊𝒓𝒆 1.2 𝒌𝒈∕𝒎^𝟑

Constantes
Formula Nombre A B C
𝑯_𝟐 𝑶 𝑨𝒈𝒖𝒂 8.05573 1723.6425 233.08
De la carta psicometrica obtenemos:
 Y 0.0036 Kg de agua/ Kg de aire seco
Calculamos i_G1 con
iG= (0.24+0.46 Y)t + 597.2 Y

iG1= 6.499728 Kcal/kg

 80

75

70

65

60

55

50

45
i kcal/kg

40

35

30

25

20

15

10

0
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70

t °C

Linea de operación
tL i_G
20 6.499728
 50 18.499728

0.4

iG2 18.499728
 80

75

70

65

60

55

50

45
i kcal/kg

40

35

30

25

20

15

10

0
50 55 60 65 70 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70

t °C

Simpson 1/3

h 2
n t1 i t2 i*
0 20 6.499728 20 13.7135878
1 25 8.499728 25 18.2267838
2 30 10.499728 30 23.8219053
3 35 12.499728 35 30.8254191
4 40 14.499728 40 39.6697432
5 45 16.499728 45 50.9391392
6 50 18.499728 50 65.443364
Entalpia de la interfase
t P Y i
20 17.5819631 0.01469919 13.7135878
25 23.8240743 0.02008672 18.2267838
30 31.9116436 0.02720443 23.8219053
35 42.2812105 0.03656517 30.8254191
40 55.4460788 0.04884624 39.6697432
45 72.0046967 0.06496057 50.9391392
50 92.6492056 0.08617118 65.443364
 Noi 0.75676824
Hoy 2.08333333 m
Z 1.57660049 m

45 50 55 60 65 70

0
t_L i
20 6.499728
 20 13.7135878
f(x)
0.13862204 1
0.10280603 25 8.499728
0.07506281 25 18.2267838
0.0545682
0.03972981 2
0.0290365 30 10.499728
0.02130214 30 23.8219053

3
35 12.499728
35 30.8254191

4
40 14.499728
40 39.6697432

5
45 16.499728
45 50.9391392

6
50 18.499728
50 65.443364