dew point program.xls

dew point: 1- 100 oC1 Operating Data

P = 131 baraT dew= 0 oC check the equation!

752 Equations

Antoine Constants for WaterA B C limit, oC

8.07131 1730.63 233.426 1-1008.14019 1810.94 244.485 101-374

P …. mmHgT ….. C

dew point: 1- 100 oC dew point: 101- 374 oC3 Partial Pressure of Water (dew point: 1 - 100 C) 3 Partial Pressure of Water (dew point: 101 - 374 C)

P= 4.54222579 mmHg 6.055695 hpa P= 5.40789195785 mmHg0.00605579 bara 0.00720990972 barg

4 Water Content (dew point: 1- 100 C) 4 Water Content (dew point: 101 - 374 C)x= 46.2273761 ppmv x= 55.0374787485 ppmv

2.19503211 lb/mmscf 2.61336556261 lb/mmscf

Vapor pressure over liquid water below 0°C1. Goff Gratch equation

(WMO, 2008)T= 213 Ptotal= 130 barg

-1.7306450234 Ptotal= 131 bara

W= 0.01859323578 hpa 0.14193 ppmv

0.00185932358 kpa

1.8593236E-05 bar

(Smithsonian Tables, 1984, after Goff and Gratch, 1946):

Log10 ew = -7.90298 (373.16/T-1) oK

+ 5.02808 Log10(373.16/T) Log10 ew=

- 1.3816 10-7 (1011.344 (1-T/373.16) -1) + 8.1328 10-3 (10-3.49149 (373.16/T-1) -1) + Log10(1013.246)

Input Equation Output Calculator HYSYSP p=hpa p=bar ppmv lb/mmscf Calculator (ppmv)Calculator (lb/mmscf) ppmv (hysys) lb/mmscf (hysys) ppmv

-35.88 237.12 -0.548006837288265 0.2831347 0.00028 2.16 0.10 1.5 0.07 7.19 0.34 2.16 -35.51-26.47 246.53 -0.157261055206539 0.6962079 0.00070 5.31 0.25 4.1 0.2 14.38 0.68 5.31 -26.25-20.93 252.07 0.0571398209619609 1.1406169 0.00114 8.71 0.41 7.1 0.3 21.57 1.02 8.71 -20.79-16.95 256.05 0.205020551047329 1.6033213 0.00160 12.24 0.58 10 0.5 28.75 1.37 12.24 -16.86-13.81 259.19 0.318153510625293 2.0804319 0.00208 15.88 0.75 14 0.7 35.94 1.71 15.88 -13.75-11.21 261.79 0.409556321944162 2.5677712 0.00257 19.60 0.93 18 0.8 43.13 2.05 19.60 -11.17-8.98 264.02 0.486232676772096 3.0636043 0.00306 23.39 1.11 21 1 50.32 2.39 23.39 -8.96-7.03 265.97 0.552188280613895 3.566057 0.00357 27.22 1.29 25 1.2 57.51 2.73 27.22 -7.02-5.28 267.72 0.610207844056167 4.0757529 0.00408 31.11 1.48 30 1.4 64.70 3.07 31.11 -5.29-3.71 269.29 0.661879515128972 4.5907064 0.00459 35.04 1.66 34 1.6 71.88 3.41 35.04 -3.73-2.27 270.73 0.708388489706005 5.1096187 0.00511 39.00 1.85 38 1.8 79.07 3.75 39.00 -2.30-0.95 272.05 0.750812268713486 5.6339407 0.00563 43.01 2.04 43 2 86.26 4.10 43.01 -0.98

0.28 273.28 4.63618818672074 6.1809661 0.00618 47.18 2.24 47 2.2 93.45 4.44 47.18 0.281.43 274.43 5.03890966223048 6.7178744 0.00672 51.28 2.44 51 2.4 100.63 4.78 51.28 1.432.50 275.50 5.44435902672862 7.2584195 0.00726 55.41 2.63 55 2.6 107.82 5.12 55.41 2.503.51 276.51 5.85048051164301 7.7998606 0.00780 59.54 2.83 59 2.8 115.01 5.46 59.54 3.514.47 277.47 6.2609270225305 8.3470679 0.00835 63.72 3.03 63 3 122.20 5.80 63.72 4.475.38 278.38 6.67233408624135 8.8955558 0.00890 67.91 3.22 67 3.2 129.38 6.14 67.91 5.386.24 279.24 7.08503421946251 9.4457676 0.00945 72.11 3.42 72 3.4 136.57 6.48 72.11 6.24

7.07 280.07 7.5013490614105 10.000799 0.01000 76.34 3.62 76 3.6 143.76 6.83 76.34 7.077.85 280.85 7.91814789084207 10.556475 0.01056 80.58 3.83 80 3.8 150.94 7.17 80.58 7.858.61 281.61 8.3354762055052 11.112857 0.01111 84.83 4.03 84 4 158.13 7.51 84.83 8.619.33 282.33 8.75513008373314 11.672339 0.01167 89.10 4.23 88 4.2 165.32 7.85 89.10 9.33

10.03 283.03 9.17743219691496 12.235353 0.01224 93.40 4.43 93 4.4 172.50 8.19 93.40 10.0310.71 283.71 9.60239456746932 12.801912 0.01280 97.72 4.64 97 4.6 179.69 8.53 97.72 10.7011.35 284.35 10.0257285929537 13.366301 0.01337 102.03 4.84 102 4.8 186.87 8.87 102.03 11.3511.98 284.98 10.4533770224093 13.936442 0.01394 106.39 5.05 105 5 194.06 9.21 106.39 11.9812.58 285.58 10.8773655967111 14.501704 0.01450 110.70 5.26 110 5.2 201.25 9.56 110.70 12.5813.18 286.18 11.3085547709087 15.076565 0.01508 115.09 5.46 115 5.4 208.43 9.90 115.09 13.1713.75 286.75 11.7379580954726 15.649046 0.01565 119.46 5.67 118 5.6 215.62 10.24 119.46 13.7414.30 287.30 12.1687080068869 16.223322 0.01622 123.84 5.88 123 5.8 222.80 10.58 123.84 14.3014.83 287.83 12.597593808591 16.795112 0.01680 128.21 6.09 127 6 229.99 10.92 128.21 14.8315.36 288.36 13.0303105282248 17.37201 0.01737 132.61 6.30 131 6.2 237.18 11.26 132.61 15.3615.87 288.87 13.4652308666729 17.951846 0.01795 137.04 6.51 136 6.4 244.36 11.60 137.04 15.8716.37 289.37 13.9011774646981 18.53305 0.01853 141.47 6.72 140 6.6 251.55 11.94 141.47 16.3716.85 289.85 14.335323829706 19.111854 0.01911 145.89 6.93 144 6.9 258.73 12.29 145.89 16.8517.32 290.32 14.7734615384263 19.695979 0.01970 150.35 7.14 149 7.1 265.92 12.63 150.35 17.3217.78 290.78 15.2088859254656 20.276487 0.02028 154.78 7.35 153 7.3 273.10 12.97 154.78 17.7818.23 291.23 15.646114004941 20.859399 0.02086 159.23 7.56 157 7.5 280.29 13.31 159.23 18.2318.68 291.68 16.0889834506585 21.449833 0.02145 163.74 7.77 162 7.7 287.47 13.65 163.74 18.6819.11 292.11 16.5277644584737 22.034816 0.02203 168.20 7.99 166 7.9 294.66 13.99 168.20 19.1019.53 292.53 16.9694203192941 22.623631 0.02262 172.70 8.20 171 8.1 301.84 14.33 172.70 19.53

19.94 292.94 17.4081049491516 23.208486 0.02321 177.16 8.41 175 8.3 309.02 14.67 177.16 19.94

20.35 293.35 17.8531409122003 23.801807 0.02380 181.69 8.63 316.21 15.01 181.69 20.35

20.74 293.74 18.2962572277474 24.39257 0.02439 186.20 8.84 323.39 15.36 186.20 20.74

21.13 294.13 18.7390762002343 24.982936 0.02498 190.71 9.06 330.58 15.70 190.71 21.13

21.51 294.51 19.1802814727601 25.571151 0.02557 195.20 9.27 337.76 16.04 195.20 21.5121.88 294.88 19.6237578259504 26.162394 0.02616 199.71 9.48 344.95 16.38 199.71 21.8822.25 295.25 20.0707428111848 26.758314 0.02676 204.26 9.70 352.13 16.72 204.26 22.2522.61 295.61 20.5139091360307 27.349144 0.02735 208.77 9.91 359.31 17.06 208.77 22.6130.00 303.00 31.7401672711848 42.315991 0.04232 323.02 15.34 323.02 30.0040.00 313.00 55.1928295583109 73.58308 0.07358 561.70 26.67 561.70 40.0050.00 323.00 92.2998880803763 123.05421 0.12305 939.35 44.60 939.35 50.0060.00 333.00 149.038419212507 198.69802 0.19870 1516.78 72.02 1516.78 60.0070.00 343.00 233.173290598623 310.86663 0.31087 2373.03 112.68 2373.03 70.0080.00 353.00 354.532265465696 472.66242 0.47266 3608.11 171.33 3608.11 80.0090.00 363.00 525.266432823499 700.28521 0.70029 5345.69 253.83 5345.69 90.00

100.00 373.00 760.086369164931 1013.3471 1.01335 7735.47 367.31 7735.47 100.00

T= oC T= oK T= oC

A. Dew Point to Water Content in ppmv

1 Equations ( For Dew Point 0-374 oC )Antoine Constants for WaterA B C limit, oC Ptotal= 130 barg

8.07131 1730.63 233.426 1-100 Ptotal= 131 bara8.14019 1810.94 244.485 101-374

P …. mmHgT ….. C

2 Vapor pressure over liquid water below 0°CGoff Gratch equation

(WMO, 2008)

1 Input Dew Point ( T= oC ) below :

T (range )= -60 ~ 100 oC

Input Equation Output

P p=hpa p=bar ppmv lb/mmscf

1.43 274.43 5.03978037677 6.71904 0.00672 51.29 2.44

T (range )= 100 ~ 373 oC



150.00 423.00 3544.43080814 4725.44 4.72544 36072.02 1712.82


Log10 ew = -7.90298 (373.16/T-1) + 5.02808 Log10(373.16/T)

- 1.3816 10-7 (1011.344 (1-T/373.16) -1)

+ 8.1328 10-3 (10-3.49149 (373.16/T-1) -1)

+ Log10(1013.246)

T= oC T= oK

T= oC T= oK

0.00 50.00 100.00 150.00 200.00 250.00

-40.00

-30.00

-20.00

-10.00

0.00

10.00

20.00

30.00

Water Content vs Dew Point

Water Content (ppmv)

Dew

Poi

nt (

degC

)

0.00 2.00 4.00 6.00 8.00 10.00 12.00

-40.00

-30.00

-20.00

-10.00

0.00

10.00

20.00

30.00

Water Content vs Dew Point

Water Content ( lb/mmscf )

Dew

Poi

nt (

deg

C )

dew point: 1- 100 oC1 Equations

Antoine Constants for WaterA B C limit, oC P p=hpa p=bar ppmv

8.07131 1730.63 233.426 1-100 0.28 273.28 4.636188 6.18 0.00618 47.18

8.14019 1810.94 244.485 101-374ppmv= 47.18 Ptotal= 130 barg

P …. mmHg Ptotal= 131 baraT ….. C

Input

ppmv= 47.18Ptotal= 131 baraA B C limit, oC8.07131 1730.63 233.426 1-100

Formula

T= Dew Point Temperature ( oC ) Vapor pressure over liquid water below 0°CP= Partial Pressure ( mmhg ) Goff Gratch equationppmv= Water Content ( ppmv )P Total = Total Pressure ( bara ) (WMO, 2008)

A B C8.07131 1730.63 233.426

Output

T Dew = 0.279449 oC

T= oC T= oK


Log10 ew = -7.90298 (373.16/T-1) + 5.02808 Log10(373.16/T)

- 1.3816 10-7 (1011.344 (1-T/373.16) -1) + 8.1328 10-3 (10-3.49149 (373.16/T-1) -1) + Log10(1013.246)

T=B

A−log 10( ppmv∗Ptotal∗7 .5∗10−̂4 )−C

P=ppmv∗Ptotal∗7 .5∗10−̂4

B. Water Content in ppmv to Dew Point in degC

1 Equations ( For Dew Point 0-374 oC )Antoine Constants for Water

A B C limit, oC Ptotal= 130 barg8.07131 1730.63 233.426 1-100 Ptotal= 131 bara8.14019 1810.94 244.485 101-374


1.502447

(WMO, 2008)

Use a goal seek to find Dew Point ( degC ) to Water Content ( ppmv )

1 Input Water Content ( ppmv ) below :

T (range )= 0 ~ 100 oC T (range )= 100 ~ 373 oC

Input Output Input Output

ppmv ppmv

100.00 11.05 10000.00 107.30

2 Use a goal seek to find Dew Point ( degC ) from Water Content ( ppmv )

T (range )= -60 ~ 0 oC



-15.00 258.00 0.2757 1.8867 0.00189 14.40 0.68


Log10 ew = -7.90298 (373.16/T-1)

+ 5.02808 Log10(373.16/T)

- 1.3816 10-7 (1011.344 (1-T/373.16) -1) + 8.1328 10-3 (10-3.49149 (373.16/T-1) -1) + Log10(1013.246)

T= oC T= oC

T= oC T= oK

T=B



-1)

A. Dew Point to Water Content in ppmv

1 Equations ( For Dew Point 0-374 oC )Antoine Constants for WaterA B C limit, oC Ptotal= 130 barg

8.07131 1730.63 233.426 1-100 Ptotal= 131 bara8.14019 1810.94 244.485 101-374

……(1) P …. mmHgT ….. C


(WMO, 2008)

…..(2)

1 Input Dew Point ( T= oC ) below :

T (range )= -75 ~ 100 oC ………….[ Use Equation (1) & (2) ]

Input Equation OutputP p=hpa p=bar ppmv lb/mmscf

1.43 274.43 5.0397803768 6.7190351983 0.00672 51.29 2.44

T (range )= 100 ~ 373 oC ………….[ Use Equation (1) ]


150.00 423.00 3544.4308081 4725.4351534 4.72544 36072.02 1712.82


Log10 ew = -7.90298 (373.16/T-1) + 5.02808 Log10(373.16/T)

- 1.3816 10-7 (1011.344 (1-T/373.16) -1)

+ 8.1328 10-3 (10-3.49149 (373.16/T-1) -1)

+ Log10(1013.246)

T= oC T= oK

T= oC T= oK

B. Water Content in ppmv to Dew Point in degC

1 Equations ( For Dew Point 0-374 oC )Antoine Constants for Water

A B C limit, oC Ptotal= 130 barg8.07131 1730.63 233.426 1-100 Ptotal= 131 bara8.14019 1810.94 244.485 101-374

…………..(3)


(WMO, 2008)

Use a goal seek to find Dew Point ( degC ) to Water Content ( ppmv )

1 Input Water Content ( ppmv ) below :

T (range )= 0 ~ 100 oC ……..[ Use Equation (3) ] T (range )= 100 ~ 373 oC ………..[ Use Equation (3) ]

Input Output Input Outputppmv ppmv

100.00 11.05 10000.00 107.30

2 Use a goal seek to find Dew Point ( degC ) from Water Content ( ppmv )

T (range )= -75 ~ 0 oC ………. [ Use Equation (2) ]


-50.00 223.00 -1.2048006146 0.0624 0.00006 0.48 0.02


Log10 ew = -7.90298 (373.16/T-1)

+ 5.02808 Log10(373.16/T)

- 1.3816 10-7 (1011.344 (1-T/373.16) -1) + 8.1328 10-3 (10-3.49149 (373.16/T-1) -1) + Log10(1013.246)

T= oC T= oC

T= oC T= oK

T=B



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dew point program.xls

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