34
Carbon Dioxide: Pressure - Enthalpy Diagram Melting Line -40 -40 o C - 20 - 20 t = 0 o C 0 20 20 40 40 60 60 80 80 100 100 120 120 140 140 160 160 180 180 200 200 220 220 240 o C 240 260 280 E n t r o p y = - 2 . 3 0 kJ/ kg , o C s = -2. 20 - 2 . 1 0 -2. 0 0 - 1 . 9 0 - 1 . 8 0 - 1 . 7 0 --1.60 -1.50 -1.40 -1.30 -1.20 -1.10 -1.00 -.70 -.90 -.80 -.60 -.50 -.40 -.30 -.20 -.10 s = 0 Sublimation Line Triple Point (5.18 bar, -56.558 o C) r = 1200 r = 1150 r = 1100 r = 1050 r = 1000 r = 900 r = 800 Density = 700 kg/m 3 r = 600 r= 500 r = 400 r = 300 r = 200 kg/m 3 r = 150 r = 100 r = 75 r = 50 r = 35 Density = 20 kg/m 3 r = 10 r = 25 r =15 r = 8 r = 6 1 10 100 1,000 -500 -400 -300 -200 -100 0 100 200 Enthalpy, kJ/kg Pressure, Bar Drawn with CO2Tab TM A Spreadsheet Add-in for the Thermodynamic and Transport Properties of Carbon Dioxide Copyright © 1999 ChemicaLogic Corporation www.chemicalogic.com CHEMICALOGIC ChemicaLogic Corporation, 8 Cedar Street, Suite 56, Woburn MA, 01801 USA Tel: 781.938.1151 Fax: 781.938.7722 www.chemicalogic.com THERMODYNAMIC AND TRANSPORT PROPERTIES OF CARBON DIOXIDE

Chart of Thermodynamic & Transport Properties of CO2 - Manual

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Page 1: Chart of Thermodynamic & Transport Properties of CO2 - Manual

Carbon Dioxide: Pressure - Enthalpy Diagram

Mel

ting

Line

-40

-40

o C

-20

-20

t = 0

o C

0

20

20

40

40

60

60

80

80

100

100

120

120

140

140

160

160

180

180

200

200

220

220

240

o C

240

260

280

Ent

ropy

= -

2.30

kJ/

kg,o C

s =

-2.

20

-2.1

0 -2.0

0

-1.9

0

-1.8

0

-1.7

0

--1.

60

-1.5

0

-1.4

0

-1.3

0

-1.2

0 -1.1

0

-1.0

0

-.70

-.90

-.80

-.60

-.50

-.40

-.30

-.20

-.10

s = 0

Sub

limat

ion

Line

Triple Point (5.18 bar, -56.558 oC)

r = 1

200

r = 1

150

r = 1

100

r = 1

050 r =

1000 r =

900r = 800

Density = 700 kg/m3

r = 600

r= 500

r = 400

r = 300

r = 200 kg/m3

r = 150

r = 100

r = 75

r = 50

r = 35

Density = 20 kg/m3

r = 10

r = 25

r =15

r = 8

r = 6

1

10

100

1,000

-500 -400 -300 -200 -100 0 100 200

Enthalpy, kJ/kg

Pre

ssu

re, B

ar

Drawn with CO2TabTM

A Spreadsheet Add-in for the Thermodynamic and Transport Properties of Carbon Dioxide

Copyright © 1999 ChemicaLogic Corporation

www.chemicalogic.com

CH

EM

ICA

LO

GIC

ChemicaLogic Corporation, 8 Cedar Street, Suite 56, Woburn MA, 01801 USATel: 781.938.1151 Fax: 781.938.7722

www.chemicalogic.com

THERMODYNAMIC AND TRANSPORT PROPERTIES OF CARBON DIOXIDE

Page 2: Chart of Thermodynamic & Transport Properties of CO2 - Manual

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Page 3: Chart of Thermodynamic & Transport Properties of CO2 - Manual

CHEMICALOGIC

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INTRODUCTION TO CO2TAB.............................................................................. 1

OVERVIEW AND FEATURES ....................................................................................... 1TECHNICAL SUPPORT AND CONTACT INFORMATION................................................. 3

GETTING STARTED............................................................................................... 5

MINIMUM SYSTEM REQUIREMENTS .......................................................................... 5INSTALLATION .......................................................................................................... 5

Quick Installation of CO2Tab................................................................................ 6Manual Installation of CO2Tab for Excel 97/2000 ............................................... 6

USING CO2TAB ......................................................................................................... 7Where is CO2Tab?................................................................................................. 7Setting CO2Tab Property Options......................................................................... 9Using the Saturated Properties Dialog Box........................................................ 10Using the Superheated/Subcooled Properties Dialog Box.................................. 11Using the Constant Properties Dialog Box......................................................... 13Using the Melting/Sublimation Dialog Box ........................................................ 14Using the Solubility in Water Dialog Box ........................................................... 15

FUNCTION REFERENCE .................................................................................... 17

OVERVIEW .............................................................................................................. 17FUNCTIONS FOR SATURATED PROPERTIES .............................................................. 21

CDPSAT.............................................................................................................. 21CDTSAT .............................................................................................................. 22

FUNCTIONS FOR SUPERHEATED OR SUBCOOLED PROPERTIES ................................. 22General Description............................................................................................ 23

FUNCTIONS FOR CONSTANT PROPERTIES ................................................................ 24MELTING AND SUBLIMATION LINE FUNCTIONS ...................................................... 25

General Description............................................................................................ 25FUNCTIONS FOR SOLUBILITY IN WATER.................................................................. 26

Range .................................................................................................................. 26CDSOLU ............................................................................................................. 26CDSOLUPP ........................................................................................................ 27

/LVW�RI�7DEOHV

7$%/(��� LIST OF FILES IN CO2TAB FOR EXCEL 97/2000 DISK ................................. 6

7$%/(��� OVERVIEW OF CO2TAB FUNCTIONS ......................................................... 18

7$%/(��� PROPERTY CODES FOR THERMODYNAMIC AND TRANSPORT PROPERTIES 20

7$%/(��� SOLUBILITY PROPERTY CODES................................................................. 26

Page 4: Chart of Thermodynamic & Transport Properties of CO2 - Manual

CHEMICALOGIC

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),*85(��� ACCESS TO CO2TAB IN EXCEL ................................................................. 8

),*85(��� CARBON DIOXIDE PROPERTY OPTIONS DIALOG...................................... 10

),*85(��� SATURATED PROPERTIES DIALOG .......................................................... 11

),*85(��� SUPERHEATED/SUBCOOLED DIALOG BOX .............................................. 13

),*85(��� CONSTANT PROPERTY DIALOG BOX....................................................... 14

),*85(��� MELTING/SUBLIMATION PROPERTY DIALOG BOX.................................. 15

),*85(��� SOLUBILITY IN WATER PROPERTY DIALOG BOX .................................... 16

Page 5: Chart of Thermodynamic & Transport Properties of CO2 - Manual

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Page 6: Chart of Thermodynamic & Transport Properties of CO2 - Manual

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Page 32: Chart of Thermodynamic & Transport Properties of CO2 - Manual

CHEMICALOGIC

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Page 33: Chart of Thermodynamic & Transport Properties of CO2 - Manual

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CHEMICALOGIC

Function Calculates at Specified Calling Sequence Example

Saturated Vapor, Liquid, and Two-Phase Functions

CDPSAT pressure (P) CDPSAT(pressure, quality, code, units)

CDTSAT temperature (T) CDTSAT(temperature, quality, code, units)

Superheated or Subcooled Functions

CDTP temperature and pressure (T-P) CDTP(temperature, pressure, code, units)

CDTV temperature and volume (T-V) CDTV(temperature, volume, code, units)

CDTH temperature and enthalpy (T-H) CDTH(temperature, enthalpy, code, units)

CDTS temperature and entropy (T-S) CDTS(temperature, entropy, code, units)

CDTU temperature and internal energy (T-U) CDTU(temperature, internal, code, units)

CDPV pressure and volume (P-V) CDPV(pressure, volume, code, units)

CDPH pressure and enthalpy (P-H) CDPH(pressure, enthalpy, code, units)

CDPS pressure and entropy (P-S) CDPS(pressure, entropy, code, units)

CDPU pressure and internal energy (P-U) CDPU(pressure, internal, code, units)

Melting and Sublimation Functions

CDPMELT pressure at specified temperature (T) CDPMELT(temperature, units)

CDTMELT temperature at specified pressure (P) CDTMELT(pressure, units)

CDPSUBL pressure at specified temperature (T) CDPSUBL(temperature, units)

CDTSUBL temperature at specified pressure (P) CDTSUBL(pressure, units)

Solubility in Water Functions

CDSOLU temperature and total pressure CDSOLU(temperature, pressure, code, units)

CDSOLUPP temperature and CO2 partial pressure CDSOLUPP(temperature, pressure, code, units)

Constant Properties Functions

CDWM Molecular weight CDMW(units)

CDTC Critical temperature CDTC(units)

CDPC Critical pressure CDPC(units)

CDVC Critical specific volume CDVC(units)

CDRC Critical specific density CDRC(units)

CDZC Critical compressibility factor CDZC(units)

CDTPT Triple point temperature CDTPT(units)

CDTPP Triple point pressure CDTPP(units)

CDTMIN Minimum temperature range CDTMIN(units)

CDTMAX Maximum temperature range CDTMAX(units)

CDPMIN Minimum pressure range CDPMIN(units)

CDPMAX Maximum pressure range CDPMAX(units)

Quality (vapor mass fraction)

0 Saturated Liquid

1 Saturated Vapor

0 < Q < 1 Two-phase

-1* Indeterminate*

-2* Superheated vapor*

-3* Subcooled liquid*

Units

0 or none Metric/SI

1 English

Cannot be specified as a function argument. Only returned as a calculated value.

Page 34: Chart of Thermodynamic & Transport Properties of CO2 - Manual

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CHEMICALOGIC

Code Carbon Dioxide Property Metric/SI Units English Units

0 T Temperature, T °C °F

1 P Pressure, P bar psia

2 V Volume, V m3/kg ft3/lb

3 D Density, ρ kg/m3 lb/ft3

4 Z Compressibility factor, Z dimensionless dimensionless

5 A Helmoltz free energy, A kJ/kg Btu/lb

6 S Entropy, S kJ/(kg·°C) Btu/(lb·°F)

7 U Internal energy, U kJ/kg Btu/lb

8 H Enthalpy, H kJ/kg Btu/lb

9 G Gibbs free energy, G kJ/kg Btu/lb

10 CV Heat capacity at constant volume, vC kJ/(kg·°C) Btu/(lb·°F)

11 CP Heat capacity at constant pressure, pC kJ/(kg·°C) Btu/(lb·°F)

12 W Speed of sound, v m/s ft/s

13 ALPHA Coefficient of thermal expansion, ( )PTV ∂∂= ρα 1/°C 1/°F

14 KAPPA Isothermal compressibility, ( )TPV ∂∂−= ρκ 1/bar 1/psia

15 DPDT dpdt, ( )VTP ∂∂ bar/°C psia/°F

16 DVDT dvdt, ( )PTV ∂∂ m3/(kg·°C) ft3/(lb·°F)

17 DVDP dvdp, ( )TPV ∂∂ m3/(kg·bar) ft3/(lb·psi)

18 MU Viscosity (dynamic), µ µPa·s lb/(ft·hr)

19 KT Thermal conductivity, K W/(m·°C) Btu/(hr·ft·°F)

20 ST Surface tension, σ N/m N/m

21 PR Prandtl number, PrN dimensionless dimensionless

22 DC Static dielectric constant dimensionless dimensionless

23 IJT Isothermal Joule-Thomson coefficient kJ/(kg·bar) Btu/(lb·psia)

24 JT Joule-Thomson coefficient °C/bar °F/psia

25 Q Quality (vapor mass fraction) dimensionless dimensionless

Code Solubility in Water Property Metric/SI Units English Units

0 XCO2 Liquid mole fraction of CO2 (molar solubility) dimensionless dimensionless

1 YCO2 Vapor mole fraction of CO2 dimensionless dimensionless

2 XWCO2 Liquid mass fraction of CO2 (mass solubility) dimensionless dimensionless

3 YWCO2 Vapor mass fraction of CO2 dimensionless dimensionless