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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
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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
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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
CHEMICALOGIC
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),*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
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CHEMICALOGIC
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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.
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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