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Preface | |
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Notation | |
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First and Second Laws | |
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Introduction | |
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The Molecular Nature of Energy | |
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Intermolecular potentials for mixtures | |
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The Molecular Nature of Entropy | |
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Brief Summary of Several Thermodynamic Quantities | |
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Basic Concepts | |
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Introduction to steam tables | |
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Interpolation | |
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Double interpolation | |
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Double interpolation using different tables | |
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Double interpolation using Excel | |
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Quality calculations | |
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Constant volume cooling | |
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Summary | |
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Homework Problems | |
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The Energy Balance | |
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Expansion/Contraction Work | |
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Shaft Work | |
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Work Associated With Flow | |
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Lost Work vs. Reversibility | |
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Isothermal compression of an ideal gas | |
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Path Properties and State Properties | |
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Work as a path function | |
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Heat Flow | |
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The Closed-System Energy Balance | |
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Internal energy and heat | |
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The Open-System, Steady-State Balance | |
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The Complete Energy Balance | |
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Internal Energy, Enthalpy, and Heat Capacities | |
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Enthalpy of H[subscript 2]O above its saturation pressure | |
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Adiabatic compression of an ideal gas in a piston/cylinder | |
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Transformation of kinetic energy into enthalpy | |
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Kinetic and Potential Energy | |
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On the relative magnitude of kinetic, potential, internal energy and enthalpy changes | |
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Energy Balances for Process Equipment | |
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The integral representing shaft work | |
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Strategies for Solving Process Thermodynamics Problems | |
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Closed and Steady-State Open Systems | |
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Adiabatic, reversible expansion of an ideal gas | |
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Continuous adiabatic, reversible compression of an ideal gas | |
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Continuous, isothermal, reversible compression of an ideal gas | |
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Heat loss from a turbine | |
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Unsteady-State Open Systems (Optional) | |
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Adiabatic expansion of an ideal gas from a leaky tank | |
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Adiabatically filling a tank with an ideal gas | |
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Adiabatic expansion of steam from a leaky tank | |
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Details of Terms in the Energy Balance (Optional) | |
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Summary | |
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Practice Problems | |
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Homework Problems | |
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Entropy | |
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The Concept of Entropy | |
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Microscopic View of Entropy | |
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Entropy change vs. volume change | |
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Entropy change of mixing ideal gases | |
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The Macroscopic Definition of Entropy | |
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Ideal gas entropy changes in a piston/cylinder | |
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Steam entropy changes in a piston/cylinder | |
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Entropy generation in a temperature gradient | |
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Entropy generation and lost work in a gas expansion | |
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The Entropy Balance | |
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Steady-state entropy generation | |
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Reversible work between heat reservoirs, lost work | |
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Entropy change of quenching | |
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The Carnot Engine | |
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Carnot Heat Pump | |
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Internal Reversibility | |
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Maximum/Minimum Work in Real Process Equipment | |
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Entropy Balance For Process Equipment | |
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Charts Including Entropy | |
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Turbine Calculations | |
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Turbine efficiency | |
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Multistage Turbines | |
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Pumps and Compressors | |
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Strategies for Applying the Entropy Balance | |
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Additional Steady-State Examples | |
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Heat pump analysis | |
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Entropy in a heat exchanger | |
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Unsteady-State Open Systems (Optional) | |
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Entropy change in a leaky tank | |
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An ideal gas leaking through a turbine (unsteady-state) | |
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The Entropy Balance in Brief | |
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Summary | |
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Practice Problems | |
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Homework Problems | |
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Thermodynamics of Processes | |
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The Carnot Cycle | |
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The Rankine Cycle | |
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Rankine cycle | |
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Two-phase turbine output | |
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Rankine Modifications | |
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Rankine with reheat | |
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Regenerative Rankine cycle | |
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Refrigeration | |
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Refrigeration by vapor-compression cycle | |
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Liquefaction | |
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Liquefaction of methane by the Linde process | |
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Internal Combustion Engines | |
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Air-standard Brayton cycle thermal efficiency | |
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Thermal efficiency of the Otto engine | |
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Thermal efficiency of a Diesel engine | |
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Fluid Flow | |
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Problem-Solving Strategies | |
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Practice Problems | |
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Homework Problems | |
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Generalized Analysis of Fluid Properties | |
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Classical Thermodynamics--Generalization to Any Fluid | |
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The Fundamental Property Relation | |
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Derivative Relations | |
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Pressure dependence of H | |
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Entropy change with respect to T at constant P | |
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Entropy as a function of T and P | |
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Entropy change for an ideal gas | |
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Entropy change for a simple non-ideal gas | |
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Application of the triple product relation | |
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TCH for an ideal gas | |
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Volumetric dependence of C[subscript V] for ideal gas | |
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Master equation for an ideal gas | |
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Relating C[subscript P] to C[subscript V] | |
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Advanced Topics (Optional) | |
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Summary | |
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Homework Problems | |
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Engineering Equations of State for PVT Properties | |
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Experimental Measurements | |
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Three-Parameter Corresponding States | |
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Generalized Compressibility Factor Charts | |
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Application of the generalized charts | |
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The Virial Equation of State | |
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Application of the virial equation | |
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Cubic Equations of State | |
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Solving the Equation of State for Z | |
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Solution of the Peng-Robinson equation for molar volume | |
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Application of the Peng-Robinson equation | |
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Implications of Real Fluid Behavior | |
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Derivatives of the Peng-Robinson equation | |
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The Molecular Theory Behind Equations of State | |
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Deriving your own equation of state | |
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Matching the Critical Point | |
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Critical parameters for the van der Waals equation | |
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Summary and Concluding Remarks | |
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Practice Problems | |
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Homework Problems | |
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Departure Functions | |
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The Departure Function Pathway | |
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Internal Energy Departure Function | |
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Entropy Departure Function | |
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Other Departure Functions | |
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Summary of Density-Dependent Formulas | |
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Enthalpy and entropy departures from the Peng-Robinson equation | |
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Real entropy in an engine | |
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Enthalpy departure for the Peng-Robinson equation | |
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Gibbs departure for the Peng-Robinson equation | |
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Pressure-Dependent Formulas | |
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Application of pressure-dependent formulas in compression of methane | |
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Reference States | |
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Enthalpy and entropy from the Peng-Robinson equation | |
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Liquefaction revisited | |
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Adiabatically filling a tank with propane (optional) | |
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Generalized Charts for the Enthalpy Departure | |
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Summary | |
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Practice Problems | |
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Homework Problems | |
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Phase Equilibrium in a Pure Fluid | |
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Criteria for Equilibrium | |
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The Clausius-Clapeyron Equation | |
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Clausius-Clapeyron equation near or below the boiling point | |
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Shortcut Estimation of Saturation Properties | |
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Vapor pressure interpolation | |
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Application of the shortcut vapor pressure equation | |
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General application of the Clapeyron equation | |
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Changes in Gibbs Energy With Pressure | |
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Fugacity and Fugacity Coefficient | |
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Fugacity Criteria for Phase Equilibria | |
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Calculation of Fugacity (Gases) | |
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Calculation of Fugacity (Liquids) | |
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Calculation of Fugacity (Solids) | |
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Saturation Conditions from an Equation of State | |
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Vapor pressure from the Peng-Robinson equation | |
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Acentric factor for the van der Waals equation | |
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Summary | |
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Temperature Effects on G and f (Optional) | |
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Practice Problems | |
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Homework Problems | |
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Fluid Phase Equilibria in Mixtures | |
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Introduction to Multicomponent Systems | |
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Phase Diagrams | |
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Concepts | |
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Ideal Solutions | |
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Vapor-Liquid Equilibrium (VLE) Calculations | |
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Bubble and dew temperatures and isothermal flash of ideal solutions | |
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Emission Modeling | |
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Non-Ideal Systems | |
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Advanced Topics (Optional) | |
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Summary And Concluding Remarks | |
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Practice Problems | |
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Homework Problems | |
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Phase Equilibria in Mixtures by an Equation of State | |
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The virial equation for vapor mixtures | |
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A Simple Model for Mixing Rules | |
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Fugacity and Chemical Potential From An Eos | |
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K-values from the Peng-Robinson equation | |
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Differentiation of Mixing Rules | |
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Fugacity coefficient from the virial equation | |
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Fugacity coefficient for van der Waals equation | |
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Fugacity coefficient from the Peng-Robinson equation | |
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Vle Calculations by an Equation of State | |
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Bubble point pressure from the Peng-Robinson equation | |
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Isothermal flash using the Peng-Robinson equation | |
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Phase diagram for azeotropic methanol + benzene | |
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Phase diagram for nitrogen + methane | |
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Ethane + heptane phase envelopes | |
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Strategies for Applying Vle Routines | |
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Summary and Concluding Remarks | |
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Practice Problems | |
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Homework Problems | |
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Activity Models | |
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Excess Properties | |
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Modified Raoult's Law and Excess Gibbs Energy | |
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Activity coefficients and the Gibbs-Duhem relation (optional) | |
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VLE prediction using UNIFAC activity coefficients | |
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Determination of G[superscript E] From Experimental Data | |
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Gibbs excess energy for system 2-propanol + water | |
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Activity coefficients by the one-parameter Margules equation | |
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VLE predictions from the Margules one-parameter equation | |
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The Van Der Waals' Perspective | |
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Application of the van Laar equation | |
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Infinite dilution activity coefficients from van Laar theory | |
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VLE predictions using regular-solution theory | |
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Scatchard-Hildebrand versus van Laar theory for methanol + benzene | |
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Combinatorial contribution to the activity coefficient | |
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Polymer mixing | |
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Flory-Huggins and Van Der Waals' Theories (Optional) | |
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Local Composition Theory | |
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Local compositions in a 2-dimensional lattice | |
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Application of Wilson's equation to VLE | |
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Calculation of group mole fractions | |
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Detailed calculations of activity coefficients via UNIFAC | |
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Fitting Activity Models to Data (Optional) | |
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Using Excel for fitting model parameters | |
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T and P Dependence of Gibbs Energy (Optional) | |
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The Molecular Basis of Solution Models (Optional) | |
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Summary | |
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Practice Problems | |
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Homework Problems | |
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Liquid-Liquid Phase Equilibria | |
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The Onset of Liquid-Liquid Instability | |
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Simple liquid-liquid-vapor equilibrium (LLVE) calculations | |
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Stability and Excess Gibbs Energy | |
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LLE predictions using Flory-Huggins theory: polymer mixing | |
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LLE predictions using UNIFAC | |
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Plotting Ternary Lle Data | |
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Vlle With Immiscible Components | |
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Steam distillation | |
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Critical Points in Binary Liquid Mixtures (Optional) | |
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Liquid-liquid critical point of the Margules one-parameter model | |
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Liquid-liquid critical point of the Flory-Huggins model | |
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Excel Procedure for Binary, Ternary Lle (Optional) | |
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Summary | |
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Practice Problems | |
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Homework Problems | |
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Special Topics | |
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Phase Behavior | |
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Solid-Liquid Equilibria | |
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Eutectic behavior of chloronitrobenzenes | |
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Eutectic behavior of benzene + phenol | |
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Wax precipitation | |
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Residue Curves | |
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Homework Problems | |
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Reacting Systems | |
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Reacting Systems | |
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Reaction Coordinate | |
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Stoichiometry and the reaction coordinate | |
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Equilibrium Constraint | |
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Calculation of standard state Gibbs energy of reaction | |
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Reaction Equilibria for Ideal Solutions | |
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Computing the reaction coordinate | |
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Butadiene revisited | |
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Temperature Effects | |
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Equilibrium constant as a function of temperature | |
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Shortcut Estimation of Temperature Effects | |
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Application of the shortcut van't Hoff equation | |
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Energy Balances for Reactions | |
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Adiabatic reaction in an ammonia reactor | |
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General Observations About Pressure Effects | |
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Multireaction Equilibria | |
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Simultaneous reactions that can be solved by hand | |
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Solving multireaction equilibrium equations by EXCEL | |
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Direct minimization of the Gibbs energy with EXCEL | |
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Pressure effects for Gibbs energy minimization | |
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Simultaneous Reaction and Phase Equilibrium | |
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The solvent methanol process | |
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NO[subscript 2] absorption | |
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Electrolyte Thermodynamics | |
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Chlorine + water electrolyte solutions | |
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Solid Components in Reactions | |
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Thermal decomposition of methane | |
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Summary and Concluding Remarks | |
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Practice Problems | |
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Homework Problems | |
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Molecular Association and Solvation | |
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Association and Solvation | |
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Equilibrium Criteria | |
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Balance Equations | |
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Ideal Chemical Theory | |
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Compressibility factors in associating/solvating systems | |
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Dimerization of carboxylic acids | |
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Activity coefficients in a solvated system | |
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Chemical-Physical Theory | |
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Pure Species With Linear Association | |
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A Van Der Waals H-Bonding Model | |
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Molecules of H[subscript 2]O in a 100-ml beaker | |
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The Esd Equation for Associating Fluids | |
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Extension to Complex Mixtures | |
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Statistical Associating Fluid Theory (SAFT) | |
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Summary Analysis of Association Models | |
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Homework Problems | |
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Glossary | |
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Summary of Computer Programs | |
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HP48 Calculator Programs | |
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TI-85 Programs | |
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PC Programs for Pure Component Properties | |
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PC Programs for Mixture Phase Equilibria | |
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Reaction Equilibria | |
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How to Load Programs | |
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Downloading HP Programs | |
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Using Fortran Programs | |
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Notes on Excel Spreadsheets | |
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Notes on HP Calculator | |
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Disclaimer | |
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Mathematics | |
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Important Relations | |
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Solutions to Cubic Equations | |
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The Dirac Delta Function | |
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The Hard Sphere Equation of State | |
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The Square-Well Equation of State | |
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Strategy for Solving Vle Problems | |
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Eos Methods | |
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Activity Coefficient (Gamma-Phi) Method | |
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Models for Process Simulators | |
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Overview | |
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Equations of State | |
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Solutions Models | |
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Hybrid Models | |
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Recommended Decision Tree | |
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Thermal Properties of Mixtures | |
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Contamination from a reactor leak | |
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Literature Cited | |
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Pure Component Properties | |
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Ideal Gas Heat Capacities | |
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Liquid Heat Capacities | |
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Solid Heat Capacities | |
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Antoine Constants | |
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Latent Heats | |
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Enthalpies and Gibbs Energies of Formation | |
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Properties of Water | |
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Pressure-Enthalpy Diagram for Methane | |
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Pressure-Enthalpy Diagram for Propane | |
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Thermodynamic Properties of Hfc-134a | |
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Index | |