4.2 Binary and multicomponent distillation

4 min readjuly 24, 2024

is a key separation process in chemical engineering. It uses differences in component volatilities to separate liquid mixtures into purified products. The graphically analyzes binary distillation, while equilibrium stage calculations model vapor-liquid interactions.

Column design optimizes separation efficiency and economics. Key parameters include the number of stages, feed location, and . For complex systems, shortcut methods like the Fenske and Underwood equations estimate minimum stages and reflux ratios. Azeotropes can limit separation, requiring special techniques to overcome.

Binary Distillation

Design of binary distillation columns

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  • McCabe-Thiele method graphically analyzes binary distillation using y-x diagram
    • Assumes constant molar overflow, negligible heat of mixing, adiabatic operation
    • Operating lines connect equilibrium stages representing vapor-liquid contact
    • Minimum reflux ratio determined at pinch point where q-line intersects equilibrium curve
  • Equilibrium stage calculations use VLE data to model vapor-liquid interactions
    • express component volatility ratio in vapor vs liquid phases
    • α\alpha compares K-values of two components, simplifies calculations
  • Non-ideal systems deviate from Raoult's law due to molecular interactions
    • γi\gamma_i account for non-ideal behavior in liquid phase
    • Azeotropes form when vapor and liquid compositions become equal, limiting separation
  • Column design parameters optimize separation efficiency and economics
    • Number of theoretical stages calculated using McCabe-Thiele diagram or shortcut methods
    • Feed stage location balances rectifying and stripping sections
    • Reflux ratio affects separation quality and energy consumption (higher reflux = better separation but more energy)
  • Material and energy balances ensure conservation of mass and energy
    • Overall column balance accounts for feed, distillate, and bottoms streams
    • Individual stage balances track component flows between stages
  • sizing determines physical dimensions
    • Column diameter calculated based on vapor velocity and flooding considerations
    • and concepts relate packing height to separation difficulty

Analysis of multicomponent distillation systems

  • estimates minimum stages for specified separation
    • Relates number of stages to relative volatility and product purities
    • Focuses on separation of key components (light key LK, heavy key HK)
  • determines minimum reflux ratio
    • Involves iterative solution for non-key component distribution
    • Accounts for relative volatilities of all components
  • relates actual to minimum stages and reflux ratios
    • Empirical correlation based on extensive data from various systems
    • Allows quick estimation of actual number of stages or reflux ratio
  • approximates optimal feed stage location
    • Based on and desired split between key components
    • Provides starting point for more rigorous design calculations
  • Shortcut method assumes constant relative volatilities, total condenser, total reboiler
  • Application to complex systems requires careful component selection
    • Light and heavy keys chosen based on desired separation and relative volatilities
    • Non-key components distributed between products based on volatilities relative to keys

Azeotropes in distillation processes

  • Azeotropes form when vapor and liquid compositions become identical
    • Minimum boiling azeotropes boil below pure component boiling points (ethanol-water)
    • Maximum boiling azeotropes boil above pure component boiling points (acetone-chloroform)
    • Pressure-sensitive azeotropes change composition with pressure (ethanol-benzene)
  • formation stems from non-ideal molecular interactions
    • Hydrogen bonding, dipole-dipole forces, or dispersion forces alter vapor pressures
    • Deviations from Raoult's law lead to non-ideal mixture behavior
  • Azeotropes impact distillation by creating separation barriers
    • Limit achievable product purities beyond azeotropic composition
    • Can result in multiple steady states depending on initial conditions
    • Affect column operation near pinch points, influencing reflux ratio requirements
  • Strategies to overcome azeotropic limitations:
    1. Pressure-swing distillation exploits pressure-sensitive azeotropes
    2. Extractive distillation adds solvent to alter relative volatilities
    3. Heterogeneous azeotropic distillation uses phase splitting to break azeotrope

Selection of column internals

  • Tray columns use horizontal plates to contact vapor and liquid
    • Sieve trays have simple perforations, bubble cap trays use capped risers, valve trays have movable caps
    • Tray efficiency measures actual vs theoretical performance (typically 60-80%)
    • Weeping (liquid flowing through perforations) and flooding (excessive liquid holdup) limit operation
  • Packed columns use structured or random packing material
    • Random packing (Raschig rings, Pall rings, saddles) dumped into column
    • Structured packing offers lower pressure drop, higher efficiency (corrugated sheets)
    • HETP concept relates packing height to equivalent theoretical stage
  • Selection criteria balance performance, cost, and system requirements
    • Capacity determines maximum throughput, turndown ratio affects flexibility
    • Pressure drop impacts energy consumption, especially for vacuum systems
    • Fouling tendency and corrosion resistance affect long-term reliability
  • Hydraulic considerations ensure proper liquid and vapor flow
    • Liquid and vapor flow rates determine loading and flooding limits
    • Physical properties (viscosity, surface tension, density) affect wetting and mass transfer
  • Economic factors include both capital and operating costs
    • Initial investment vs long-term energy and maintenance expenses
    • Trays generally cheaper for large diameter columns, packing for smaller diameters
  • Special applications may require specific internal designs
    • High-purity separations benefit from structured packing's efficiency
    • Vacuum distillation needs low pressure drop internals (structured packing)
    • Reactive distillation combines reaction and separation, may need catalyst-coated internals

Key Terms to Review (26)

Activity Coefficients: Activity coefficients are numerical factors that express the deviation of a solution's behavior from ideality, particularly in the context of mixtures. They play a critical role in understanding how components interact in a solution, affecting properties such as vapor pressure and concentration during processes like binary and multicomponent distillation. By indicating how much the presence of other substances alters a component's effective concentration, activity coefficients help predict separation efficiency.
Azeotrope: An azeotrope is a mixture of two or more liquids that maintains a constant boiling point and composition during distillation, behaving like a single substance. This occurs when the vapor phase has the same composition as the liquid phase at certain proportions, which complicates separation processes. Azeotropes can be minimum boiling or maximum boiling, affecting how mixtures can be separated through techniques like distillation.
Binary Distillation: Binary distillation is a separation process that involves the distillation of a mixture containing two components with different boiling points. This technique is primarily used to separate and purify these two components from each other, making it essential in various industrial applications, particularly in the chemical and petrochemical industries. The efficiency of binary distillation relies on the principles of vapor-liquid equilibrium, where the more volatile component is preferentially vaporized and separated from the less volatile one.
Boiling point: The boiling point is the temperature at which a liquid's vapor pressure equals the external pressure surrounding it, causing it to change into vapor. This temperature is crucial for separating components in mixtures, as different substances have different boiling points, allowing for effective separation through various processes. Additionally, the boiling point can be influenced by factors like pressure and the presence of solutes, making it an essential parameter in industrial applications.
Dew Point Calculation: Dew point calculation is the process of determining the temperature at which a vapor will condense into a liquid, given a specific pressure and composition. This concept is crucial in binary and multicomponent distillation because it helps in identifying the conditions under which separation of components occurs and aids in the design of distillation equipment. Understanding dew point enables engineers to optimize processes by predicting phase changes during vapor-liquid equilibrium, ultimately enhancing efficiency in separating mixtures.
Distillation Column: A distillation column is a vertical vessel used to separate components of a liquid mixture based on differences in their boiling points through the process of distillation. This separation method is crucial for purifying liquids and has significant applications in various industries such as petrochemical, pharmaceutical, and food processing.
Enthalpy: Enthalpy is a thermodynamic property that represents the total heat content of a system, defined as the sum of its internal energy and the product of its pressure and volume. This concept is crucial for understanding energy transfers during various processes, especially in chemical reactions and phase changes, where heat is absorbed or released. It plays a vital role in analyzing energy balances in different separation processes.
Feed Composition: Feed composition refers to the specific makeup of the mixture entering a separation process, indicating the proportions and types of components present. Understanding feed composition is crucial as it influences the efficiency of the separation operation, especially in processes like distillation where varying boiling points and volatilities of components affect the outcome. The feed's characteristics can dictate how effectively components are separated based on their physical and chemical properties.
Fenske Equation: The Fenske Equation is a mathematical expression used to estimate the minimum number of theoretical plates required for the distillation of a binary mixture to achieve a desired separation. This equation is particularly relevant in the context of binary and multicomponent distillation processes, as it helps in determining how effectively a distillation column can separate components based on their volatility. Understanding this equation is crucial for column design and sizing, as well as for the conceptual design of separation processes.
Fractional distillation: Fractional distillation is a separation process used to separate a mixture of liquids into its individual components based on differences in their boiling points. This method relies on the principles of vapor-liquid equilibrium, where the composition of vapor and liquid phases changes as the temperature varies, allowing for the effective separation of components in both binary and multicomponent mixtures.
Gilliland Correlation: The Gilliland Correlation is a mathematical relationship used in chemical engineering to estimate the number of theoretical stages required for the distillation of binary and multicomponent mixtures. This correlation helps determine how efficiently a distillation column operates, particularly in relation to the vapor and liquid flow rates within the column. By providing insights into stage efficiency and operational parameters, it becomes essential for optimizing distillation processes.
Htu: The height of a transfer unit (htu) is a crucial concept in separation processes, particularly in distillation, that indicates the height of packing or the distance through which a vapor or liquid must travel to achieve a specific level of mass transfer efficiency. It helps in understanding how well a distillation column performs by providing insight into the required height to separate components based on their volatilities. A lower htu signifies more efficient mass transfer and better separation performance.
K-values: K-values, or equilibrium constants, represent the ratio of concentrations of a solute in two phases at equilibrium. They are essential for understanding the distribution of components in separation processes like distillation and absorption. K-values help to determine how well a mixture can be separated based on the volatility or solubility of its components, making them crucial for designing efficient separation systems.
Kirkbride Equation: The Kirkbride Equation is a mathematical relationship used to describe the vapor-liquid equilibrium of binary mixtures in distillation processes. This equation helps predict the composition of vapor and liquid phases, which is essential for designing and optimizing distillation columns in both binary and multicomponent systems.
McCabe-Thiele Method: The McCabe-Thiele Method is a graphical technique used for designing and analyzing distillation processes, specifically for binary mixtures. It helps in visualizing the number of theoretical stages required for separation based on vapor-liquid equilibrium data, allowing engineers to optimize the distillation column’s efficiency and performance.
Murphree Efficiency: Murphree Efficiency is a measure of the effectiveness of a distillation tray or column in achieving separation between components in a mixture. It quantifies how well a tray performs relative to an ideal tray under the same operating conditions, allowing for a better understanding of separation processes in both binary and multicomponent systems. This efficiency is essential for optimizing design and operation parameters to enhance product purity and yield.
Ntu: NTU, or Number of Transfer Units, is a dimensionless measure used to evaluate the efficiency of a separation process, particularly in distillation. It helps in quantifying how effectively a column can separate components based on their volatilities. A higher NTU indicates better separation performance, allowing for the design and optimization of both binary and multicomponent distillation systems.
Operating Pressure: Operating pressure is the pressure at which a separation process, such as distillation, is conducted to achieve optimal efficiency and desired separation of components. This parameter is crucial because it affects the volatility of the components being separated, impacts energy consumption, and influences the design and performance of the separation equipment.
Overall Mass Transfer Coefficient: The overall mass transfer coefficient is a crucial parameter that quantifies the efficiency of mass transfer between two phases in a separation process. It incorporates the resistance to mass transfer in both phases, allowing for a comprehensive understanding of how effectively substances move from one phase to another. This coefficient is essential for designing and analyzing processes like distillation and absorption, where phase interactions are key to achieving desired separations.
Packed column: A packed column is a type of vertical vessel used in various separation processes where packing material creates a large surface area for mass and heat transfer between phases. This design enhances the efficiency of operations like distillation, absorption, and extraction by promoting contact between the liquid and vapor or gas phases. The choice of packing material and its arrangement greatly influences the performance of the column, affecting factors such as pressure drop, flooding limits, and overall mass transfer rates.
Reflux Ratio: Reflux ratio is the ratio of the amount of liquid that is returned to the distillation column to the amount of liquid that is collected as distillate product. This concept is crucial in distillation processes because it directly affects the separation efficiency, product purity, and energy consumption. A higher reflux ratio generally leads to better separation and higher purity of the desired component, but it also requires more energy and equipment capacity.
Relative volatility: Relative volatility is a measure of the tendency of a component in a mixture to vaporize compared to another component, indicating how easily one substance can be separated from another during distillation. This concept is essential in understanding the efficiency of separation processes, as it directly influences the design and operation of distillation columns and helps predict the behavior of mixtures in vapor-liquid equilibrium.
Separation Factor: The separation factor is a quantitative measure that indicates the efficiency of a separation process by defining the relative concentration of components in two phases, often expressed as a ratio. This factor plays a crucial role in determining how effectively different components can be separated in various processes, guiding decisions in system design, operational parameters, and optimization strategies.
Trayed Column: A trayed column is a type of distillation column that utilizes a series of horizontal plates, or trays, to facilitate the contact between vapor and liquid phases during separation processes. This design enhances the efficiency of mass transfer by allowing vapor to rise through the trays while liquid flows down, creating a countercurrent exchange that aids in separating components based on their volatility. The effectiveness of trayed columns makes them commonly used in binary and multicomponent distillation operations.
Underwood Equation: The Underwood Equation is a mathematical relationship used in the field of distillation to determine the minimum number of theoretical stages required for a binary separation process. This equation connects the operating conditions and the feed composition to the vapor-liquid equilibrium data, which are essential for designing distillation columns. By utilizing this equation, engineers can optimize the separation of components in both binary and multicomponent distillation systems.
Vapor-Liquid Equilibrium: Vapor-liquid equilibrium (VLE) is a state where the rates of evaporation and condensation of a liquid are equal, resulting in a stable balance between its vapor and liquid phases. This concept is essential in various separation processes, as it helps to understand how mixtures behave and how components can be separated based on their volatilities.
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