The exhaustive list of topics in Mass Transfer Operations in which we provide **Help with Homework Assignment** and **Help with Project** is as follows:

**Diffusion Mass Transfer:**- Mass transfer and diffusion, molecular diffusion in gases, liquids, biological solutions and gels
- Diffusivity measurement and prediction , multicomponent diffusion, molecular diffusion in solids
- Numerical methods for steady-state molecular diffusion in two dimension

**Mass Transfer Coefficients:**- Concept of mass transfer coefficients, mass transfer under laminar and turbulent flow past solids
- Boundary layers, theories of mass transfer and their applications, interphase mass transfer
- Equilibrium and diffusion between phases
- Use of mass transfer coefficients, mass transfer coefficients for different geometries, material balances and stages

**Equipment for Gas-Liquid Operations:**- Sparged and agitated vessels, venture scrubber, wetted wall towers
- Tray and packed towers, mass transfer coefficients for packed towers

**Absorption:**- Theory and modeling of plate columns, non-isothermal operation (modeling of plate columns)
- Modeling of packed columns, introduction to multicomponent absorption

**Distillation:**

- Flash distillation, differential distillation, continuous fractionation, modeling by method of McCabe & Thiele
- Multicomponent distillation, azeotropic distillation, extractive distillation
**Mass transfer operations in process industries:**- Absorption
- Distillation
- Extraction
- Adsorption
- Drying
- Design and performance of unit

**Operations:**- Rate and equilibrium stage based modeling approaches

**Mass transfer:**- Diffusion
- Fick's first law
- Mass transfer coefficients
- Film theory/surface renewal theory/boundary layer theory
- Cocurrent, counter current and cross-current continuous contact
- Material balance and operating line

**Equilibrium stage modeling:**- Co-current cascades
- Counter-current cascades
- Cross-current cascades
- Operating and equilibrium lines
- Number of equilibrium stages

**Absorption****Equilibrium approach:**- Henry's law, Raoult's law
- Material balance
- Operating line
- Minimum liquid flowrates
- Number of equilibrium stages
- Deviation from ideal systems (Murphee efficiency)

**Rate approach:**- Number of transfer units (NTU)
- Height of transfer units (HTU) Packed and staged columns

**Hydrodynamic considerations:**- Loading/flooding criterion
- Pressure-drops

**Distillation:**- Vapor-liquid equilibrium
- T-x-y diagram
- Bubble and dew point calculations
- Flash calculations
- Ponchon-Savarit and McCabe-Thiele method for equilibrium stage calculations
- Minimum and total reflux., optimum design

**Deviation from ideal VLE:**- Azeoptropic distillation
- Packed column design
- Complex distillation columns
- Fenske- Underwood-Gilliland shortcut method for multi-component distillation Design

**Extraction:**- Ternary liquid-liquid equilibrium
- Triangular coordinates
- Single-stage extraction
- Multi-stage cross-current extraction
- Continuous countercurrent multistage extraction

**Adsorption and ion exchange:**- Physical and chemical adsorption
- Adsorbents
- Adsorption equilibrium and isotherms
- Single-stage, multi-stage cross-current and multi-stage counter current operations
- Equilibrium and operating lines
- Liquid-solid agitated vessel adsorber
- Packed continuous contactor
- Breakthrough curves
- Rate equations for non-porous and porous adsorbents
- Nonisothermal operation
- Pressure-swing adsorption
- Principles of ion exchange
- Analogy between adsorption and ion exchange

**Drying:**- Equilibrium
- Insoluble and soluble liquids
- Drying rate curve
- Rate and time of batch drying
- Mechanisms of batch drying
- Continuous drying