GATE Chemical Engineering Syllabus


Subject Code: CH

Course Structure

Sections/Units Topics
Section A Engineering Mathematics
Unit 1 Linear Algebra
Unit 2 Calculus
Unit 3 Differential equations
Unit 4 Complex variables
Unit 5 Probability and Statistics
Unit 6 Numerical Methods
Section B Process Calculations and Thermodynamics
Section C Fluid Mechanics and Mechanical Operations
Section D Heat Transfer
Section E Mass Transfer
Section F Chemical Reaction Engineering
Section G Instrumentation and Process Control
Section H Plant Design and Economics
Section I Chemical Technology

Course Syllabus

Section A: Engineering Mathematics

Unit 1: Linear Algebra

  • Matrix algebra
  • Systems of linear equations
  • Eigen values
  • Eigenvectors

Unit 2: Calculus

  • Functions of single variable
  • Limit
  • Continuity and differentiability
  • Taylor series, Mean value theorems
  • Evaluation of definite and improper integrals
  • Partial derivatives
  • Total derivative
  • Maxima and minima
  • Gradient
  • Divergence and Curl
  • Vector identities
  • Directional derivatives
  • Line, Surface and Volume integrals
  • Stokes
  • Gauss and Green’s theorems

Unit 3: Differential Equations

  • First order equations (linear and nonlinear)
  • Higher order linear differential equations with constant coefficients
  • Cauchy’s and Euler’s equations
  • Initial and boundary value problems
  • Laplace transforms
  • Solutions of one dimensional heat and wave equations and Laplace equation

Unit 4: Complex variables

  • Complex number
  • Polar form of complex number
  • Triangle inequality

Unit 5: Probability and Statistics

  • Definitions of probability and sampling theorems
  • Conditional probability
  • Mean, median, mode and standard deviation
  • Random variables, Poisson, Normal and Binomial distributions
  • Linear regression analysis

Unit 6: Numerical Methods

  • Numerical solutions of linear and non-linear algebraic equations
  • Integration by trapezoidal and Simpson’s rule
  • Single and multi-step methods for numerical solution of differential equations

Section B: Process Calculations and Thermodynamics

  • Steady and unsteady state mass and energy balances including multiphase −
    • Multicomponent
    • Reacting and non-reacting systems
  • Use of tie components −
    • Recycle
    • Bypass
    • Purge calculations
  • Gibb’s phase rule and degree of freedom analysis

First and Second laws of thermodynamics

  • Applications of first law to close and open systems
  • Second law and Entropy
  • Thermodynamic properties of pure substances
  • Equation of State and residual properties −
    • Properties of mixtures Partial molar properties
    • Fugacity
    • Excess properties
    • Activity coefficients
  • Phase equilibria −
    • Predicting VLE of systems
    • Chemical reaction equilibrium

Section C: Fluid Mechanics and Mechanical Operations

  • Fluid statics

  • Newtonian and non-Newtonian fluids

  • Shell-balances including differential form of Bernoulli equation and energy balance

  • Macroscopic friction factors

  • Dimensional analysis and similitude

  • Flow through pipeline systems

  • Flow meters

  • Pumps and compressors

  • Elementary boundary layer theory

  • Flow past immersed bodies including packed and fluidized beds

  • Turbulent flow

  • Fluctuating velocity

  • Universal velocity profile

  • Pressure drop

  • Particle size and shape

  • Particle size distribution

  • Size reduction and classification of solid particles

  • Free and hindered settling

  • Centrifuge and cyclones

  • Thickening and classification, filtration, agitation and mixing

  • Conveying of solids

Section D: Heat Transfer

  • Steady and unsteady heat conduction
  • Convection and radiation
  • Thermal boundary layer and heat transfer coefficients
  • Boiling, condensation and evaporation
  • Types of heat exchangers and evaporators and their process calculations
  • Design of double pipe, shell and tube heat exchangers
  • Single and multiple effect evaporators

Section E: Mass Transfer

  • Fick’s laws
  • Molecular diffusion in fluids
  • Mass transfer coefficients
  • Film
  • Penetration
  • Surface renewal theories
  • Momentum, heat and mass transfer analogies
  • Stage-wise and continuous contacting and stage efficiencies
  • HTU & NTU concepts −
    • Design and operation of equipment for distillation
    • Absorption
    • Leaching
    • Liquid-liquid extraction
    • Drying
    • Humidification
    • Dehumidification
    • Adsorption

Section F: Chemical Reaction Engineering

  • Theories of reaction rates
  • Kinetics of homogeneous reactions
  • Interpretation of kinetic data
  • Single and multiple reactions in ideal reactors
  • Non-ideal reactors
  • Residence time distribution
  • Single parameter model
  • Non-isothermal reactors
  • Kinetics of heterogeneous catalytic reactions
  • Diffusion effects in catalysis

Section G: Instrumentation and Process Control

  • Measurement of process variables
  • Sensors
  • Transducers and their dynamics
  • Process modeling and linearization
  • Transfer functions and dynamic responses of various systems
  • Systems with inverse response
  • Process reaction curve
  • Controller modes (P, PI, and PID)
  • Control valves
  • Analysis of closed loop systems including stability
  • Frequency response
  • Controller tuning
  • Cascade and feed forward control

Section H: Plant Design and Economics

  • Principles of process economics and cost estimation including depreciation and total annualized cost

  • Cost indices

  • Rate of return

  • Payback period

  • Discounted cash flow

  • Optimization in process design and sizing of chemical engineering equipment such as compressors

  • Heat exchangers

  • Multistage contactors

Section I: Chemical Technology

  • Inorganic chemical industries (sulfuric acid, phosphoric acid, chlor-alkali industry)

  • Fertilizers (Ammonia, Urea, SSP and TSP)

  • Natural products industries (Pulp and Paper, Sugar, Oil, and Fats)

  • Petroleum refining and petrochemicals

  • Polymerization industries (polyethylene, polypropylene, PVC and polyester synthetic fibers)

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