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GATE Online Preparation - 2019

We fill the gap between Aspiration & Reality of GATE

GATE 2019 Syllabus for Chemical Engineering

Engineering Mathematics


Linear Algebra
  • Matrix algebra

  • Systems of linear equations

  • Eigen values and Eigen vectors

Ordinary Differential Equation ( ODE )
  • First order ( linear and non – linear ) equations

  • higher order linear equations with constant coefficients

  • Euler – Cauchy equations

  • Laplace transform and its application in solving linear ODEs

  • Initial and boundary value problems.

Calculus
  • Functions of single variable

  • Limit, continuity and differentiability

  • Mean value theorems

  • local maxima and minima

  • Taylor and Maclaurin series

  • Evaluation of definite and indefinite integrals

  • application of definite integral to obtain area and volume

  • Partial derivatives

  • Total derivative

  • Gradient

  • Divergence and Curl, Vector identities

  • Directional derivatives

  • Line, Surface and Volume integrals

  • Stokes

  • Gauss and Green's theorems.

Partial Differential Equation ( PDE ) : Fourier series
  • separation of variables

  • solutions of onedimensional diffusion equation

  • first and second order one – dimensional wave equation and two-dimensional Laplace equation.

Probability and Statistics
  • Definitions of probability and sampling theorems

  • Conditional probability

  • Discrete Random variables

  • Poisson and Binomial distributions

  • Continuous random variables

  • normal and exponential distributions

  • Descriptive statistics – Mean, median, mode and standard deviation

  • Hypothesis testing.

Numerical Methods
  • Accuracy and precision

  • error analysis

  • Numerical solutions of linear and non – linear algebraic equations

  • Least square approximation

  • Newton's and Lagrange polynomials

  • numerical differentiation

  • Integration by trapezoidal and Simpson's rule

  • single and multi – step methods for first order differential equations.

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 and 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 and activity coefficients

  • phase equilibria

  • predicting VLE of systems; chemical reaction equilibrium.

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 and 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.

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, and

  • single and multiple effect evaporators.

  • Fick's laws,

  • molecular diffusion in fluids

  • mass transfer coefficients

  • film

  • penetration and 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

  • dehumidification

  • dehumidification and adsorption.

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.

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.

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 equipments such as compressors, heat exchangers, multistage contactors.

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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