Syllabi for GATE Papers:Chemical Engineering – CH

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ENGINEERING MATHEMATICS
Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.
Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of
definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and
Curl, Vector dentities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.
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.
Complex variables:Analytic functions, Cauchy’s integral theorem, Taylor and Laurent series, Residue theorem.
Probability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean,
median, mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal
GATE 2009 GRADUATE APTITUDE TEST IN ENGINEERING
24/80 Organizing Institute: IIT, Roorkee
and Simpson’s rule, single and multi-step methods for differential equations.
CHEMICAL ENGINEERING
Process Calculations and Thermodynamics: Laws of conservation of mass and energy; use of tie components;
recycle, bypass and purge calculations; degree of freedom analysis. First and Second laws of thermodynamics.
First law application to close and open systems. Second law and Entropy Thermodynamic properties of pure
substances: equation of state and departure function, properties of mixtures: partial molar properties, fugacity,
excess properties and activity coefficients; phase equilibria: predicting VLE of systems; chemical reaction equilibria.
Fluid Mechanics and Mechanical Operations: Fluid statics, Newtonian and non-Newtonian fluids, Bernoulli
equation, Macroscopic friction factors, energy balance, dimensional analysis, shell balances, flow through pipeline
systems, flow meters, pumps and compressors, packed and fluidized beds, elementary boundary layer theory, size
reduction and size separation; free and hindered settling; centrifuge and cyclones; thickening and classification,
filtration, mixing and agitation; conveying of solids.
Heat Transfer: Conduction, convection and radiation, heat transfer coefficients, steady and unsteady heat
conduction, boiling, condensation and evaporation; types of heat exchangers and evaporators and their design.
Mass Transfer: Fick’s laws, molecular diffusion in fluids, mass transfer coefficients, film, penetration and surface
renewal theories; momentum, heat and mass transfer analogies; stagewise and continuous contacting and stage
efficiencies; HTU & NTU concepts design and operation of equipment for distillation, absorption, leaching,
liquid-liquid extraction, drying, humidification, 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,
transfer functions and dynamic responses of simple systems, process reaction curve, controller modes (P, PI, and
PID); control valves; analysis of closed loop systems including stability, frequency response and controller
tuning, cascade, feed forward control.
Plant Design and Economics: Process design and sizing of chemical engineering equipment such as compressors,
heat exchangers, multistage contactors; principles of process economics and cost estimation including total
annualized cost, cost indexes, rate of return, payback period, discounted cash flow, optimization in design.
Chemical Technology: Inorganic chemical industries; sulfuric acid, NaOH, 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.