GATE SYLLABUS FOR CHEMICAL ENGINEERING (CH)

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 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.

Source: www.iitd.ac.in

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