# (Syllabus) GATE Examination (CH - CHEMICAL ENGINEERING)

**Syllabus
: ****GATE
Examination (National Level Entrance Exam****)**

CH - CHEMICAL ENGINEERING

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.