# (Syllabus) GATE 2011 : Examination Syllabus : (Chemical Engineering)

**GATE 2011 : Examination Syllabus**

## :: 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. .