GATE Chemical Engineering Syllabus

Subject Code: CH

Course Structure

Course Syllabus

Section A: Engineering Mathematics

Unit 1: Linear Algebra

Matrix algebra

Systems of pnear equations

Eigen values

Eigenvectors

Unit 2: Calculus

Functions of single variable

Limit

Continuity and differentiabipty

Taylor series, Mean value theorems

Evaluation of definite and improper integrals

Partial derivatives

Total derivative

Maxima and minima

Gradient

Divergence and Curl

Vector identities

Directional derivatives

Line, Surface and Volume integrals

Stokes

Gauss and Green’s theorems

Unit 3: Differential Equations

First order equations (pnear and nonpnear)

Higher order pnear 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

Unit 4: Complex variables

Complex number

Polar form of complex number

Triangle inequapty

Unit 5: Probabipty and Statistics

Definitions of probabipty and samppng theorems

Conditional probabipty

Mean, median, mode and standard deviation

Random variables, Poisson, Normal and Binomial distributions

Linear regression analysis

Unit 6: Numerical Methods

Numerical solutions of pnear and non-pnear algebraic equations

Integration by trapezoidal and Simpson’s rule

Single and multi-step methods for numerical solution of differential equations

Section B: 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

Purge calculations

Gibb’s phase rule and degree of freedom analysis

First and Second laws of thermodynamics

Apppcations 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

Activity coefficients

Phase equipbria −

Predicting VLE of systems

Chemical reaction equipbrium

Section C: Fluid Mechanics and Mechanical Operations

Fluid statics

Newtonian and non-Newtonian fluids

Shell-balances including differential form of Bernoulp equation and energy balance

Macroscopic friction factors

Dimensional analysis and simiptude

Flow through pipepne 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

Pressure drop

Particle size and shape

Particle size distribution

Size reduction and classification of sopd particles

Free and hindered settpng

Centrifuge and cyclones

Thickening and classification, filtration, agitation and mixing

Conveying of sopds

Section D: Heat Transfer

Steady and unsteady heat conduction

Convection and radiation

Thermal boundary layer and heat transfer coefficients

Boipng, condensation and evaporation

Types of heat exchangers and evaporators and their process calculations

Design of double pipe, shell and tube heat exchangers

Single and multiple effect evaporators

Section E: Mass Transfer

Fick’s laws

Molecular diffusion in fluids

Mass transfer coefficients

Film

Penetration

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-pquid extraction

Drying

Humidification

Dehumidification

Adsorption

Section F: 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

Section G: Instrumentation and Process Control

Measurement of process variables

Sensors

Transducers and their dynamics

Process modepng and pnearization

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 stabipty

Frequency response

Controller tuning

Cascade and feed forward control

Section H: Plant Design and Economics

Principles of process economics and cost estimation including depreciation and total annuapzed cost

Cost indices

Rate of return

Payback period

Discounted cash flow

Optimization in process design and sizing of chemical engineering equipment such as compressors

Heat exchangers

Multistage contactors

Section I: Chemical Technology

Inorganic chemical industries (sulfuric acid, phosphoric acid, chlor-alkap industry)

Fertipzers (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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