**GATE Chemical Engineering Syllabus (CH): **GATE Syllabus is based on the different stream according to the qualifying examination. IIT Madras has define GATE syllabus in this year according to the 23 papers. These will be conducted for admissions to the M.Tech programmes which is offered by the** IITs **and IISC. The GATE syllabus 2019 will be same according to the previous year. The national level engineering entrance exam will be conducted for post graduation courses on February 2rd & 3th and February 9th & 10th, 2019. Candidates need to review GATE syllabus 2019 for the stream that they will be appearing for.The syllabus defines that what are the topics their subtopics they need to prepares for the appearing examination.Candidates can download **GATE syllabus 2019** from below given table where the syllabus are given for every stream. The syllabus is the very important part of the examination because it plays an important role in the examination.

**GATE 2019 Exam Dates has been released now, Click Here for more information**

**GATE Chemical Engineering Syllabus (CH)**

GATE Chemical Engineering Syllabus (CH) consists of nine sections such as **Engineering Mathematics**, Process Calculations and Thermodynamics , Fluid Mechanics and Mechanical Operations, Heat Transfer, Mass Transfer, Chemical Reaction Engineering, Instrumentation and Process Control, Plant Design and Economics and Chemical Technology.

**So lets discuss GATE Chemical Engineering Syllabus (CH)**

**GATE Chemical Engineering Syllabus (CH) – Engineering Mathematics**

### Linear Algebra

**Algebra of matrices:** Inverse and rank of a matrix; System of linear equations; Symmetric, skew-symmetric and orthogonal matrices; Determinants; Eigenvalues and eigen vectors, Diagonalisation of matrices; Cayley-Hamilton Theorem.

### Calculus

**Functions of single variable:** Limit, continuity and differentiability; Mean value theorems, Indeterminate forms and L’Hospital’s rule; Maxima and minima; Taylor’s theorem, Fundamental theorem and mean value-theorems of integral calculus; Evaluation of definite and improper integrals; Applications of definite integrals to evaluate areas and volumes.

**Functions of two variables:** Limit, continuity and partial derivatives; Directional derivative, Total derivative; Tangent plane and normal line; Maxima, minima and saddle points, Method of Lagrange multipliers; Double and triple integrals, and their applications.

**Sequence and series:** Convergence of sequence and series; Tests for convergence, Power series; Taylor’s series; Fourier Series; Half range sine and cosine series.

### Vector Calculus

Gradient, divergence and curl; Line and surface integrals; Green’s theorem, Stokes theorem and Gauss divergence theorem (without proofs).

### Complex Variable

Analytic functions; Cauchy-Riemann equations; Line integral, Cauchy’s integral theorem and integral formula (without proof); Taylor’s series and Laurent series; Residue theorem (without proof) and its applications.

### Ordinary Differential Equation

First order equations (linear and nonlinear); Higher order linear differential equations with constant coefficients; Second order linear differential equations with variable coefficients; Method of variation of parameters; Cauchy-Euler equation; Power series solutions; Legendre polynomials, Bessel functions of the first kind and their properties.

### Partial Differential Equation

Classification of second order linear partial differential equations; Method of separation of variables; Laplace equation; Solutions of one dimensional heat and wave equations.

### Probability

Axioms of probability; Conditional probability; Bayes’ Theorem; Discrete and continuous random variables: Binomial, Poisson and normal distributions; Correlation and linear regression.

### Numerical Methods

Solution of systems of linear equations using LU decomposition, Gauss elimination and Gauss-Seidel methods; Lagrange and Newton’s interpolations, Solution of polynomial and transcendental equations by Newton-Raphson method; Numerical integration by trapezoidal rule, Simpson’s rule and Gaussian quadrature rule; Numerical solutions of first order differential equations by Euler’s method and 4th order Runge-Kutta method.

### Also Check:

**GATE Syllabus****GATE 2019 Exam Dates****GATE 2019 Eligibility Criteria****GATE Exam Pattern****GATE Exam Centers**

### Books for GATE Engineering Mathematics

GATE Engineering Mathematics Book Name | Buy Now |
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Engineering Mathematics for GATE & ESE (Prelims) 2019 – Theory & Previous Year Solved Questions |
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GATE ESE 2019 Engineering Mathematics, ECE,EEE,INST,MECH,CE,PI, 25 Years of Previous GATE Questions with Solutions, Subject Wise & Chapter Wise |
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Engineering Mathematics : ESE, GATE, PSUs 2019 | Click Here |

**GATE Chemical Engineering Syllabus (CH) – 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 and purge calculations; Gibb’s phase rule and degree of freedom analysis.

First and Second laws of thermodynamics. Applications 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 and activity coefficients; phase equilibria: predicting VLE of systems; chemical reaction equilibrium

**GATE Chemical Engineering Syllabus (CH) – Fluid Mechanics and Mechanical Operations **

Fluid statics, Newtonian and non-Newtonian fluids, shell-balances including differential form of Bernoulli equation and energy balance, Macroscopic friction factors, dimensional analysis and similitude, flow through pipeline 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 and pressure drop.

Particle size and shape, particle size distribution, size reduction and classification of solid particles; free and hindered settling; centrifuge and cyclones; thickening and classification, filtration, agitation and mixing; conveying of solids.

**GATE Chemical Engineering Syllabus (CH) – Heat Transfer **

Steady and unsteady heat conduction, convection and radiation, thermal boundary layer and heat transfer coefficients, boiling, condensation and evaporation; types of heat exchangers and evaporators and their process calculations. Design of double pipe, shell and tube heat exchangers, and single and multiple effect evaporators.

**GATE Chemical Engineering Syllabus (CH) – Mass Transfer **

Fick’s laws, molecular diffusion in fluids, mass transfer coefficients, film, penetration and 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-liquid extraction, drying, humidification, dehumidification and adsorption.

**GATE Chemical Engineering Syllabus (CH) – 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.

**GATE Chemical Engineering Syllabus (CH) – Instrumentation and Process Control **

Measurement of process variables; sensors, transducers and their dynamics, process modeling and linearization, 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 stability, frequency response, controller tuning, cascade and feed forward control.

**GATE Chemical Engineering Syllabus (CH) – Plant Design and Economics**

Principles of process economics and cost estimation including depreciation and total annualized cost, cost indices, rate of return, payback period, discounted cash flow, optimization in process design and sizing of chemical engineering equipments such as compressors, heat exchangers, multistage contactors.

**GATE Chemical Engineering Syllabus (CH) – Chemical Technology **

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