# GATE Syllabus for Chemical Engineering-(CH)

## GATE Syllabus for Chemical Engineering-(CH) | GATE Syllabus for CH

**The GATE Syllabus for Chemical Engineering-(CH) consists of:**

1 |
Engineering Mathematics |

2 |
Chemical Engineering |

### GATE Syllabus for Chemical Engineering-(CH)

#### 1-ENGINEERING MATHEMATICS SYLLABUS:

**The Engineering Mathematics syllabus consists of:**

a |
Linear Algebra |

b |
Calculus |

c |
Differential Equations |

d |
Complex Variables |

e |
Probability and Statistics |

f |
Numerical Methods |

#### (a)-LINEAR ALGEBRA:

1 | Matrix algebra |

2 | Systems of linear equations |

3 | Eigen values and eigenvectors |

#### (b)-CALCULUS:

1 | Functions of single variable |

2 | Limit |

3 | Continuity and differentiability |

4 | Mean value theorems |

5 | Evaluation of definite and improper integrals |

6 | Partial derivatives |

7 | Total derivative |

8 | Maxima and minima |

9 | Gradient |

10 | Divergence and Curl |

11 | Vector dentities |

12 | Directional derivatives |

13 | Line |

14 | Surface and Volume integrals |

15 | Stokes |

16 | Gauss and Green’s theorems |

#### (c)-DIFFERENTIAL EQUATIONS:

1 | First order equations (linear and nonlinear) |

2 | Higher order linear differential equations with constant coefficients |

3 | Cauchy’s and Euler’s equations |

4 | Initial and boundary value problems |

5 | Laplace transforms |

6 | Solutions of one-dimensional heat and wave equations and Laplace equation |

#### (d)-COMPLEX VARIABLES:

1 | Analytic functions |

2 | Cauchy’s integral theorem |

3 | Taylor and Laurent series |

4 | Residue theorem |

#### (e)-PROBABILITY ABD STATISTICS:

1 | Definitions of probability and sampling theorems |

2 | Conditional probability |

3 | Mean, median |

4 | Mode and standard deviation |

5 | Random variables |

6 | Poisson |

7 | Normal and Binomial distributions |

#### (f)-NUMERICAL METHODS:

1 | Numerical solutions of linear and non-linear algebraic equation |

2 | Integration by trapezoidal and Simpson’s rule |

3 | Single and multi-step methods for differential equations |

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#### 2-CHEMICAL ENGINEERING SYLLABUS:

The Chemical engineering syllabus consists of:

a | Process Calculations and Thermodynamics |

b | Fluid Mechanics and Mechanical Operations |

c | Heat Transfer |

d | Instrumentation and Process Control |

e | Mass Transfer |

f | Chemical Reaction Engineering |

g | Plant Design and Economics |

h | Chemical Technology |

#### (a)-PROCESS CALCULATIONS AND THERMODYNAMICS:

1 | Laws of conservation of mass and energy |

2 | Use of tie components |

3 | Recycle, bypass and purge calculations |

4 | Degree of freedom analysis |

5 | First and Second laws of thermodynamics |

6 | First law application to close and open systems |

7 | Second law and Entropy Thermodynamic properties of pure substances |

8 | Equation of state and departure function |

9 | Properties of mixtures |

10 | Partial molar properties |

11 | Fugacity, excess properties |

12 | Activity coefficients |

13 | Predicting VLE of systems |

14 | Phase equilibria |

15 | Chemical reaction equilibria |

#### (b)-FLUID MECHANICS AND MECHANICAL OPERATIONS:

1 | Fluid statics |

2 | Newtonian and non-Newtonian fluids |

3 | Bernoulli equation |

4 | Macroscopic friction factors |

5 | Energy balance |

6 | Dimensional analysis |

7 | Shell balances |

8 | Flow through pipeline systems |

9 | Flow meters, pumps, and compressors |

10 | Packed and fluidized beds |

11 | Elementary boundary layer theory |

12 | Size reduction and size separation |

13 | Free and hindered settling |

14 | Centrifuge and cyclones |

15 | Thickening and classification |

16 | Filtration, mixing and agitation |

17 | Conveying of solids |

#### (c)-HEAT TRANSFER:

1 | Conduction, convection and radiation |

2 | Heat transfer coefficients |

3 | Steady and unsteady heat conduction |

4 | Boiling, condensation and evaporation |

5 | Types of heat exchangers and evaporators and their design |

#### (d)-MASS TRANSFER:

1 | Fick’s laws |

2 | Molecular diffusion in fluids |

3 | Mass transfer coefficients |

4 | Film, penetration and surface renewal theories |

5 | Momentum, heat and mass transferanalogies |

6 | Stagewise and continuous contacting and stage efficiencies |

7 | HTU & NTU concepts design and operation of equipment for distillation |

8 | Absorption, leaching, liquid-liquid extraction |

9 | Drying, humidification |

10 | Dehumidification and adsorption |

#### (e)-CHEMICAL REACTION ENGINEERING:

1 | Theories of reaction rates |

2 | Kinetics of homogeneous reactions |

3 | Interpretation of kinetic data |

4 | Single and multiple reactions in ideal reactors |

5 | Non-ideal reactors |

6 | Residence time distribution |

7 | Single parameter model |

8 | Non-isothermal reactors |

9 | Kinetics of heterogeneous catalytic reactions |

10 | Diffusion effects in catalysis |

#### (f)-INSTRUMENTATION AND PROCESS CONTROL:

1 | Measurement of process variables |

2 | Sensors, transducers and their dynamics |

3 | Transfer functions |

4 | Dynamic responses of simple systems |

5 | Process reaction curve |

6 | Controller modes (P, PI, and PID) |

7 | Control valves |

8 | Analysis of closed loop systems including stability |

9 | Requency response and controller tuning |

10 | Cascade, feed forward control |

#### (g)-PLANT DESIGN AND ECONOMICS:

1 | Process design and sizing of chemical engineering equipment such as compressors, heat exchangers, multistage contactors |

2 | Principles of process economics and cost estimation including total annualized cost |

3 | Cost indexes, rate of return, payback period |

4 | Discounted cash flow, optimization in design |

#### (h)-CHEMICAL TECHNOLOGY:

1 | Inorganic chemical industries |

2 | Sulfuric acid, NaOH, fertilizers (Ammonia, Urea, SSP and TSP) |

3 | Natural products industries (Pulp and Paper, Sugar, Oil, and Fats) |

4 | Petroleum refining and petrochemicals |

5 | Polymerization industries |

6 | Polyethylene, polypropylene |

7 | PVC and polyester synthetic fibers |

**GATE Syllabus for Chemical Engineering:**