MP 113

Methods of Integration, some special techniques, successive reduction method, improper integrals, mean value theorem special function: the error, gamma and beta functions of several variables, limits and continuity, partial derivatives, chain rule directional derivatives, Taylor expansions of functions of several variables, extreme, differentiation under integral sign. Sequences, series, convergence and convergence tests, uniform convergence. Fourier series expansions of general periodic functions, expansions of even and odd functions, convergence and remarks.

CH 112

Type of carbon-carbon bonds, electronic theory of valency, aromatic hydrocarbons, resonance and electron displacement, study of paraffins, olefins, acetylenes, alcohols, phenols, structural isomerism.

CH 114

Order of a reaction, reactions of the first order, reactions of the second order, reactions of the third order, Reactions occuring in stages, the rate determining step, parallel reactions, consecutive reactions, chain reactions, opposing reactions and equilibrium, determination of reaction order, method of trial, time to complete a definite fraction of the reaction, the differential method. Theory of reaction rates, Arrhenius equation, the collision theory of reaction rates. The activated-complex theory of reaction rates. Heterogeneous reactions, catalysis. Ionic equilibria, electrolytic conductance, Ostwald dilution law, ionic product of water, common ion effect, solubility product, hydrolysis, buffer solutions.

CH 115

Solutions, binary solutions, phase rule, ternary solutions system, surface chemistry, surface tension, zeta potential, activated surface substances, Vander Waal forces, coloidal state, osmotic pressure.

CH 116

Sulfonation, nitration, halogenation, oxidation, intermediate organic compounds, mechanism of polymerisation, analysis of organic compounds using ultra Violet rays, Chromatography, magnetic resonance.

JE 1J4

MP x14

Multiple Integral, Regions in plane and space, Double and triple integrals, Change of variables technique and the Jacobeans, Line integrals and green theorem, ordinary differential equations of the second order and higher. Elle’s homogeneous equations and simultaneous differential equation. Calculus of finite differences, Vector algebra, Scalar and cross product. Identifies, Application. Line and planes in space, Spherical and cylindrical coordinate systems, Quadratic surfaces. Line, Surface and volume integral, green’s and stock’s and divergence theorems.

CH 222

Processes system and its variables, mass, volume, flow rates, chemical composition, pressure, fundamentals of material balance (batch and continuous), single and multiple unit calculations; recycle, bypass and purge calculations; balance for reactive systems, balances on reactive systems, balances on single phase systems, balances on multiple systems, balances on liquid solution, balances on adsorption processes.

HS x41

CH 225

Fluid statics and its applications, fluid flow phenomena, basic equations of fluid flow, flow of incompressible fluids in conduits and thin layers, flow of compressible fluids, flow past immersed bodies, transportation and metering of fluids, agitation and mixing of liquids, two-phase flow (gas-liquid, gas-solid, liquid-solid and liquid-liquid systems).

CH 227

Power and refrigeration cycles, vapor cycles, carnot, rankine, reheated, regenerative, gas power cycle, gas turbine, reciprocating engine cycles. Refrigeration and heat pump cycles, vapor compression cycle, absorption refrigeration cycle, thermodynamic tables.

CH 321

Phase Equilibria (fundamentals), binary and multicomponent distillation, design of plate fractionating columns, types of distillation, Evaporation: heat transfer coefficients, multi-effect evaporation, vacuum producing equipment, nucleate boiling, forced convection boiling, Crystallization: fundamentals and theoretical background, Adsorption, isotherms, Ion exchange: theory, types of ion exchangers, Membrane separation processes: reverse osmosis, ultrafiltration, electrodialysis, liquid membranes, dialysis, hemodialysis, hemoperfusion, hemofiltration, artificial cells.

CH 331

Importance of modeling and simulation in chemical engineering, programming, Mathematical formulation of the problems, The continuity equation, the energy equation, the equation of motion, transport equations, equations of chemical and physical equilibria, chemical kinetics equations. Examples on the use of mathematical models in solving chemical engineering problems.

CH 3E2

CH 323

Principles of mass transfer, Diffusion: types of diffusion – Gas-absorption: two-film theory, capacity of packed towers, values of transfer coefficients, absorption with chemical reaction – Liquid-liquid extraction: general considerations of process, calculation of number of stages, continuous extraction in column apparatus-Leaching: mass transfer in leaching, calculation of number of stages – Drying: principles, humidity chart, rate of drying, theories of drying. Humidification and dehumidification: theory-Types and design of equipment for the aforementioned mass transfer operations.

CH 332

Electrical energy storage, classification of batteries, primary cells e.g. the Leclanche cell (construction, reactions and characteristics, Secondary cells (the lead acid accumulator fuel cells (The H2/O2 fuel cell) voltage efficiency factors affecting battery performance, fuel cells, Faraday’s law and current efficiency, concentration polarization, mechanism of mass transfer during electrolysis, the limiting current, methods of increasing the rate of diffusion controlled reactions, activation polarization and charge transfer controlled reactions, electrochemical reactor design and operations, calculation of the cell voltage, voltage efficiency, energy efficiency and power consumption, types of electrochemical reactors (the parallel plate reactor, the fixed bed reactor and the fluidized bed reactor). Derivation of the basic design equations for different electrochemical reactors (the plug flow reactor, the continuous stirred tank reactor, the batch reactor and the constant concentration reactor), mass transfer equations used in the design and operation of electrochemical reactor (mass transfer at a vertical plates under natural convection, mass transfer in a channel under forced convection, mass transfer in fixed bed under forced convection, mass transfer in fluidized bed under forced convection, mass transfer in a rotating cylinder electrode) selection of the most economic operating current density. Arrangement of cells in the plant. Calculation of the specifications of the accessory equipment e.g. pumps and heat exchangers. The energy balance equation for electrochemical reactors. Electrochemical industries: theory of electrodeposition of metals (simultaneous and consecutive deposition). Electro winning of metals, electrorefining of metals, electroplating, electrochemical machining and electroreforming, chloro alkali production (the diaphragm cell, the flowing mercury cathode cell and the membrane cell). Pollution control by electrochemical methods e.g.; elimination of heavy metals, cyanide oxidation, phenol toxicity elimination, sulphur removal from waste gases, electrochemical analysis methods.

CH 3E4

CH 421

Flow of fluids past particles: flow of fluids through granular beds, filtration, centrifugation. Operations involving relative motion between fluid and particles: sedimentation, fluidization, conveying, gas cleaning. Size-reduction of solids: power requirements. Classification of solid particles. Mixing and agitation: mixing of solids and pastes. Equipment used in all the aforementioned mechanical operations.

CH 4E5

CH 401

CH 422

Mathematical tools for control systems analysis, the Laplace transform, definition, properties of Laplace transform, solution of differential equations using the Laplace transform, Laplace transform solution procedure, Inversion of Laplace transform by partial fractions expansion. Linearization and deviation variables, deviation of function of one variable such as Arrhenius equation, Antoine equation,...etc. Linear open-loop systems, response of first-order system, physical examples of first order system, response of first-order systems in series, higher order system: transportation lag. Linear closed-loop systems. The control system, controller and final control elements, block diagram of a chemical reactor control system, closed-loop transfer functions, transient response of simple control systems, stability, root locus, sensors, transmitters and control valves. Sensors: pressure sensors, flow sensors, level sensors, temperature sensors and composition sensors. Transmitters, pneumatic transmitter, electronic transmitter, types of control valves, reciprocating stem, rotating stem.

CH 4E7

CH 402

The student continues his project