GATE CH study materials
GATE CH study resources

GATE CH key terms

GATE CH · Get comfortable with the vocabulary.

Unit operation

A single physical processing step, such as distillation, filtration, or drying, that changes a stream's composition, temperature, or form without altering its chemical identity.

Related: Unit process, Mass transfer, Heat transfer
Unit process

A processing step in which chemical bonds are broken or formed, so the species present change; examples include nitration, polymerization, and catalytic cracking.

Related: Unit operation, Conversion, Selectivity
Mass transfer

Movement of one or more species through a mixture driven by a concentration gradient, described by Fick's law and quantified by a mass-transfer coefficient.

Related: Mass-transfer coefficient, Film theory, NTU
Heat transfer coefficient

A proportionality constant relating heat flux to a temperature difference between a surface and a bulk fluid, with units of W m^-2 K^-1.

Related: Overall heat transfer coefficient, Nusselt number, Log mean temperature difference
Overall heat transfer coefficient

A single coefficient combining convective, conductive, and fouling resistances in series so that total heat duty equals U times area times driving force.

Related: Heat transfer coefficient, Fouling factor, Log mean temperature difference
Log mean temperature difference

The effective average temperature driving force in a heat exchanger, computed as the difference of terminal differences divided by the natural log of their ratio.

Related: Overall heat transfer coefficient, Effectiveness-NTU method, Heat transfer coefficient
Effectiveness-NTU method

A heat exchanger design approach comparing actual duty to the thermodynamic maximum, using effectiveness, number of transfer units, and capacity ratio.

Related: Log mean temperature difference, NTU, Heat transfer coefficient
Fouling factor

An added thermal resistance accounting for deposits on heat-transfer surfaces, which reduces the achievable overall coefficient over time and must be included in design.

Related: Overall heat transfer coefficient, Heat transfer coefficient
Nusselt number

A dimensionless ratio of convective to conductive heat transfer across a fluid layer; for fully developed laminar pipe flow it approaches a constant value near 3.66.

Related: Heat transfer coefficient, Prandtl number, Reynolds number
Reynolds number

A dimensionless ratio of inertial to viscous forces that sets the flow regime, used to decide laminar or turbulent behaviour and to correlate friction factor and heat transfer.

Related: Friction factor, Nusselt number, Ergun equation
Friction factor

A dimensionless quantity relating pressure drop in a conduit to velocity head; the Darcy form gives pressure drop as f times length over diameter times dynamic pressure.

Related: Reynolds number, Ergun equation, Packed bed
Ergun equation

A correlation for pressure drop through a packed bed that adds a viscous (laminar) term proportional to superficial velocity and an inertial (turbulent) term proportional to its square.

Related: Packed bed, Friction factor, Reynolds number
Relative volatility

The ratio of the vapour pressures or K-values of two components, indicating how easily they can be separated by distillation; values near one require many stages.

Related: Minimum reflux ratio, Fenske equation, McCabe-Thiele method
McCabe-Thiele method

A graphical stage-by-stage design technique for binary distillation that steps between the equilibrium curve and operating lines to count theoretical stages.

Related: Operating line, Minimum reflux ratio, Relative volatility
Minimum reflux ratio

The reflux rate at which the required number of equilibrium stages becomes infinite for a specified separation; practical designs operate at a multiple of it.

Related: McCabe-Thiele method, Fenske equation, Operating line
Fenske equation

A relation giving the minimum number of theoretical stages at total reflux from the relative volatility and the specified light and heavy key mole fractions.

Related: Minimum reflux ratio, Relative volatility, Operating line
Operating line

A material-balance line on a stagewise separation diagram linking passing stream compositions between stages; its slope reflects the reflux or solvent-to-feed ratio.

Related: McCabe-Thiele method, Minimum reflux ratio, NTU
NTU

Number of transfer units, a dimensionless measure of how hard a separation is; it equals the integral of composition change divided by the local driving force.

Related: HTU, Mass transfer, Operating line
HTU

Height of a transfer unit, the packed height required for one transfer unit; column packing height is the product of HTU and NTU.

Related: NTU, Mass transfer, Mass-transfer coefficient
Film theory

A mass-transfer model assuming a stagnant film of fixed thickness next to an interface, giving a coefficient equal to diffusivity divided by film thickness.

Related: Mass-transfer coefficient, Mass transfer, Penetration theory
Penetration theory

A mass-transfer model in which eddies expose fresh fluid to the interface for short contact times, yielding a coefficient proportional to the square root of diffusivity.

Related: Film theory, Mass-transfer coefficient
Mass-transfer coefficient

A rate constant expressing molar flux per unit interfacial area per unit concentration driving force, commonly correlated through dimensionless groups such as Sherwood number.

Related: Mass transfer, Film theory, HTU
Conversion

The fraction of a limiting reactant fed that has reacted, computed as moles reacted divided by moles fed to the reactor.

Related: Selectivity, Yield, Extent of reaction
Selectivity

The fraction of reacted limiting reactant that ends up in the desired product, distinguishing good conversion from useful product formation.

Related: Conversion, Yield, Unit process
Yield

Moles of desired product formed per mole of limiting reactant fed, equal to the product of conversion and selectivity when defined on that basis.

Related: Conversion, Selectivity
Extent of reaction

A single variable measuring how far a reaction has proceeded, such that each species' mole change equals its stoichiometric coefficient times the extent change.

Related: Conversion, Equilibrium constant
Equilibrium constant

The ratio of product to reactant activities at equilibrium; its temperature dependence is governed by the standard enthalpy of reaction through the van't Hoff relation.

Related: Extent of reaction, Le Chatelier's principle, Arrhenius equation
Le Chatelier's principle

A system at equilibrium shifts to oppose a disturbance in temperature, pressure, or concentration, guiding choices of operating conditions in reactor and separation design.

Related: Equilibrium constant, Extent of reaction
Arrhenius equation

An empirical relation giving the rate constant as a pre-exponential factor times the exponential of minus activation energy over gas constant times temperature.

Related: Activation energy, Rate law, Equilibrium constant
Activation energy

The minimum energy barrier reactants must overcome for a reaction to proceed; its magnitude sets how strongly rate responds to temperature change.

Related: Arrhenius equation, Rate law
Rate law

An expression relating reaction rate to species concentrations and temperature, with exponents that must be determined experimentally rather than from stoichiometry.

Related: Arrhenius equation, Activation energy, Damkohler number
Damkohler number

A dimensionless group comparing reaction rate to convective or diffusive transport rate; large values indicate transport limitation and possible mass-transfer control.

Related: Rate law, Thiele modulus, Mass transfer
Thiele modulus

A dimensionless ratio of reaction rate to diffusion rate inside a porous catalyst pellet; large values cause steep internal concentration gradients.

Related: Effectiveness factor, Damkohler number, Packed bed
Effectiveness factor

The ratio of actual reaction rate in a porous catalyst pellet to the rate if the entire interior were exposed to surface conditions; below one when diffusion limits.

Related: Thiele modulus, Packed bed
Packed bed

A vessel filled with solid particles through which fluid flows, used for catalysis, absorption, or filtration; pressure drop follows the Ergun equation.

Related: Ergun equation, Thiele modulus, Effectiveness factor
Fluidization

Suspension of solid particles by an upward fluid flow once the drag balances particle weight, giving a bed that behaves like a boiling liquid.

Related: Minimum fluidization velocity, Terminal velocity, Packed bed
Minimum fluidization velocity

The superficial fluid velocity at which bed pressure drop equals the particle weight per unit area, marking the onset of fluidization.

Related: Fluidization, Terminal velocity, Ergun equation
Terminal velocity

The steady settling speed of a particle when drag balances buoyant weight, used in gravity settling and elutriation calculations.

Related: Fluidization, Minimum fluidization velocity
Bingham plastic

A non-Newtonian material that stays rigid until stress exceeds a yield value, after which it flows with a constant apparent viscosity.

Related: Reynolds number, Friction factor
Bypass

In process control, a manual or automatic path that routes a signal or stream around an instrument or unit, often used during startup or failure.

Related: PID controller, Feedback control
PID controller

A feedback controller whose output sums proportional, integral, and derivative actions on the error, tuned to balance speed, offset, and stability.

Related: Feedback control, Bypass, Dead time
Feedback control

A scheme that measures the controlled variable and adjusts a manipulated variable based on the deviation from setpoint, correcting disturbances after they appear.

Related: PID controller, Dead time
Dead time

The delay between a change in manipulated variable and the first observed response in the controlled variable, which degrades achievable control loop stability.

Related: PID controller, Feedback control
Material balance

An accounting of mass entering, leaving, accumulating in, and being generated within a system, forming the basis for process design calculations.

Related: Energy balance, Conversion, Recycle
Energy balance

An accounting of energy entering, leaving, accumulating in, and being generated within a system, usually written as enthalpy changes plus heat and work terms.

Related: Material balance, Heat transfer coefficient
Recycle

Returning part of a product or unreacted stream to an earlier point in the process to raise overall conversion or recover material.

Related: Material balance, Purge, Conversion
Purge

A small stream deliberately removed from a recycle loop to prevent accumulation of inert or undesired components, traded off against loss of valuable material.

Related: Recycle, Material balance