Cheat sheet

FE Chemical Cheat Sheet

Math, Statistics & Engineering Sciences

13-19%of exam

Calculus & Diff EqProbability & StatisticsNumerical MethodsEng Sciences & Sig Figs

Chemistry & Materials Science

10-15%of exam

Chemistry BasicsMaterials ScienceCorrosionElectrochemistry

Fluid, Heat & Mass Transfer

22-33%of exam

Thermo, Balances & Reaction Engineering

23-35%of exam

Process Design, Economics & Control

16-25%of exam

Safety, Health & Ethics

7-12%of exam

Process SafetyHazard AnalysisEnvironmental RulesEngineering Ethics

Quick Facts

Exam
FE Chemical
Body
NCEES
Questions
110
Time
5h 20m
Fee
$225
Format
CBT, Pearson VUE
Level
Entry-level EIT
Handbook
v10.6 (2026)

Calculus & Diff Eq

Power rule (derivative)
n*x^(n-1)
Power rule (integral)
x^(n+1)/(n+1) + C
Laplace e^(-at)
1/(s+a)
Newton-Raphson step
x1 = x0 - f/f'
1st-order ODE
y = y0 e^(kx)

Probability & Statistics

Binomial P(x)
C(n,x) p^x (1-p)^(n-x)
Confidence interval
mean +/- z*(s/sqrt n)
Normal distribution
bell curve, mean + sigma
Control chart limits
mean +/- 3 sigma/sqrt(n)
Linear regression
least-squares best-fit line

Engineering Sciences & Sig Figs

Ohm's law
V = IR
Kirchhoff's current law
currents in = currents out
Work-energy-power
W = F*d, P = W/t
Significant figures
match measurement precision

Molarity vs Molality

Molarity

  • Moles per liter solution
  • Temperature dependent

Molality

  • Moles per kg solvent
  • Temperature independent

Volume basis vs mass basis

Chemistry Basics

Molarity
moles solute per liter
Molality
moles solute per kg solvent
pH
-log[H+]
Redox reaction
electron transfer, oxidation-reduction
Stoichiometry
mole ratios, balanced equation

Materials Science

Corrosion rate
mils per year (mpy)
Stress-strain curve
elastic then plastic region
Thermoplastic vs thermoset
reformable vs permanently cured
Ferrous vs nonferrous
iron-based vs non-iron metal
Ceramics/composites
brittle, high strength materials

Heat Transfer Modes

Conduction touches, convection flows, radiation glows

Conduction: solid contactConvection: fluid motionRadiation: electromagnetic waves

LMTD vs NTU-Effectiveness

LMTD

  • Both outlets known
  • Sizing problem

NTU-Effectiveness

  • Outlet unknown
  • Rating problem

Sizing vs rating problem

Heat Exchanger Method Picker

  1. Both outlet temps knownLMTD sizing
  2. Outlet temp unknownNTU-effectiveness rating
  3. High fouling riskAdd fouling resistance
  4. Flow arrangement choiceCounterflow over parallel

Fluid Mechanics

Reynolds number
inertial over viscous forces
Bernoulli equation
pressure + velocity + elevation head
Darcy-Weisbach friction
hf = f(L/D)(v^2/2g)
NPSH
avoids pump cavitation
Continuity equation
rho A V = constant

Conduction vs Convection

Conduction

  • Solid contact
  • Fourier's law, uses k

Convection

  • Fluid motion
  • Newton's law, uses h

Solid vs fluid transfer

Fluid Flow Regime Picker

  1. Re below 2100Laminar, f = 64/Re
  2. Re above 4000Turbulent, Moody chart
  3. High-speed compressible gasCheck Mach number
  4. Non-Newtonian fluidPower-law model

Heat Transfer

Fourier's law
conduction flux, -k dT/dx
Newton's cooling law
convection, q = hA*deltaT
LMTD
sizing, known outlet temps
NTU-effectiveness
rating, unknown outlet temps
Overall U
sum of resistances + fouling

Absorption vs Distillation

Absorption

  • Gas-liquid contact
  • No reboiler needed

Distillation

  • Vapor-liquid equilibrium
  • Has reboiler/condenser

Solubility vs volatility driven

Mass Transfer & Separation

Fick's law
diffusion flux, -D dC/dx
McCabe-Thiele
binary distillation stage design
HETP/HTU
packed-column transfer height
Relative volatility
measures separation ease
Reflux ratio
L/D, liquid over distillate

Reactor Volume Ranking

PFR needs less volume than CSTR for same conversion

PFR: plug flow efficientCSTR: back-mixed less efficientSeries CSTR approaches PFR

CSTR vs PFR

CSTR

  • Uniform composition
  • Well-mixed
  • More volume needed

PFR

  • Composition varies axially
  • Plug flow
  • Less volume needed

Mixed vs axial flow

Balance Approach Picker

  1. Continuous open systemEnergy balance with enthalpy
  2. Reaction occurringExtent of reaction method
  3. Unknowns exceed equationsCheck degree of freedom
  4. Transient startup/shutdownUnsteady-state balance
  5. Multiple recycle streamsTie-component balance

Material & Energy Balances

Degree of freedom
unknowns minus equations
Recycle/bypass
stream loops around unit
Combustion balance
stoichiometric air, excess air
Steady-state balance
in = out, no accumulation
Purge stream
prevents inert buildup

Balance Order Steps

Draw diagram, define system, write balance, solve unknowns

Draw flow diagram firstDefine system boundaryCount DOF before solving

Raoult's Law vs Henry's Law

Raoult's Law

  • Ideal solution
  • High concentration solvent

Henry's Law

  • Dilute solute
  • Low concentration component

Concentrated vs dilute component

VLE Method Picker

  1. Ideal, high concentrationRaoult's law
  2. Dilute soluteHenry's law
  3. Nonideal, azeotrope presentActivity coefficients
  4. Binary distillation stagesMcCabe-Thiele diagram

Thermodynamics & VLE

First law
delta U = Q - W
Second law
entropy generation >= 0
Raoult's law
ideal VLE, p = x*Psat
Henry's law
dilute solute, p = H*x
Antoine equation
vapor pressure vs temperature

Reactor Selection

  1. Small batch, liquid-phaseBatch reactor
  2. Continuous, well-mixedCSTR
  3. Continuous, no back-mixingPFR
  4. Series reactions, max yieldCSTR-then-PFR train
  5. Max conversion per volumePFR over CSTR

Chemical Reaction Engineering

Arrhenius equation
k = A e^(-Ea/RT)
Rate law order
rate = k[A]^n[B]^m
CSTR design eq
V = F(A0)X / (-rA)
PFR design eq
integral of dX / (-rA)
Conversion
moles reacted over fed

Time Value Factors

P grows to F, F discounts back to P

P: present worthF: future worthA: annual worth

Feedback vs Feedforward Control

Feedback

  • Measures output
  • Reacts after disturbance

Feedforward

  • Measures disturbance
  • Acts before output changes

React vs anticipate disturbance

Control Mode Picker

  1. Offset unacceptableAdd integral action
  2. Need faster responseAdd derivative action
  3. Disturbance is measurableFeedforward control
  4. Standard single loopPID feedback

Process Design & Economics

PFD vs P&ID
major equipment vs instrumentation
NPV
discounted cash flow minus cost
IRR
rate where NPV equals zero
Straight-line depreciation
(cost - salvage) / life
Break-even point
fixed cost / margin

Process Control

Transfer function
output over input, Laplace
PID
proportional, integral, derivative
Time constant
63% of final response
Feedback control
reacts to measured output
Feedforward control
anticipates measured disturbance

Solids Handling

Particle size distribution
sieve analysis, cumulative %
Angle of repose
max slope, flowability
Screening
mesh separates particle sizes
Conveyor selection
belt, screw, or pneumatic

Flammability Window

Below LFL too lean, above UFL too rich

LFL: lower flammable limitUFL: upper flammable limitBetween: flammable range

Process Safety

LFL
lower flammable limit
UFL
upper flammable limit
HAZOP
systematic deviation hazard study
LOPA
layer of protection analysis
SDS
chemical hazard data sheet

Ethics & Environment

NCEES Model Rules
professional conduct code
RCRA
regulates hazardous waste
CWA
regulates water discharges
Patent vs trademark
invention vs brand protection

Common Traps

Molarity ≠ Molality

Molarity: per liter solution Molality: per kg solvent

LFL ≠ UFL

LFL: too lean to burn UFL: too rich to burn

CSTR ≠ PFR Volume

CSTR needs more volume PFR needs less volume

Absorption ≠ Distillation

Absorption: solubility driven separation Distillation: volatility driven separation

Feedback ≠ Feedforward

Feedback reacts after disturbance Feedforward acts before disturbance

Accuracy ≠ Precision

Accuracy: close to true value Precision: repeatable measurements only

LMTD ≠ NTU Use Case

LMTD: sizing, known outlets NTU: rating, unknown outlets

Last Minute

  1. 1.110 questions, 5h20m testing time
  2. 2.MEB is heaviest domain, 10-15 Q
  3. 3.Bring approved calculator, spare batteries
  4. 4.Raoult's Law needs ideal solution
  5. 5.PFR outperforms CSTR per volume
  6. 6.LMTD needs known outlet temps
  7. 7.McCabe-Thiele for binary distillation stages
  8. 8.Arrhenius links rate constant, temperature
  9. 9.Check degrees of freedom before balances
  10. 10.HAZOP finds process hazards systematically
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