INGENIA1009 EQ

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CHE-00 · laboratory

Chemical engineering

CSTR, PFR, Arrhenius, McCabe–Thiele snapshot and NTU heat exchangers.

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36 governing sheets

CHE-01
CSTR design equation
τ = (C0 − C)/(−r) = X C0 /(−r) for constant density.
Reactors
CHE-02
PFR first-order space time
τ = (1/k) ln(1/(1−X)) for an isothermal PFR.
Reactors
CHE-03
Arrhenius rate constant
k = A exp(−Ea/RT) for an elementary step.
Kinetics
CHE-04
Fenske minimum stages
Nmin = ln[(xD/(1−xD))((1−xB)/xB)] / ln α.
Distillation
CHE-05
Counterflow NTU effectiveness
ε = (1−e^{−NTU(1−Cr)})/(1−Cr e^{−NTU(1−Cr)}).
Heat exchangers
CHE-06
Antoine vapour pressure
log10 P = A − B/(T+C) with T in °C, P in mmHg.
VLE
CHE-07
Ergun packed-bed pressure drop
Blake–Kozeny plus Burke–Plummer: viscous and inertial losses.
Packed beds
CHE-08
Damköhler number I
Da = k τ, reaction rate over convective rate.
Dimensionless
CHE-21
PFR first-order space time
τ = (1/k) ln(1/(1−X)) for an isothermal PFR.
Reactors
CHE-22
Arrhenius rate constant
k = A exp(−Ea/RT) for an elementary step.
Kinetics
CHE-23
McCabe–Thiele operating line
y = [R/(R+1)] x + xD/(R+1). Rectifying-section material balance.
Distillation
CHE-24
Counterflow NTU effectiveness
ε = (1−e^{−NTU(1−Cr)})/(1−Cr e^{−NTU(1−Cr)}).
Heat exchangers
CHE-25
Log-mean temperature difference
ΔTlm = (ΔT1−ΔT2)/ln(ΔT1/ΔT2). Driving force of a two-stream exchanger.
Heat exchangers
CHE-26
Ergun packed-bed pressure drop
Blake–Kozeny plus Burke–Plummer: viscous and inertial losses.
Packed beds
CHE-27
Thiele modulus and effectiveness
φ = R √(k/De), η = tanh(φ)/φ for a first-order slab/sphere snapshot.
Dimensionless
CHE-28
Damköhler number I
Da = k τ. Reaction rate over convective rate.
Dimensionless
CHE-29
Packed-bed Reynolds number
Rep = ρ u dp / [μ (1−ε)]. Particle Reynolds of a packed bed.
Packed beds
CHE-30
Freundlich adsorption
qe = Kf Ce^{1/n}. Heterogeneous-site isotherm used in adsorbers.
Adsorption
CHE-31
Langmuir adsorption
qe = qmax b Ce /(1 + b Ce). Monolayer on uniform sites.
Adsorption
CHE-32
Raoult flash (binary)
yi P = xi Pi^sat. Ideal liquid, ideal vapour, isothermal flash snapshot.
VLE
CHE-33
Open-system energy balance
Q − W = m Cp ΔT for a single-stream heater (KE, PE dropped).
Balances
CHE-34
Yield of product P
YP/A = FP / (FA0 − FA). Moles of P per mole of A consumed.
Balances
CHE-35
Conversion of A
X = (FA0 − FA)/FA0 = 1 − C/C0 at constant density.
Balances
CHE-36
Residence / space time
τ = V / v0. Space time based on inlet volumetric flow.
Reactors
CHE-37
Exchanger duty Q=UA ΔTlm
Q = U A ΔTlm. Design equation of a two-stream exchanger.
Heat exchangers
CHE-38
Underwood minimum reflux
Rmin = [xD/xF − α(1−xD)/(1−xF)]/(α−1) for a binary saturated-liquid feed.
Distillation
CHE-39
Arrhenius k
Activated-rate constant.
Governing
CHE-40
Dittus–Boelter Nu
Turbulent pipe Nusselt.
Governing
CHE-41
Ergun packed bed
Packed-bed pressure drop.
Governing
CHE-42
kLa estimate
Aeration mass-transfer coefficient.
Governing
CHE-43
Kc from extents
1:1:1:1 pedagogical Kc.
Governing
CHE-44
Weber number
Inertia over surface tension.
Governing
CHE-45
Sherwood number
Mass-transfer Nusselt analogue.
Governing
CHE-46
Prater temperature
Internal catalyst ΔT.
Governing
CHE-47
Effectiveness η
Isothermal first-order pellet.
Governing
CHE-09
CSTR conversion (first order)
X = τ k / (1 + τ k) for irreversible first-order liquid.
Reactors