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Cheatography

Reactions Exam 1 Cheat Sheet (DRAFT) by

Reactions Exam 1 with Dr. Howe 2024

This is a draft cheat sheet. It is a work in progress and is not finished yet.

UNITS

Variables
Units
temper­ature
kelvin
activation energy
joules
volume
1 dm3 = 1 liter
concen­tration
moles/­liter

Design Equations (liquid phase)

PBR
BR
dFj/dw=rj'
dNa/dt=raV
w=Fjo-­­>Fj ∫ dFj/rj'
Na(t)=­­Na­o­(­1-­­X(t))
w=(Fjo­­-F­j­)­/-rj'
Nao(dX­­/d­t­)­=-raV
 
t=Nao*­­(0­-­>X) ∫ dX/-raV
 

Random Shit I need to Know

PV=nRT => n/V=Ct­o=P/RT
-ra=k(Ca2Cb-(Cc­/Kc))
Cjo = yjo*Cto
kc=Cc/(Ca2Cb)
Ca=(Ca­o(1­-X)­/(1+εX)
-ra=0 @ equili­brium
Cb=(Ca­o(θ­b-(­b/a­)X)­)/(­1+εX)
Cc=(Ca­o(θ­c+(­c/a­)X)­)/(­1+εX)
Ci=Cio­/(1+εX)
 

Design Equations (gas phase)

CSTR
PFR
V=(Fao­*X)/-ra
dFa/dV=ra
Fao=Cao*vo
Fa=Fao­(1-X)
V=(CaovoX)/-ra
dFa=d(­Fao­(1-­X))­=-F­ao*­dX=­>Fa­o(d­X/d­V)=-ra-
Cao=Na­o/v­=Pao/RTo=(yaoPo)/R*To
dV=Fao­(dX­/-r­a)=­>0-­>V ∫ dV=V
V=(yaoPovoX)/(RTo*-ra)
0->X ∫ Fao(dX­/-r­a)=­>V=Fao 0->X ∫ dX/-ra
 
PBR
 
Fao*(d­X/d­w)=-ra'
 
W=Fao 0->X ∫ dX/-ra'
 

Conv­ers­ion

X=Xa=moles of A reacte­d/moles of A fed in=(Na­o-N­a)/Nao
Na=Nao­(1-X)
Fa=Fao­(1-X)
Ca=Cao­(1-X)

Design Equations (liquid phase)

CSTR
PFR
V=(Fjo­-Fj­)/-rj
rj=dFj/dV
V=(voC­jo-­vCj­)/-rj
V=Fjo-­>Fj ∫ dFj/rj
Visom=vo(Ca­o-C­a)/kCa
ra=dFa/dV , Fa=VCa
V=(Fao­X)/-ra
ra=(d(­vo*­Ca))/dV
V=(CaovoX)/(k*Ca)
Vfirst order=Caovo 0->X ∫ 1/(kCao*(1-X)) dX
V=(vo*­X)/­(k(­1-X))

Acti­vation Energy

k=Ae-Ea/RT
ln k = ln A (-Ea/RT)
Ea = (Rln(k­2/k­1))­/(1­/T1­-1/T2)