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 |
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t=Nao*(0->X) ∫ dX/-raV |
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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) |
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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 |
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PBR |
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Fao*(dX/dw)=-ra' |
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W=Fao 0->X ∫ dX/-ra' |
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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) |
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