Cheatography

# Reactions Exam 1 Cheat Sheet (DRAFT) by Serpalme

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)