Q Q F F RT F Q P RT F Q P: Gas Phase Continious Reactors
Q Q F F RT F Q P RT F Q P: Gas Phase Continious Reactors
Q Q F F RT F Q P RT F Q P: Gas Phase Continious Reactors
A 10 B
What will happen if this reaction occurs in a continuous reactor?
Pin
Should the pressure increase, like in a piston reactor?
Pout?
NO, NO NO! THIS IS NOT POSSIBLE IN A OPEN SYSTEM. Remember that pressure is the driving force for flow, so we need to have a pressure drop (due to frictional losses) over the reactor. In CKN we will assume that the losses is negligible, so the pressure will remain roughly the same. So how do we compensate for the change in moles? We return to the ideal gas law, our faithful friend for gas phase problems in CKN. The ideal gas law for isothermal flow systems will result in:
Ftot Q = = 1+ x Ftoto Qo
Similar to piston reactors, we need to realise that the concentration in a flow system is influenced by changes in volumetric flowrate.
CA =
F (1 x) FA FA (1 x) = C Ao = = Ao Q Q Ftot Qo (1 + x) (1 + x) o Ftoto
This has a major effect on the reaction rate and should be incorporated into all mole balances. For a non-catalysed nth order reaction occurring in a PFR we will have:
C Ao dx =k dV Qo
n 1
(1 x) n (1 + x) n
Note that the form is not the same as that of the piston batch reactor:
dx (1 x) n n 1 = kC Ao dt (1 + x) n 1
Derive similar expressions for a CSTR and catalysed flow systems!
1 ( rA ( x))
x
You should be able to prove to yourself that for a CSTR:
1 V x = rA ( x) FAo
And for a PFR:
x 1 V = r ( x) dx FAo 0 A
Very important to note that the rate is a function of , and therefore the Levenspiel plot is a function of the feed conditions. If the feed conditions are altered the whole shape of the Levenspiel plot needs to be altered.
F dFA = k A Q dV
FB Q
n
FA dN B = 2k Q dt
FB Q
FA + FB + FC + FI Q = Qo F +F +F +F Bo Co I Ao