Answer:
The volume of the PFR is 4.28m3
Explanation: A Plug Flow Reactor (PFR) is a type of reactor that has a steady state flow. Therefore the flow rate is a constant, which is always measured in liters.
In a PFR, the rate of conversion is always dependent on the rate of flow.
For any PFR to have a conversion rate of 90% and above, that means the flow rate should be 100l/min or 100l/day depending on the rate constant.
Therefore since our conversation is 95% and our rate constant is 0.07per day, that means our flow rate is 100liters/day
The equation for a first order PFR is
dFa/dV = Ra..................(1)
To calculate volume, the equation becomes
(R/K) ln(Cao/Ca) = V...........(2)
R = flow rate = 100l/day = 0.1m3/day
K= rate constant = 0.07/day
Cao= initial conversion rate
Ca = conversion rate = 95%
V= volume
STEP 1: FIND Cao,
Cao + Ca = 100%
Cao = 100% - 95%= 5% = 0.05
Therefore
0.05 = Ca/ Cao
Ca = 0.05Cao..................(3)
STEP3 : Find the volume.
Using equation 2 and substituting equation 3 in equation 2.
(0.1m3/day ÷ 0.07/day)ln(Cao/0.05Cao) =
1.43m3 × ln20 = 4.98m3
Therefore the volume of the PFR is
4.98m3
