Reactor sizing (CSTR & PFR) worksheet with answers

Free printable Reactor sizing (CSTR & PFR) worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
V = ?, k = 0.2 min⁻¹Q = 25 L/minX = 50%

A first-order liquid-phase reaction A → B with k = 0.2 min⁻¹ is carried out in a continuous stirred-tank reactor (CSTR) fed at 25 L/min. The density is constant and the reactor is at steady state. Find the reactor volume V in litres for 50% conversion of A.

Q = 25 L/mink = 0.2 min⁻¹X = 50%
V = L
2.Easy
τ = ?k = 0.08 min⁻¹X = 85%

A first-order liquid-phase reaction with k = 0.08 min⁻¹ runs in a CSTR at steady state. What space time τ is needed to reach 85% conversion?

k = 0.08 min⁻¹X = 85%
τ = min
3.Medium
Q = 20 L/minX = 80%V = ?, k = 0.2 min⁻¹

A first-order liquid-phase reaction A → B with k = 0.2 min⁻¹ is carried out in a plug-flow reactor (PFR) fed at 20 L/min. The density is constant and the reactor is at steady state. Find the reactor volume V in litres for 80% conversion of A.

Q = 20 L/mink = 0.2 min⁻¹X = 80%
V = L
4.Medium
Q = 5 L/minX = 80%V = ?, k = 0.2 min⁻¹

A first-order liquid-phase reaction A → B with k = 0.2 min⁻¹ is carried out in a plug-flow reactor (PFR) fed at 5 L/min. The density is constant and the reactor is at steady state. Find the reactor volume V in litres for 80% conversion of A.

Q = 5 L/mink = 0.2 min⁻¹X = 80%
V = L
5.Hard
Q = 100 L/minX = ?V = 150 L

A first-order liquid-phase reaction (k = 0.3 min⁻¹) runs in a 150 L plug-flow reactor (PFR) fed at 100 L/min. The density is constant and the reactor is at steady state. Find the conversion X in percent.

V = 150 LQ = 100 L/mink = 0.3 min⁻¹
X = %
6.Hard
Q = 50 L/minX = ?V = 400 L

A first-order liquid-phase reaction (k = 0.25 min⁻¹) runs in a 400 L plug-flow reactor (PFR) fed at 50 L/min. The density is constant and the reactor is at steady state. Find the conversion X in percent.

V = 400 LQ = 50 L/mink = 0.25 min⁻¹
X = %

Answer key

  1. 1. V = 125 L
  2. 2. τ = 70.83 min
  3. 3. V = 160.9 L
  4. 4. V = 40.24 L
  5. 5. X = 36.24 %
  6. 6. X = 86.47 %

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