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 = 0.05 min⁻¹Q = 5 L/minX = 85%

A first-order liquid-phase reaction A → B with k = 0.05 min⁻¹ is carried out in a continuous stirred-tank reactor (CSTR) fed at 5 L/min. The density is constant and the reactor is at steady state. Find the reactor volume V in litres for 85% conversion of A.

Q = 5 L/mink = 0.05 min⁻¹X = 85%
V = L
2.Easy
V = ?, k = 0.1 min⁻¹Q = 10 L/minX = 50%

A first-order liquid-phase reaction A → B with k = 0.1 min⁻¹ is carried out in a continuous stirred-tank reactor (CSTR) fed at 10 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 = 10 L/mink = 0.1 min⁻¹X = 50%
V = L
3.Medium
Q = 20 L/minCA0​ = 2 mol/LCA​ = ?V = 100 L, k = 0.12 min⁻¹

A liquid-phase first-order reaction A → B (k = 0.12 min⁻¹) runs in a 100 L plug-flow reactor (PFR). The feed enters at 20 L/min with CA0 = 2 mol/L. The density is constant and the reactor is at steady state. Find the outlet concentration CA.

V = 100 LQ = 20 L/mink = 0.12 min⁻¹CA0 = 2 mol/L
CA = mol/L
4.Medium
Q = 5 L/minX = 75%V = ?, k = 0.5 min⁻¹

A first-order liquid-phase reaction A → B with k = 0.5 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 75% conversion of A.

Q = 5 L/mink = 0.5 min⁻¹X = 75%
V = L
5.Hard
Q = 40 L/minX = ?V = 250 L

A first-order liquid-phase reaction (k = 0.15 min⁻¹) runs in a 250 L plug-flow reactor (PFR) fed at 40 L/min. The density is constant and the reactor is at steady state. Find the conversion X in percent.

V = 250 LQ = 40 L/mink = 0.15 min⁻¹
X = %
6.Hard
Q = 5 L/minX = ?V = 50 L

A first-order liquid-phase reaction (k = 0.4 min⁻¹) runs in a 50 L plug-flow reactor (PFR) fed at 5 L/min. The density is constant and the reactor is at steady state. Find the conversion X in percent.

V = 50 LQ = 5 L/mink = 0.4 min⁻¹
X = %

Answer key

  1. 1. V = 566.7 L
  2. 2. V = 100 L
  3. 3. CA = 1.098 mol/L
  4. 4. V = 13.86 L
  5. 5. X = 60.84 %
  6. 6. X = 98.17 %

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