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 = 100 L, k = 0.08 min⁻¹Q = 20 L/minCA0​ = 1 mol/LCA​ = ?

A liquid-phase first-order reaction A → B (k = 0.08 min⁻¹) runs in a 100 L continuous stirred-tank reactor (CSTR). The feed enters at 20 L/min with CA0 = 1 mol/L. The density is constant and the reactor is at steady state. Find the outlet concentration CA.

V = 100 LQ = 20 L/mink = 0.08 min⁻¹CA0 = 1 mol/L
CA = mol/L
2.Easy
τ = ?k = 0.25 min⁻¹X = 85%

A first-order liquid-phase reaction with k = 0.25 min⁻¹ runs in a CSTR at steady state. What space time τ is needed to reach 85% conversion?

k = 0.25 min⁻¹X = 85%
τ = min
3.Medium
Q = 20 L/minX = 70%V = ?, k = 0.15 min⁻¹

A first-order liquid-phase reaction A → B with k = 0.15 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 70% conversion of A.

Q = 20 L/mink = 0.15 min⁻¹X = 70%
V = L
4.Medium
Q = 40 L/minX = 75%V = ?, k = 0.15 min⁻¹

A first-order liquid-phase reaction A → B with k = 0.15 min⁻¹ is carried out in a plug-flow reactor (PFR) fed at 40 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 = 40 L/mink = 0.15 min⁻¹X = 75%
V = L
5.Hard
V = 200 LV = 200 LQ = 50 L/minX = ?

A first-order liquid-phase reaction (k = 0.3 min⁻¹) runs in two equal CSTRs in series, each of 200 L. The feed rate is 50 L/min, the density is constant and the reactors are at steady state. Find the overall conversion X in percent.

V = 200 L (×2)Q = 50 L/mink = 0.3 min⁻¹
X = %
6.Hard
V = 1500 LV = 1500 LQ = 100 L/minX = ?

A first-order liquid-phase reaction (k = 0.3 min⁻¹) runs in two equal CSTRs in series, each of 1500 L. The feed rate is 100 L/min, the density is constant and the reactors are at steady state. Find the overall conversion X in percent.

V = 1500 L (×2)Q = 100 L/mink = 0.3 min⁻¹
X = %

Answer key

  1. 1. CA = 0.7143 mol/L
  2. 2. τ = 22.67 min
  3. 3. V = 160.5 L
  4. 4. V = 369.7 L
  5. 5. X = 79.34 %
  6. 6. X = 96.69 %

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