Reaction kinetics worksheet with answers

Free printable Reaction kinetics 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
t (min)C/C₀t½​ = 30 min0.5

A first-order reaction has a half-life of 30 min. Find its rate constant k.

t½ = 30 min
k = min⁻¹
2.Easy
t (min)C/C₀t½​ = 2 min0.5

A first-order reaction has a half-life of 2 min. Find its rate constant k.

t½ = 2 min
k = min⁻¹
3.Medium
t (min)X (%)t = ?75%

A first-order reaction in a batch reactor has k = 0.15 min⁻¹. How long does it take to reach 75% conversion? Find t.

k = 0.15 min⁻¹X = 75 %
t = min
4.Medium
t (min)X (%)t = ?50%

A zero-order reaction has k = 0.04 mol/(L·min) and starts at 1.5 mol/L. How long does it take to reach 50% conversion? Find t.

k = 0.04 mol/(L·min)CA0 = 1.5 mol/LX = 50 %
t = min
5.Hard
t (min)X (%)20 minX = ?

A first-order reaction has k = 0.005 min⁻¹ at 30 °C and an activation energy of 50 kJ/mol. The batch reactor is now run at 55 °C for 20 min. Find the conversion X reached.

k1 = 0.005 min⁻¹T1 = 30 °CEa = 50 kJ/molT2 = 55 °Ct = 20 minR = 8.314 J/(mol·K)
X = %
6.Hard
t (min)X (%)10 minX = ?

A first-order reaction has k = 0.002 min⁻¹ at 20 °C and an activation energy of 50 kJ/mol. The batch reactor is now run at 50 °C for 10 min. Find the conversion X reached.

k1 = 0.002 min⁻¹T1 = 20 °CEa = 50 kJ/molT2 = 50 °Ct = 10 minR = 8.314 J/(mol·K)
X = %

Answer key

  1. 1. k = 0.0231 min⁻¹
  2. 2. k = 0.3466 min⁻¹
  3. 3. t = 9.242 min
  4. 4. t = 18.75 min
  5. 5. X = 36.45 %
  6. 6. X = 12.57 %

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