A first-order reaction A → products has a rate constant of 0.2 min⁻¹. The initial concentration of A is 0.5 mol/L. Find the concentration CA after 5 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.2 min⁻¹CA0 = 0.5 mol/Lt = 5 min
CA = mol/L
2.Easy
A first-order reaction has a half-life of 8 min. Find its rate constant k.
t½ = 8 min
k = min⁻¹
3.Medium
A zero-order reaction has k = 0.05 mol/(L·min) and starts at 0.8 mol/L. How long does it take to reach 75% conversion? Find t.
k = 0.05 mol/(L·min)CA0 = 0.8 mol/LX = 75 %
t = min
4.Medium
A reaction with rate law −rA = k·CA² has k = 0.2 L/(mol·min) and starts at 1.5 mol/L. Find the concentration CA after 15 min.
k = 0.2 L/(mol·min)CA0 = 1.5 mol/Lt = 15 min
CA = mol/L
5.Hard
The rate constant of a reaction is 0.1 min⁻¹ at 20 °C and 0.387 min⁻¹ at 30 °C. Find the activation energy Ea.
k1 = 0.1 min⁻¹T1 = 20 °Ck2 = 0.387 min⁻¹T2 = 30 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
6.Hard
A first-order reaction has k = 0.01 min⁻¹ at 25 °C and an activation energy of 70 kJ/mol. The batch reactor is now run at 50 °C for 30 min. Find the conversion X reached.
k1 = 0.01 min⁻¹T1 = 25 °CEa = 70 kJ/molT2 = 50 °Ct = 30 minR = 8.314 J/(mol·K)
X = %
Answer key
- 1. CA = 0.1839 mol/L
- 2. k = 0.08664 min⁻¹
- 3. t = 12 min
- 4. CA = 0.2727 mol/L
- 5. Ea = 99.99 kJ/mol
- 6. X = 93.05 %
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