A first-order reaction A → products has a rate constant of 0.02 min⁻¹. The initial concentration of A is 0.5 mol/L. Find the concentration CA after 90 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.02 min⁻¹CA0 = 0.5 mol/Lt = 90 min
CA = mol/L
2.Easy
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 10 min.
k = 0.2 min⁻¹CA0 = 0.5 mol/Lt = 10 min
CA = mol/L
3.Medium
A reaction with rate law −rA = k·CA² has k = 0.05 L/(mol·min) and starts at 0.5 mol/L. Find the concentration CA after 5 min.
k = 0.05 L/(mol·min)CA0 = 0.5 mol/Lt = 5 min
CA = mol/L
4.Medium
A first-order reaction in a batch reactor has k = 0.08 min⁻¹. How long does it take to reach 95% conversion? Find t.
k = 0.08 min⁻¹X = 95 %
t = min
5.Hard
A reaction has a rate constant of 0.1 min⁻¹ at 35 °C and an activation energy of 100 kJ/mol. Find the rate constant k2 at 60 °C.
k1 = 0.1 min⁻¹T1 = 35 °CT2 = 60 °CEa = 100 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
6.Hard
The rate constant of a reaction is 0.005 min⁻¹ at 25 °C and 0.0143 min⁻¹ at 35 °C. Find the activation energy Ea.
k1 = 0.005 min⁻¹T1 = 25 °Ck2 = 0.0143 min⁻¹T2 = 35 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. CA = 0.08265 mol/L
- 2. CA = 0.06767 mol/L
- 3. CA = 0.4444 mol/L
- 4. t = 37.45 min
- 5. k2 = 1.871 min⁻¹
- 6. Ea = 80.27 kJ/mol
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