A first-order reaction A → products has a rate constant of 0.01 min⁻¹. The initial concentration of A is 0.5 mol/L. Find the concentration CA after 60 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.01 min⁻¹CA0 = 0.5 mol/Lt = 60 min
CA = mol/L
2.Easy
A first-order reaction A → products has a rate constant of 0.02 min⁻¹. The initial concentration of A is 0.8 mol/L. Find the concentration CA after 40 min.
k = 0.02 min⁻¹CA0 = 0.8 mol/Lt = 40 min
CA = mol/L
3.Medium
A second-order reaction (−rA = k·CA²) has k = 0.05 L/(mol·min) and an initial concentration of 0.5 mol/L. Find its first half-life t½.
k = 0.05 L/(mol·min)CA0 = 0.5 mol/L
t½ = min
4.Medium
A first-order reaction in a batch reactor has k = 0.08 min⁻¹. How long does it take to reach 60% conversion? Find t.
k = 0.08 min⁻¹X = 60 %
t = min
5.Hard
The rate constant of a reaction is 0.05 min⁻¹ at 35 °C and 0.104 min⁻¹ at 45 °C. Find the activation energy Ea.
k1 = 0.05 min⁻¹T1 = 35 °Ck2 = 0.104 min⁻¹T2 = 45 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
6.Hard
A reaction has a rate constant of 0.005 min⁻¹ at 20 °C and an activation energy of 40 kJ/mol. Find the rate constant k2 at 35 °C.
k1 = 0.005 min⁻¹T1 = 20 °CT2 = 35 °CEa = 40 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
Answer key
- 1. CA = 0.2744 mol/L
- 2. CA = 0.3595 mol/L
- 3. t½ = 40 min
- 4. t = 11.45 min
- 5. Ea = 59.69 kJ/mol
- 6. k2 = 0.01112 min⁻¹
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