A first-order reaction A → products has a rate constant of 0.25 min⁻¹. The initial concentration of A is 1.5 mol/L. Find the concentration CA after 5 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.25 min⁻¹CA0 = 1.5 mol/Lt = 5 min
CA = mol/L
2.Easy
A first-order reaction has a rate constant of 0.2 min⁻¹. Find its half-life t½.
k = 0.2 min⁻¹
t½ = min
3.Medium
A second-order reaction (−rA = k·CA²) in a batch reactor has k = 0.25 L/(mol·min) and starts at 0.5 mol/L. How long does it take to reach 75% conversion? Find t.
k = 0.25 L/(mol·min)CA0 = 0.5 mol/LX = 75 %
t = min
4.Medium
A second-order reaction (−rA = k·CA²) in a batch reactor has k = 0.8 L/(mol·min) and starts at 1.5 mol/L. How long does it take to reach 90% conversion? Find t.
k = 0.8 L/(mol·min)CA0 = 1.5 mol/LX = 90 %
t = min
5.Hard
A reaction has a rate constant of 0.005 min⁻¹ at 40 °C and an activation energy of 50 kJ/mol. Find the rate constant k2 at 60 °C.
k1 = 0.005 min⁻¹T1 = 40 °CT2 = 60 °CEa = 50 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
6.Hard
The rate constant of a reaction is 0.005 min⁻¹ at 35 °C and 0.0698 min⁻¹ at 60 °C. Find the activation energy Ea.
k1 = 0.005 min⁻¹T1 = 35 °Ck2 = 0.0698 min⁻¹T2 = 60 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. CA = 0.4298 mol/L
- 2. t½ = 3.466 min
- 3. t = 24 min
- 4. t = 7.5 min
- 5. k2 = 0.01584 min⁻¹
- 6. Ea = 90 kJ/mol
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