A first-order reaction has a half-life of 8 min. Find its rate constant k.
Reaction kinetics worksheet with answers
1.Easy
t½ = 8 min
k = min⁻¹
2.Easy
A first-order reaction has a rate constant of 0.15 min⁻¹. Find its half-life t½.
k = 0.15 min⁻¹
t½ = min
3.Medium
A first-order reaction in a batch reactor has k = 0.02 min⁻¹. How long does it take to reach 99% conversion? Find t.
k = 0.02 min⁻¹X = 99 %
t = min
4.Medium
A reaction with rate law −rA = k·CA² has k = 0.1 L/(mol·min) and starts at 2 mol/L. Find the concentration CA after 10 min.
k = 0.1 L/(mol·min)CA0 = 2 mol/Lt = 10 min
CA = mol/L
5.Hard
A reaction has a rate constant of 0.01 min⁻¹ at 35 °C and an activation energy of 120 kJ/mol. Find the rate constant k2 at 45 °C.
k1 = 0.01 min⁻¹T1 = 35 °CT2 = 45 °CEa = 120 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
6.Hard
A reaction has a rate constant of 0.02 min⁻¹ at 40 °C and an activation energy of 120 kJ/mol. Find the rate constant k2 at 80 °C.
k1 = 0.02 min⁻¹T1 = 40 °CT2 = 80 °CEa = 120 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
Answer key
- 1. k = 0.08664 min⁻¹
- 2. t½ = 4.621 min
- 3. t = 230.3 min
- 4. CA = 0.6667 mol/L
- 5. k2 = 0.04359 min⁻¹
- 6. k2 = 3.701 min⁻¹
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