A first-order reaction has a rate constant of 0.25 min⁻¹. Find its half-life t½.
Reaction kinetics worksheet with answers
1.Easy
k = 0.25 min⁻¹
t½ = min
2.Easy
A first-order reaction has a half-life of 6 min. Find its rate constant k.
t½ = 6 min
k = min⁻¹
3.Medium
A first-order reaction in a batch reactor has k = 0.08 min⁻¹. How long does it take to reach 80% conversion? Find t.
k = 0.08 min⁻¹X = 80 %
t = min
4.Medium
A reaction with rate law −rA = k·CA² has k = 1 L/(mol·min) and starts at 2 mol/L. Find the concentration CA after 2 min.
k = 1 L/(mol·min)CA0 = 2 mol/Lt = 2 min
CA = mol/L
5.Hard
A reaction has a rate constant of 0.1 min⁻¹ at 25 °C and an activation energy of 90 kJ/mol. Find the rate constant k2 at 65 °C.
k1 = 0.1 min⁻¹T1 = 25 °CT2 = 65 °CEa = 90 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
6.Hard
A reaction has a rate constant of 0.05 min⁻¹ at 35 °C and an activation energy of 120 kJ/mol. Find the rate constant k2 at 65 °C.
k1 = 0.05 min⁻¹T1 = 35 °CT2 = 65 °CEa = 120 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
Answer key
- 1. t½ = 2.773 min
- 2. k = 0.1155 min⁻¹
- 3. t = 20.12 min
- 4. CA = 0.4 mol/L
- 5. k2 = 7.332 min⁻¹
- 6. k2 = 3.189 min⁻¹
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