A first-order reaction has a half-life of 10 min. Find its rate constant k.
Reaction kinetics worksheet with answers
1.Easy
t½ = 10 min
k = min⁻¹
2.Easy
A first-order reaction A → products has a rate constant of 0.05 min⁻¹. The initial concentration of A is 1 mol/L. Find the concentration CA after 15 min.
k = 0.05 min⁻¹CA0 = 1 mol/Lt = 15 min
CA = mol/L
3.Medium
A second-order reaction (−rA = k·CA²) has k = 0.8 L/(mol·min) and an initial concentration of 0.5 mol/L. Find its first half-life t½.
k = 0.8 L/(mol·min)CA0 = 0.5 mol/L
t½ = min
4.Medium
A second-order reaction (−rA = k·CA²) has k = 0.2 L/(mol·min) and an initial concentration of 0.5 mol/L. Find its first half-life t½.
k = 0.2 L/(mol·min)CA0 = 0.5 mol/L
t½ = min
5.Hard
The rate constant of a reaction is 0.01 min⁻¹ at 20 °C and 0.0501 min⁻¹ at 45 °C. Find the activation energy Ea.
k1 = 0.01 min⁻¹T1 = 20 °Ck2 = 0.0501 min⁻¹T2 = 45 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
6.Hard
A reaction has a rate constant of 0.01 min⁻¹ at 20 °C and an activation energy of 90 kJ/mol. Find the rate constant k2 at 45 °C.
k1 = 0.01 min⁻¹T1 = 20 °CT2 = 45 °CEa = 90 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
Answer key
- 1. k = 0.06931 min⁻¹
- 2. CA = 0.4724 mol/L
- 3. t½ = 2.5 min
- 4. t½ = 10 min
- 5. Ea = 49.98 kJ/mol
- 6. k2 = 0.182 min⁻¹
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