A first-order reaction has a half-life of 20 min. Find its rate constant k.
Reaction kinetics worksheet with answers
1.Easy
t½ = 20 min
k = min⁻¹
2.Easy
A first-order reaction has a rate constant of 0.1 min⁻¹. Find its half-life t½.
k = 0.1 min⁻¹
t½ = min
3.Medium
In a first-order reaction the concentration of A falls from 0.5 mol/L to 0.35 mol/L in 30 min. Find the rate constant k.
CA0 = 0.5 mol/LCA = 0.35 mol/Lt = 30 min
k = min⁻¹
4.Medium
A first-order reaction in a batch reactor has k = 0.1 min⁻¹. How long does it take to reach 99% conversion? Find t.
k = 0.1 min⁻¹X = 99 %
t = min
5.Hard
A reaction has a rate constant of 0.05 min⁻¹ at 20 °C and an activation energy of 90 kJ/mol. Find the rate constant k2 at 35 °C.
k1 = 0.05 min⁻¹T1 = 20 °CT2 = 35 °CEa = 90 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
6.Hard
The rate constant of a reaction is 0.005 min⁻¹ at 20 °C and 0.116 min⁻¹ at 40 °C. Find the activation energy Ea.
k1 = 0.005 min⁻¹T1 = 20 °Ck2 = 0.116 min⁻¹T2 = 40 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. k = 0.03466 min⁻¹
- 2. t½ = 6.931 min
- 3. k = 0.01189 min⁻¹
- 4. t = 46.05 min
- 5. k2 = 0.3017 min⁻¹
- 6. Ea = 120 kJ/mol
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