A first-order reaction has a rate constant of 0.05 min⁻¹. Find its half-life t½.
Reaction kinetics worksheet with answers
1.Easy
k = 0.05 min⁻¹
t½ = min
2.Easy
A first-order reaction has a rate constant of 0.02 min⁻¹. Find its half-life t½.
k = 0.02 min⁻¹
t½ = min
3.Medium
A reaction with rate law −rA = k·CA² has k = 0.5 L/(mol·min) and starts at 1.5 mol/L. Find the concentration CA after 2 min.
k = 0.5 L/(mol·min)CA0 = 1.5 mol/Lt = 2 min
CA = mol/L
4.Medium
A second-order reaction (−rA = k·CA²) in a batch reactor has k = 0.05 L/(mol·min) and starts at 1.5 mol/L. How long does it take to reach 60% conversion? Find t.
k = 0.05 L/(mol·min)CA0 = 1.5 mol/LX = 60 %
t = min
5.Hard
A first-order reaction has a rate constant of 0.05 s⁻¹ at 100 °C and an activation energy of 80 kJ/mol. Find the pre-exponential factor A in the Arrhenius equation.
k = 0.05 s⁻¹T = 100 °CEa = 80 kJ/molR = 8.314 J/(mol·K)
A = s⁻¹
6.Hard
The rate constant of a reaction is 0.1 min⁻¹ at 35 °C and 0.323 min⁻¹ at 60 °C. Find the activation energy Ea.
k1 = 0.1 min⁻¹T1 = 35 °Ck2 = 0.323 min⁻¹T2 = 60 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. t½ = 13.86 min
- 2. t½ = 34.66 min
- 3. CA = 0.6 mol/L
- 4. t = 20 min
- 5. A = 7.907 × 10⁹ s⁻¹
- 6. Ea = 40.03 kJ/mol
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