A first-order reaction has a rate constant of 0.1 min⁻¹. Find its half-life t½.
Reaction kinetics worksheet with answers
1.Easy
k = 0.1 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 second-order reaction (−rA = k·CA²) has k = 0.8 L/(mol·min) and an initial concentration of 1 mol/L. Find its first half-life t½.
k = 0.8 L/(mol·min)CA0 = 1 mol/L
t½ = min
4.Medium
A reaction with rate law −rA = k·CA² has k = 0.2 L/(mol·min) and starts at 2 mol/L. Find the concentration CA after 2 min.
k = 0.2 L/(mol·min)CA0 = 2 mol/Lt = 2 min
CA = mol/L
5.Hard
A first-order reaction has k = 0.02 min⁻¹ at 30 °C and an activation energy of 60 kJ/mol. The batch reactor is now run at 55 °C for 15 min. Find the conversion X reached.
k1 = 0.02 min⁻¹T1 = 30 °CEa = 60 kJ/molT2 = 55 °Ct = 15 minR = 8.314 J/(mol·K)
X = %
6.Hard
A first-order reaction has k = 0.002 min⁻¹ at 25 °C and an activation energy of 90 kJ/mol. The batch reactor is now run at 35 °C for 15 min. Find the conversion X reached.
k1 = 0.002 min⁻¹T1 = 25 °CEa = 90 kJ/molT2 = 35 °Ct = 15 minR = 8.314 J/(mol·K)
X = %
Answer key
- 1. t½ = 6.931 min
- 2. t½ = 34.66 min
- 3. t½ = 1.25 min
- 4. CA = 1.111 mol/L
- 5. X = 84.12 %
- 6. X = 9.286 %
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