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 40 min. Find its rate constant k.
t½ = 40 min
k = min⁻¹
3.Medium
A reaction with rate law −rA = k·CA² has k = 0.8 L/(mol·min) and starts at 2 mol/L. Find the concentration CA after 15 min.
k = 0.8 L/(mol·min)CA0 = 2 mol/Lt = 15 min
CA = mol/L
4.Medium
A second-order reaction (−rA = k·CA²) has k = 0.5 L/(mol·min) and an initial concentration of 0.5 mol/L. Find its first half-life t½.
k = 0.5 L/(mol·min)CA0 = 0.5 mol/L
t½ = min
5.Hard
A first-order reaction has k = 0.005 min⁻¹ at 30 °C and an activation energy of 90 kJ/mol. The batch reactor is now run at 60 °C for 20 min. Find the conversion X reached.
k1 = 0.005 min⁻¹T1 = 30 °CEa = 90 kJ/molT2 = 60 °Ct = 20 minR = 8.314 J/(mol·K)
X = %
6.Hard
A reaction has a rate constant of 0.05 min⁻¹ at 30 °C and an activation energy of 40 kJ/mol. Find the rate constant k2 at 45 °C.
k1 = 0.05 min⁻¹T1 = 30 °CT2 = 45 °CEa = 40 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
Answer key
- 1. t½ = 2.773 min
- 2. k = 0.01733 min⁻¹
- 3. CA = 0.08 mol/L
- 4. t½ = 4 min
- 5. X = 91.72 %
- 6. k2 = 0.1057 min⁻¹
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