A first-order reaction has a half-life of 5 min. Find its rate constant k.
Reaction kinetics worksheet with answers
1.Easy
t½ = 5 min
k = min⁻¹
2.Easy
A first-order reaction A → products has a rate constant of 0.02 min⁻¹. The initial concentration of A is 1.2 mol/L. Find the concentration CA after 20 min.
k = 0.02 min⁻¹CA0 = 1.2 mol/Lt = 20 min
CA = mol/L
3.Medium
A first-order reaction in a batch reactor has k = 0.15 min⁻¹. How long does it take to reach 80% conversion? Find t.
k = 0.15 min⁻¹X = 80 %
t = min
4.Medium
A second-order reaction (−rA = k·CA²) has k = 0.25 L/(mol·min) and an initial concentration of 1 mol/L. Find its first half-life t½.
k = 0.25 L/(mol·min)CA0 = 1 mol/L
t½ = min
5.Hard
A reaction has a rate constant of 0.002 min⁻¹ at 25 °C and an activation energy of 100 kJ/mol. Find the rate constant k2 at 40 °C.
k1 = 0.002 min⁻¹T1 = 25 °CT2 = 40 °CEa = 100 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
6.Hard
A reaction has a rate constant of 0.02 min⁻¹ at 25 °C and an activation energy of 120 kJ/mol. Find the rate constant k2 at 40 °C.
k1 = 0.02 min⁻¹T1 = 25 °CT2 = 40 °CEa = 120 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
Answer key
- 1. k = 0.1386 min⁻¹
- 2. CA = 0.8044 mol/L
- 3. t = 10.73 min
- 4. t½ = 4 min
- 5. k2 = 0.01381 min⁻¹
- 6. k2 = 0.2033 min⁻¹
Full step-by-step solutions: practise this topic on examproblems.com.