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 A → products has a rate constant of 0.01 min⁻¹. The initial concentration of A is 1.2 mol/L. Find the concentration CA after 20 min.
k = 0.01 min⁻¹CA0 = 1.2 mol/Lt = 20 min
CA = mol/L
3.Medium
A first-order reaction in a batch reactor has k = 0.02 min⁻¹. How long does it take to reach 50% conversion? Find t.
k = 0.02 min⁻¹X = 50 %
t = min
4.Medium
A reaction with rate law −rA = k·CA² has k = 0.1 L/(mol·min) and starts at 2 mol/L. Find the concentration CA after 5 min.
k = 0.1 L/(mol·min)CA0 = 2 mol/Lt = 5 min
CA = mol/L
5.Hard
A reaction has a rate constant of 0.005 min⁻¹ at 40 °C and an activation energy of 50 kJ/mol. Find the rate constant k2 at 65 °C.
k1 = 0.005 min⁻¹T1 = 40 °CT2 = 65 °CEa = 50 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
6.Hard
The rate constant of a reaction is 0.1 min⁻¹ at 30 °C and 0.166 min⁻¹ at 40 °C. Find the activation energy Ea.
k1 = 0.1 min⁻¹T1 = 30 °Ck2 = 0.166 min⁻¹T2 = 40 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. t½ = 6.931 min
- 2. CA = 0.9825 mol/L
- 3. t = 34.66 min
- 4. CA = 1 mol/L
- 5. k2 = 0.02068 min⁻¹
- 6. Ea = 40 kJ/mol
Full step-by-step solutions: practise this topic on examproblems.com.