A first-order reaction has a half-life of 15 min. What percentage f of the reactant is still left after 30 min?
Reaction kinetics worksheet with answers
1.Easy
t½ = 15 mint = 30 min
f = %
2.Easy
A first-order reaction A → products has a rate constant of 0.02 min⁻¹. The initial concentration of A is 0.5 mol/L. Find the concentration CA after 15 min.
k = 0.02 min⁻¹CA0 = 0.5 mol/Lt = 15 min
CA = mol/L
3.Medium
A reaction with rate law −rA = k·CA² has k = 0.25 L/(mol·min) and starts at 1.5 mol/L. Find the concentration CA after 10 min.
k = 0.25 L/(mol·min)CA0 = 1.5 mol/Lt = 10 min
CA = mol/L
4.Medium
A first-order reaction in a batch reactor has k = 0.1 min⁻¹. How long does it take to reach 75% conversion? Find t.
k = 0.1 min⁻¹X = 75 %
t = min
5.Hard
A reaction has a rate constant of 0.01 min⁻¹ at 40 °C and an activation energy of 50 kJ/mol. Find the rate constant k2 at 50 °C.
k1 = 0.01 min⁻¹T1 = 40 °CT2 = 50 °CEa = 50 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
6.Hard
A reaction has a rate constant of 0.1 min⁻¹ at 30 °C and an activation energy of 50 kJ/mol. Find the rate constant k2 at 50 °C.
k1 = 0.1 min⁻¹T1 = 30 °CT2 = 50 °CEa = 50 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
Answer key
- 1. f = 25 %
- 2. CA = 0.3704 mol/L
- 3. CA = 0.3158 mol/L
- 4. t = 13.86 min
- 5. k2 = 0.01812 min⁻¹
- 6. k2 = 0.3414 min⁻¹
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