A first-order reaction has a half-life of 10 min. What percentage f of the reactant is still left after 30 min?
Reaction kinetics worksheet with answers
1.Easy
t½ = 10 mint = 30 min
f = %
2.Easy
A first-order reaction has a rate constant of 0.25 min⁻¹. Find its half-life t½.
k = 0.25 min⁻¹
t½ = min
3.Medium
A reaction with rate law −rA = k·CA² has k = 0.8 L/(mol·min) and starts at 0.5 mol/L. Find the concentration CA after 30 min.
k = 0.8 L/(mol·min)CA0 = 0.5 mol/Lt = 30 min
CA = mol/L
4.Medium
A first-order reaction in a batch reactor has k = 0.02 min⁻¹. How long does it take to reach 95% conversion? Find t.
k = 0.02 min⁻¹X = 95 %
t = min
5.Hard
A first-order reaction has k = 0.01 min⁻¹ at 25 °C and an activation energy of 80 kJ/mol. The batch reactor is now run at 45 °C for 10 min. Find the conversion X reached.
k1 = 0.01 min⁻¹T1 = 25 °CEa = 80 kJ/molT2 = 45 °Ct = 10 minR = 8.314 J/(mol·K)
X = %
6.Hard
The rate constant of a reaction is 0.005 min⁻¹ at 30 °C and 0.0729 min⁻¹ at 60 °C. Find the activation energy Ea.
k1 = 0.005 min⁻¹T1 = 30 °Ck2 = 0.0729 min⁻¹T2 = 60 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. f = 12.5 %
- 2. t½ = 2.773 min
- 3. CA = 0.03846 mol/L
- 4. t = 149.8 min
- 5. X = 53.26 %
- 6. Ea = 75 kJ/mol
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