A first-order reaction A → products has a rate constant of 0.08 min⁻¹. The initial concentration of A is 0.5 mol/L. Find the concentration CA after 20 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.08 min⁻¹CA0 = 0.5 mol/Lt = 20 min
CA = mol/L
2.Easy
A first-order reaction has a rate constant of 0.01 min⁻¹. Find its half-life t½.
k = 0.01 min⁻¹
t½ = min
3.Medium
A zero-order reaction has k = 0.02 mol/(L·min) and starts at 1.2 mol/L. How long does it take to reach 80% conversion? Find t.
k = 0.02 mol/(L·min)CA0 = 1.2 mol/LX = 80 %
t = min
4.Medium
A reaction with rate law −rA = k·CA² has k = 0.2 L/(mol·min) and starts at 1 mol/L. Find the concentration CA after 20 min.
k = 0.2 L/(mol·min)CA0 = 1 mol/Lt = 20 min
CA = mol/L
5.Hard
The rate constant of a reaction is 0.005 min⁻¹ at 20 °C and 1.85 min⁻¹ at 60 °C. Find the activation energy Ea.
k1 = 0.005 min⁻¹T1 = 20 °Ck2 = 1.85 min⁻¹T2 = 60 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
6.Hard
The rate constant of a reaction is 0.01 min⁻¹ at 40 °C and 0.0192 min⁻¹ at 50 °C. Find the activation energy Ea.
k1 = 0.01 min⁻¹T1 = 40 °Ck2 = 0.0192 min⁻¹T2 = 50 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. CA = 0.1009 mol/L
- 2. t½ = 69.31 min
- 3. t = 48 min
- 4. CA = 0.2 mol/L
- 5. Ea = 120 kJ/mol
- 6. Ea = 54.88 kJ/mol
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