A first-order reaction has a rate constant of 0.08 min⁻¹. Find its half-life t½.
Reaction kinetics worksheet with answers
1.Easy
k = 0.08 min⁻¹
t½ = min
2.Easy
The reaction A + B → C follows the rate law r = k·CA·CB², with k = 0.02 L²/(mol²·s). Find the reaction rate r when CA = 2 mol/L and CB = 0.6 mol/L.
r = k·CA·CB²k = 0.02 L²/(mol²·s)CA = 2 mol/LCB = 0.6 mol/L
r = mol/(L·s)
3.Medium
A first-order reaction in a batch reactor has k = 0.1 min⁻¹. How long does it take to reach 60% conversion? Find t.
k = 0.1 min⁻¹X = 60 %
t = min
4.Medium
A first-order reaction in a batch reactor has k = 0.08 min⁻¹. How long does it take to reach 60% conversion? Find t.
k = 0.08 min⁻¹X = 60 %
t = min
5.Hard
A reaction has a rate constant of 0.02 min⁻¹ at 20 °C and an activation energy of 90 kJ/mol. Find the rate constant k2 at 30 °C.
k1 = 0.02 min⁻¹T1 = 20 °CT2 = 30 °CEa = 90 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
6.Hard
The rate constant of a reaction is 0.1 min⁻¹ at 20 °C and 0.172 min⁻¹ at 30 °C. Find the activation energy Ea.
k1 = 0.1 min⁻¹T1 = 20 °Ck2 = 0.172 min⁻¹T2 = 30 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. t½ = 8.664 min
- 2. r = 0.0144 mol/(L·s)
- 3. t = 9.163 min
- 4. t = 11.45 min
- 5. k2 = 0.06762 min⁻¹
- 6. Ea = 40.07 kJ/mol
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