The reaction A + B → C follows the rate law r = k·CB, with k = 0.002 s⁻¹. Find the reaction rate r when CA = 1 mol/L and CB = 0.1 mol/L.
Reaction kinetics worksheet with answers
1.Easy
r = k·CBk = 0.002 s⁻¹CA = 1 mol/LCB = 0.1 mol/L
r = mol/(L·s)
2.Easy
The reaction A + B → C follows the rate law r = k·CA, with k = 0.002 s⁻¹. Find the reaction rate r when CA = 1.5 mol/L and CB = 0.3 mol/L.
r = k·CAk = 0.002 s⁻¹CA = 1.5 mol/LCB = 0.3 mol/L
r = mol/(L·s)
3.Medium
A second-order reaction (−rA = k·CA²) in a batch reactor has k = 0.2 L/(mol·min) and starts at 0.5 mol/L. How long does it take to reach 75% conversion? Find t.
k = 0.2 L/(mol·min)CA0 = 0.5 mol/LX = 75 %
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 90% conversion? Find t.
k = 0.08 min⁻¹X = 90 %
t = min
5.Hard
The rate constant of a reaction is 0.002 min⁻¹ at 25 °C and 0.0276 min⁻¹ at 65 °C. Find the activation energy Ea.
k1 = 0.002 min⁻¹T1 = 25 °Ck2 = 0.0276 min⁻¹T2 = 65 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
6.Hard
The rate constant of a reaction is 0.005 min⁻¹ at 25 °C and 0.0876 min⁻¹ at 65 °C. Find the activation energy Ea.
k1 = 0.005 min⁻¹T1 = 25 °Ck2 = 0.0876 min⁻¹T2 = 65 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. r = 0.0002 mol/(L·s)
- 2. r = 0.003 mol/(L·s)
- 3. t = 30 min
- 4. t = 28.78 min
- 5. Ea = 55 kJ/mol
- 6. Ea = 60 kJ/mol
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