The reaction A + B → C follows the rate law r = k·CB, with k = 0.5 s⁻¹. Find the reaction rate r when CA = 0.2 mol/L and CB = 0.2 mol/L.
Reaction kinetics worksheet with answers
1.Easy
r = k·CBk = 0.5 s⁻¹CA = 0.2 mol/LCB = 0.2 mol/L
r = mol/(L·s)
2.Easy
A zero-order reaction A → products has a rate constant of 0.01 mol/(L·min). The initial concentration of A is 2 mol/L. Find the concentration CA after 40 min.
k = 0.01 mol/(L·min)CA0 = 2 mol/Lt = 40 min
CA = mol/L
3.Medium
A zero-order reaction has k = 0.04 mol/(L·min) and starts at 2 mol/L. How long does it take to reach 30% conversion? Find t.
k = 0.04 mol/(L·min)CA0 = 2 mol/LX = 30 %
t = min
4.Medium
A first-order reaction in a batch reactor has k = 0.01 min⁻¹. How long does it take to reach 99% conversion? Find t.
k = 0.01 min⁻¹X = 99 %
t = min
5.Hard
The rate constant of a reaction is 0.002 min⁻¹ at 20 °C and 0.0143 min⁻¹ at 40 °C. Find the activation energy Ea.
k1 = 0.002 min⁻¹T1 = 20 °Ck2 = 0.0143 min⁻¹T2 = 40 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
6.Hard
A reaction has an activation energy of 70 kJ/mol. At 30 °C it is too slow. To what temperature T2 (in °C) must it be heated to make it 5 times faster?
Ea = 70 kJ/molT1 = 30 °Ck2/k1 = 5R = 8.314 J/(mol·K)
T2 = °C
Answer key
- 1. r = 0.1 mol/(L·s)
- 2. CA = 1.6 mol/L
- 3. t = 15 min
- 4. t = 460.5 min
- 5. Ea = 75.07 kJ/mol
- 6. T2 = 48.65 °C
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