The reaction A + B → C follows the rate law r = k·CA², with k = 0.02 L/(mol·s). Find the reaction rate r when CA = 0.5 mol/L and CB = 2 mol/L.
Reaction kinetics worksheet with answers
1.Easy
r = k·CA²k = 0.02 L/(mol·s)CA = 0.5 mol/LCB = 2 mol/L
r = mol/(L·s)
2.Easy
A first-order reaction A → products has a rate constant of 0.25 min⁻¹. The initial concentration of A is 1.2 mol/L. Find the concentration CA after 5 min.
k = 0.25 min⁻¹CA0 = 1.2 mol/Lt = 5 min
CA = mol/L
3.Medium
In a first-order reaction the concentration of A falls from 1.2 mol/L to 0.72 mol/L in 5 min. Find the rate constant k.
CA0 = 1.2 mol/LCA = 0.72 mol/Lt = 5 min
k = min⁻¹
4.Medium
A first-order reaction in a batch reactor has k = 0.05 min⁻¹. How long does it take to reach 95% conversion? Find t.
k = 0.05 min⁻¹X = 95 %
t = min
5.Hard
The rate constant of a reaction is 0.005 min⁻¹ at 30 °C and 0.0223 min⁻¹ at 45 °C. Find the activation energy Ea.
k1 = 0.005 min⁻¹T1 = 30 °Ck2 = 0.0223 min⁻¹T2 = 45 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
6.Hard
The rate constant of a reaction is 0.01 min⁻¹ at 30 °C and 0.0597 min⁻¹ at 60 °C. Find the activation energy Ea.
k1 = 0.01 min⁻¹T1 = 30 °Ck2 = 0.0597 min⁻¹T2 = 60 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. r = 0.005 mol/(L·s)
- 2. CA = 0.3438 mol/L
- 3. k = 0.1022 min⁻¹
- 4. t = 59.91 min
- 5. Ea = 79.93 kJ/mol
- 6. Ea = 50.01 kJ/mol
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