The reaction A + B → C follows the rate law r = k·CA², with k = 0.5 L/(mol·s). Find the reaction rate r when CA = 0.4 mol/L and CB = 0.2 mol/L.
Reaction kinetics worksheet with answers
1.Easy
r = k·CA²k = 0.5 L/(mol·s)CA = 0.4 mol/LCB = 0.2 mol/L
r = mol/(L·s)
2.Easy
A first-order reaction A → products has a rate constant of 0.2 min⁻¹. The initial concentration of A is 0.5 mol/L. Find the concentration CA after 5 min.
k = 0.2 min⁻¹CA0 = 0.5 mol/Lt = 5 min
CA = mol/L
3.Medium
A first-order reaction in a batch reactor has k = 0.01 min⁻¹. How long does it take to reach 60% conversion? Find t.
k = 0.01 min⁻¹X = 60 %
t = min
4.Medium
In a first-order reaction the concentration of A falls from 0.8 mol/L to 0.56 mol/L in 40 min. Find the rate constant k.
CA0 = 0.8 mol/LCA = 0.56 mol/Lt = 40 min
k = min⁻¹
5.Hard
The rate constant of a reaction is 0.05 min⁻¹ at 35 °C and 1.13 min⁻¹ at 65 °C. Find the activation energy Ea.
k1 = 0.05 min⁻¹T1 = 35 °Ck2 = 1.13 min⁻¹T2 = 65 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
6.Hard
A first-order reaction has a rate constant of 0.01 s⁻¹ at 60 °C and an activation energy of 75 kJ/mol. Find the pre-exponential factor A in the Arrhenius equation.
k = 0.01 s⁻¹T = 60 °CEa = 75 kJ/molR = 8.314 J/(mol·K)
A = s⁻¹
Answer key
- 1. r = 0.08 mol/(L·s)
- 2. CA = 0.1839 mol/L
- 3. t = 91.63 min
- 4. k = 0.008917 min⁻¹
- 5. Ea = 90.04 kJ/mol
- 6. A = 5.75 × 10⁹ s⁻¹
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