A first-order reaction A → products has a rate constant of 0.08 min⁻¹. The initial concentration of A is 0.8 mol/L. Find the concentration CA after 20 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.08 min⁻¹CA0 = 0.8 mol/Lt = 20 min
CA = mol/L
2.Easy
A first-order reaction A → products has a rate constant of 0.15 min⁻¹. The initial concentration of A is 0.5 mol/L. Find the concentration CA after 5 min.
k = 0.15 min⁻¹CA0 = 0.5 mol/Lt = 5 min
CA = mol/L
3.Medium
A second-order reaction (−rA = k·CA²) in a batch reactor has k = 0.2 L/(mol·min) and starts at 2 mol/L. How long does it take to reach 75% conversion? Find t.
k = 0.2 L/(mol·min)CA0 = 2 mol/LX = 75 %
t = min
4.Medium
In a first-order reaction the concentration of A falls from 1.5 mol/L to 1.2 mol/L in 5 min. Find the rate constant k.
CA0 = 1.5 mol/LCA = 1.2 mol/Lt = 5 min
k = min⁻¹
5.Hard
The rate constant of a reaction is 0.02 min⁻¹ at 20 °C and 0.0894 min⁻¹ at 35 °C. Find the activation energy Ea.
k1 = 0.02 min⁻¹T1 = 20 °Ck2 = 0.0894 min⁻¹T2 = 35 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
6.Hard
A reaction has a rate constant of 0.005 min⁻¹ at 25 °C and an activation energy of 100 kJ/mol. Find the rate constant k2 at 50 °C.
k1 = 0.005 min⁻¹T1 = 25 °CT2 = 50 °CEa = 100 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
Answer key
- 1. CA = 0.1615 mol/L
- 2. CA = 0.2362 mol/L
- 3. t = 7.5 min
- 4. k = 0.04463 min⁻¹
- 5. Ea = 74.97 kJ/mol
- 6. k2 = 0.1133 min⁻¹
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