A zero-order reaction A → products has a rate constant of 0.01 mol/(L·min). The initial concentration of A is 1.2 mol/L. Find the concentration CA after 50 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.01 mol/(L·min)CA0 = 1.2 mol/Lt = 50 min
CA = mol/L
2.Easy
A first-order reaction A → products has a rate constant of 0.01 min⁻¹. The initial concentration of A is 0.5 mol/L. Find the concentration CA after 30 min.
k = 0.01 min⁻¹CA0 = 0.5 mol/Lt = 30 min
CA = mol/L
3.Medium
In a first-order reaction the concentration of A falls from 2 mol/L to 1 mol/L in 30 min. Find the rate constant k.
CA0 = 2 mol/LCA = 1 mol/Lt = 30 min
k = min⁻¹
4.Medium
A first-order reaction in a batch reactor has k = 0.1 min⁻¹. How long does it take to reach 95% conversion? Find t.
k = 0.1 min⁻¹X = 95 %
t = min
5.Hard
The rate constant of a reaction is 0.01 min⁻¹ at 30 °C and 0.0211 min⁻¹ at 45 °C. Find the activation energy Ea.
k1 = 0.01 min⁻¹T1 = 30 °Ck2 = 0.0211 min⁻¹T2 = 45 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
6.Hard
A first-order reaction has k = 0.01 min⁻¹ at 25 °C and an activation energy of 80 kJ/mol. The batch reactor is now run at 45 °C for 10 min. Find the conversion X reached.
k1 = 0.01 min⁻¹T1 = 25 °CEa = 80 kJ/molT2 = 45 °Ct = 10 minR = 8.314 J/(mol·K)
X = %
Answer key
- 1. CA = 0.7 mol/L
- 2. CA = 0.3704 mol/L
- 3. k = 0.0231 min⁻¹
- 4. t = 29.96 min
- 5. Ea = 39.92 kJ/mol
- 6. X = 53.26 %
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