A zero-order reaction A → products has a rate constant of 0.04 mol/(L·min). The initial concentration of A is 1.5 mol/L. Find the concentration CA after 30 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.04 mol/(L·min)CA0 = 1.5 mol/Lt = 30 min
CA = mol/L
2.Easy
A first-order reaction has a rate constant of 0.08 min⁻¹. Find its half-life t½.
k = 0.08 min⁻¹
t½ = min
3.Medium
A first-order reaction in a batch reactor has k = 0.2 min⁻¹. How long does it take to reach 99% conversion? Find t.
k = 0.2 min⁻¹X = 99 %
t = min
4.Medium
A second-order reaction (−rA = k·CA²) has k = 0.2 L/(mol·min) and an initial concentration of 0.5 mol/L. Find its first half-life t½.
k = 0.2 L/(mol·min)CA0 = 0.5 mol/L
t½ = min
5.Hard
A reaction has an activation energy of 90 kJ/mol. At 20 °C it is too slow. To what temperature T2 (in °C) must it be heated to make it 3 times faster?
Ea = 90 kJ/molT1 = 20 °Ck2/k1 = 3R = 8.314 J/(mol·K)
T2 = °C
6.Hard
The rate constant of a reaction is 0.1 min⁻¹ at 40 °C and 0.181 min⁻¹ at 50 °C. Find the activation energy Ea.
k1 = 0.1 min⁻¹T1 = 40 °Ck2 = 0.181 min⁻¹T2 = 50 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. CA = 0.3 mol/L
- 2. t½ = 8.664 min
- 3. t = 23.03 min
- 4. t½ = 10 min
- 5. T2 = 28.99 °C
- 6. Ea = 49.92 kJ/mol
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