A first-order reaction A → products has a rate constant of 0.05 min⁻¹. The initial concentration of A is 2 mol/L. Find the concentration CA after 40 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.05 min⁻¹CA0 = 2 mol/Lt = 40 min
CA = mol/L
2.Easy
A first-order reaction A → products has a rate constant of 0.25 min⁻¹. The initial concentration of A is 1.5 mol/L. Find the concentration CA after 5 min.
k = 0.25 min⁻¹CA0 = 1.5 mol/Lt = 5 min
CA = mol/L
3.Medium
A second-order reaction (−rA = k·CA²) has k = 0.8 L/(mol·min) and an initial concentration of 1.5 mol/L. Find its first half-life t½.
k = 0.8 L/(mol·min)CA0 = 1.5 mol/L
t½ = min
4.Medium
A first-order reaction in a batch reactor has k = 0.01 min⁻¹. How long does it take to reach 50% conversion? Find t.
k = 0.01 min⁻¹X = 50 %
t = min
5.Hard
A reaction has an activation energy of 70 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 = 70 kJ/molT1 = 20 °Ck2/k1 = 3R = 8.314 J/(mol·K)
T2 = °C
6.Hard
A reaction has a rate constant of 0.1 min⁻¹ at 40 °C and an activation energy of 50 kJ/mol. Find the rate constant k2 at 60 °C.
k1 = 0.1 min⁻¹T1 = 40 °CT2 = 60 °CEa = 50 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
Answer key
- 1. CA = 0.2707 mol/L
- 2. CA = 0.4298 mol/L
- 3. t½ = 0.8333 min
- 4. t = 69.31 min
- 5. T2 = 31.66 °C
- 6. k2 = 0.3167 min⁻¹
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