A first-order reaction has a rate constant of 0.2 min⁻¹. Find its half-life t½.
Reaction kinetics worksheet with answers
1.Easy
k = 0.2 min⁻¹
t½ = min
2.Easy
A first-order reaction has a rate constant of 0.15 min⁻¹. Find its half-life t½.
k = 0.15 min⁻¹
t½ = min
3.Medium
A zero-order reaction has k = 0.05 mol/(L·min) and starts at 1.5 mol/L. How long does it take to reach 40% conversion? Find t.
k = 0.05 mol/(L·min)CA0 = 1.5 mol/LX = 40 %
t = min
4.Medium
A reaction with rate law −rA = k·CA² has k = 0.25 L/(mol·min) and starts at 2 mol/L. Find the concentration CA after 5 min.
k = 0.25 L/(mol·min)CA0 = 2 mol/Lt = 5 min
CA = mol/L
5.Hard
A reaction has an activation energy of 50 kJ/mol. At 20 °C it is too slow. To what temperature T2 (in °C) must it be heated to make it 5 times faster?
Ea = 50 kJ/molT1 = 20 °Ck2/k1 = 5R = 8.314 J/(mol·K)
T2 = °C
6.Hard
A reaction has a rate constant of 0.1 min⁻¹ at 25 °C and an activation energy of 50 kJ/mol. Find the rate constant k2 at 55 °C.
k1 = 0.1 min⁻¹T1 = 25 °CT2 = 55 °CEa = 50 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
Answer key
- 1. t½ = 3.466 min
- 2. t½ = 4.621 min
- 3. t = 12 min
- 4. CA = 0.5714 mol/L
- 5. T2 = 44.96 °C
- 6. k2 = 0.6322 min⁻¹
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