A first-order reaction has a half-life of 5 min. Find its rate constant k.
Reaction kinetics worksheet with answers
1.Easy
t½ = 5 min
k = min⁻¹
2.Easy
A first-order reaction has a half-life of 30 min. What percentage f of the reactant is still left after 15 min?
t½ = 30 mint = 15 min
f = %
3.Medium
A reaction with rate law −rA = k·CA² has k = 0.25 L/(mol·min) and starts at 0.5 mol/L. Find the concentration CA after 5 min.
k = 0.25 L/(mol·min)CA0 = 0.5 mol/Lt = 5 min
CA = mol/L
4.Medium
In a first-order reaction the concentration of A falls from 0.5 mol/L to 0.2 mol/L in 5 min. Find the rate constant k.
CA0 = 0.5 mol/LCA = 0.2 mol/Lt = 5 min
k = min⁻¹
5.Hard
A reaction has an activation energy of 70 kJ/mol. At 50 °C it is too slow. To what temperature T2 (in °C) must it be heated to make it 2 times faster?
Ea = 70 kJ/molT1 = 50 °Ck2/k1 = 2R = 8.314 J/(mol·K)
T2 = °C
6.Hard
The rate constant of a reaction is 0.002 min⁻¹ at 35 °C and 0.0462 min⁻¹ at 75 °C. Find the activation energy Ea.
k1 = 0.002 min⁻¹T1 = 35 °Ck2 = 0.0462 min⁻¹T2 = 75 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
Answer key
- 1. k = 0.1386 min⁻¹
- 2. f = 70.71 %
- 3. CA = 0.3077 mol/L
- 4. k = 0.1833 min⁻¹
- 5. T2 = 58.83 °C
- 6. Ea = 70.01 kJ/mol
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