A first-order reaction has a rate constant of 0.025 min⁻¹. Find its half-life t½.
Reaction kinetics worksheet with answers
1.Easy
k = 0.025 min⁻¹
t½ = min
2.Easy
A first-order reaction has a half-life of 10 min. What percentage f of the reactant is still left after 5 min?
t½ = 10 mint = 5 min
f = %
3.Medium
A reaction with rate law −rA = k·CA² has k = 0.2 L/(mol·min) and starts at 0.5 mol/L. Find the concentration CA after 30 min.
k = 0.2 L/(mol·min)CA0 = 0.5 mol/Lt = 30 min
CA = mol/L
4.Medium
A reaction with rate law −rA = k·CA² has k = 0.1 L/(mol·min) and starts at 1.5 mol/L. Find the concentration CA after 15 min.
k = 0.1 L/(mol·min)CA0 = 1.5 mol/Lt = 15 min
CA = mol/L
5.Hard
A reaction has an activation energy of 100 kJ/mol. At 25 °C it is too slow. To what temperature T2 (in °C) must it be heated to make it 2 times faster?
Ea = 100 kJ/molT1 = 25 °Ck2/k1 = 2R = 8.314 J/(mol·K)
T2 = °C
6.Hard
A first-order reaction has a rate constant of 0.001 s⁻¹ at 60 °C and an activation energy of 50 kJ/mol. Find the pre-exponential factor A in the Arrhenius equation.
k = 0.001 s⁻¹T = 60 °CEa = 50 kJ/molR = 8.314 J/(mol·K)
A = s⁻¹
Answer key
- 1. t½ = 27.73 min
- 2. f = 70.71 %
- 3. CA = 0.125 mol/L
- 4. CA = 0.4615 mol/L
- 5. T2 = 30.21 °C
- 6. A = 69150 s⁻¹
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