A first-order reaction has a rate constant of 0.08 min⁻¹. Find its half-life t½.
Reaction kinetics worksheet with answers
1.Easy
k = 0.08 min⁻¹
t½ = min
2.Easy
A first-order reaction has a half-life of 4 min. Find its rate constant k.
t½ = 4 min
k = min⁻¹
3.Medium
A first-order reaction in a batch reactor has k = 0.02 min⁻¹. How long does it take to reach 80% conversion? Find t.
k = 0.02 min⁻¹X = 80 %
t = min
4.Medium
A second-order reaction (−rA = k·CA²) has k = 0.2 L/(mol·min) and an initial concentration of 2 mol/L. Find its first half-life t½.
k = 0.2 L/(mol·min)CA0 = 2 mol/L
t½ = min
5.Hard
A first-order reaction has a rate constant of 0.005 s⁻¹ at 25 °C and an activation energy of 75 kJ/mol. Find the pre-exponential factor A in the Arrhenius equation.
k = 0.005 s⁻¹T = 25 °CEa = 75 kJ/molR = 8.314 J/(mol·K)
A = s⁻¹
6.Hard
A reaction has a rate constant of 0.005 min⁻¹ at 40 °C and an activation energy of 50 kJ/mol. Find the rate constant k2 at 70 °C.
k1 = 0.005 min⁻¹T1 = 40 °CT2 = 70 °CEa = 50 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
Answer key
- 1. t½ = 8.664 min
- 2. k = 0.1733 min⁻¹
- 3. t = 80.47 min
- 4. t½ = 2.5 min
- 5. A = 6.905 × 10¹⁰ s⁻¹
- 6. k2 = 0.0268 min⁻¹
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