A zero-order reaction A → products has a rate constant of 0.04 mol/(L·min). The initial concentration of A is 0.8 mol/L. Find the concentration CA after 10 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.04 mol/(L·min)CA0 = 0.8 mol/Lt = 10 min
CA = mol/L
2.Easy
A first-order reaction has a rate constant of 0.2 min⁻¹. Find its half-life t½.
k = 0.2 min⁻¹
t½ = min
3.Medium
A zero-order reaction has k = 0.005 mol/(L·min) and starts at 0.8 mol/L. How long does it take to reach 60% conversion? Find t.
k = 0.005 mol/(L·min)CA0 = 0.8 mol/LX = 60 %
t = min
4.Medium
A zero-order reaction has k = 0.025 mol/(L·min) and starts at 1 mol/L. How long does it take to reach 60% conversion? Find t.
k = 0.025 mol/(L·min)CA0 = 1 mol/LX = 60 %
t = min
5.Hard
A reaction has a rate constant of 0.01 min⁻¹ at 40 °C and an activation energy of 70 kJ/mol. Find the rate constant k2 at 65 °C.
k1 = 0.01 min⁻¹T1 = 40 °CT2 = 65 °CEa = 70 kJ/molR = 8.314 J/(mol·K)
k2 = min⁻¹
6.Hard
A first-order reaction has a rate constant of 0.001 s⁻¹ at 40 °C and an activation energy of 80 kJ/mol. Find the pre-exponential factor A in the Arrhenius equation.
k = 0.001 s⁻¹T = 40 °CEa = 80 kJ/molR = 8.314 J/(mol·K)
A = s⁻¹
Answer key
- 1. CA = 0.4 mol/L
- 2. t½ = 3.466 min
- 3. t = 96 min
- 4. t = 24 min
- 5. k2 = 0.07299 min⁻¹
- 6. A = 2.212 × 10¹⁰ s⁻¹
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