A first-order reaction has a rate constant of 0.15 min⁻¹. Find its half-life t½.
Reaction kinetics worksheet with answers
1.Easy
k = 0.15 min⁻¹
t½ = min
2.Easy
A first-order reaction has a half-life of 20 min. What percentage f of the reactant is still left after 100 min?
t½ = 20 mint = 100 min
f = %
3.Medium
A first-order reaction in a batch reactor has k = 0.01 min⁻¹. How long does it take to reach 95% conversion? Find t.
k = 0.01 min⁻¹X = 95 %
t = min
4.Medium
A zero-order reaction has k = 0.02 mol/(L·min) and starts at 1 mol/L. How long does it take to reach 50% conversion? Find t.
k = 0.02 mol/(L·min)CA0 = 1 mol/LX = 50 %
t = min
5.Hard
The rate constant of a reaction is 0.005 min⁻¹ at 30 °C and 0.0952 min⁻¹ at 50 °C. Find the activation energy Ea.
k1 = 0.005 min⁻¹T1 = 30 °Ck2 = 0.0952 min⁻¹T2 = 50 °CR = 8.314 J/(mol·K)
Ea = kJ/mol
6.Hard
Two experiments measure the initial rate of A → products. With CA0 = 0.5 mol/L the rate is 0.012 mol/(L·s); with CA0 = 1 mol/L it is 0.024 mol/(L·s). Find the reaction order n with respect to A.
CA0,1 = 0.5 mol/Lr1 = 0.012 mol/(L·s)CA0,2 = 1 mol/Lr2 = 0.024 mol/(L·s)
n =
Answer key
- 1. t½ = 4.621 min
- 2. f = 3.125 %
- 3. t = 299.6 min
- 4. t = 25 min
- 5. Ea = 120 kJ/mol
- 6. n = 1
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