A first-order reaction A → products has a rate constant of 0.01 min⁻¹. The initial concentration of A is 1 mol/L. Find the concentration CA after 90 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.01 min⁻¹CA0 = 1 mol/Lt = 90 min
CA = mol/L
2.Easy
A first-order reaction has a half-life of 5 min. What percentage f of the reactant is still left after 10 min?
t½ = 5 mint = 10 min
f = %
3.Medium
A second-order reaction (−rA = k·CA²) has k = 0.1 L/(mol·min) and an initial concentration of 2 mol/L. Find its first half-life t½.
k = 0.1 L/(mol·min)CA0 = 2 mol/L
t½ = min
4.Medium
A first-order reaction in a batch reactor has k = 0.01 min⁻¹. How long does it take to reach 90% conversion? Find t.
k = 0.01 min⁻¹X = 90 %
t = min
5.Hard
A first-order reaction has k = 0.02 min⁻¹ at 25 °C and an activation energy of 90 kJ/mol. The batch reactor is now run at 50 °C for 15 min. Find the conversion X reached.
k1 = 0.02 min⁻¹T1 = 25 °CEa = 90 kJ/molT2 = 50 °Ct = 15 minR = 8.314 J/(mol·K)
X = %
6.Hard
A reaction has an activation energy of 55 kJ/mol. At 20 °C it is too slow. To what temperature T2 (in °C) must it be heated to make it 2 times faster?
Ea = 55 kJ/molT1 = 20 °Ck2/k1 = 2R = 8.314 J/(mol·K)
T2 = °C
Answer key
- 1. CA = 0.4066 mol/L
- 2. f = 25 %
- 3. t½ = 5 min
- 4. t = 230.3 min
- 5. X = 99.31 %
- 6. T2 = 29.29 °C
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