A first-order reaction A → products has a rate constant of 0.2 min⁻¹. The initial concentration of A is 0.5 mol/L. Find the concentration CA after 10 min.
Reaction kinetics worksheet with answers
1.Easy
k = 0.2 min⁻¹CA0 = 0.5 mol/Lt = 10 min
CA = mol/L
2.Easy
A first-order reaction has a rate constant of 0.25 min⁻¹. Find its half-life t½.
k = 0.25 min⁻¹
t½ = min
3.Medium
A first-order reaction in a batch reactor has k = 0.01 min⁻¹. How long does it take to reach 99% conversion? Find t.
k = 0.01 min⁻¹X = 99 %
t = min
4.Medium
A first-order reaction in a batch reactor has k = 0.1 min⁻¹. How long does it take to reach 60% conversion? Find t.
k = 0.1 min⁻¹X = 60 %
t = min
5.Hard
A first-order reaction has k = 0.005 min⁻¹ at 25 °C and an activation energy of 60 kJ/mol. The batch reactor is now run at 50 °C for 20 min. Find the conversion X reached.
k1 = 0.005 min⁻¹T1 = 25 °CEa = 60 kJ/molT2 = 50 °Ct = 20 minR = 8.314 J/(mol·K)
X = %
6.Hard
A first-order reaction has a rate constant of 0.001 s⁻¹ at 40 °C and an activation energy of 60 kJ/mol. Find the pre-exponential factor A in the Arrhenius equation.
k = 0.001 s⁻¹T = 40 °CEa = 60 kJ/molR = 8.314 J/(mol·K)
A = s⁻¹
Answer key
- 1. CA = 0.06767 mol/L
- 2. t½ = 2.773 min
- 3. t = 460.5 min
- 4. t = 9.163 min
- 5. X = 47.82 %
- 6. A = 1.02 × 10⁷ s⁻¹
Full step-by-step solutions: practise this topic on examproblems.com.