In a Finkelstein reaction, 1‑chloropropane is converted to 1‑iodopropane by excess NaI in dry acetone at 298 K. The standard Gibbs free energy change for the reaction is ΔG° = –3.4 kJ mol⁻¹. Calculate the equilibrium constant K at this temperature.
Answer
(K approx 4.0)
The correct answer is (K approx 4.0) — Thus the equilibrium constant is approximately 4.0.
Step-by-step solution
- Convert ΔG° to joules: ΔG° = –3400 J mol⁻¹.
- Use the relation ΔG° = –RT ln K, where R = 8.314 J mol⁻¹ K⁻¹ and T = 298 K.
- Solve for ln K: ln K = –(ΔG°)/(RT) = 3400/(8.314×298) = 1.374.
- Exponentiate to get K: K = ≈ 3.95 ≈ 4.0.
- Thus the equilibrium constant is approximately 4.0.
Common mistake: Ignoring the unit conversion or the negative sign in ΔG°
Concept tested: Equilibrium constant from Gibbs free energy
Published · How this solution was prepared and checked
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