Answer:
288 K
Explanation:
Step 1: Given data
- Standard Gibbs free energy of reaction (ΔG°): 55.4 kJ/mol
- Equilibrium constant (K): 9.1 × 10⁻¹¹
Step 2: Calculate the temperature at which the equilibrium constant is 9.1 × 10⁻¹¹
We will use the following expression.
ΔG° = -R × T × lnK
where,
R: ideal gas constant
T: absolute temperature
T = -ΔG° /R × lnK
T = -(55.4 × 10³ J/mol) /(8.314 J/mol.K) × ln 9.1 × 10⁻¹¹ = 288 K
