Respuesta :
Answer:
2.6 kJ/mol
Explanation:
Step 1: Given data
- Standard enthalpy of vaporization of water (ΔH°): 40.7 kJ/mol
- Standard entropy of vaporization of water (ΔS°): 109 J/mol.K
- Absolute temperature (T): 350 K
- Standard Gibbs free energy of vaporization of water (ΔG°): ?
Step 2: Calculate ΔG°
We can calculate ΔG° using the following expression.
ΔG° = ΔH° - T × ΔS°
ΔG° = 40.7 kJ/mol - 350 K × 0.109 kJ/mol.K
ΔG° = 2.6 kJ/mol
The change in Gibbs free energy, ΔG for the water is 2.55 KJ/mol
Data obtained from the question
From the question given above, the following data were obtained:
- Standard enthalpy of vaporization of water (ΔH°) = 40.7 kJ/mol
- Standard entropy of vaporization of water (ΔS°) = 109 J/Kmol = 109 / 1000 = 0.109 KJ/Kmol
- Absolute temperature (T) = 350 K
- Standard Gibbs free energy (ΔG°) =?
How to determine the Gibbs free energy, ΔG°
The Gibbs free energy, ΔG° can be obtained as illustrated below:
ΔG° = ΔH° – TΔS°
ΔG° = 40.7 – (350 × 0.109)
ΔG° = 40.7 – 38.15
ΔG° = 2.55 KJ/mol
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