The enthalpy of tetramerization of X in gas phase (4X(g) → X4(g)) is – 100 kJ/mol at 300 K. The enthalpy of vaporisation for liquid X and X4 are respectively 30 kJ/mol and 72 kJ/mol respectively. ΔS for tetramerization of X in liquid phase is – 125 J / K mol at 300 K. What is the ΔG at 300 K for tetramerization of X in liquid phase ?

Engineering

Chemistry

Gibbs Free Energy Calculations and Third Law

Question

The enthalpy of tetramerization of X in gas phase (4X(g) → X₄(g)) is – 100 kJ/mol at 300 K.
The enthalpy of vaporisation for liquid X and X₄ are respectively 30 kJ/mol and 72 kJ/mol respectively.
ΔS for tetramerization of X in liquid phase is – 125 J / K mol at 300 K.
What is the ΔG at 300 K for tetramerization of X in liquid phase ?

–52 kJ/mol

–14.5 kJ/mol

–89.5 kJ/mol

None of these

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4X(ℓ) → 4X(g) → X₄(g) → X₄(ℓ)
for tetramerization of liquid
ΔH = 30 × 4 – 100 – 72
ΔH = – 52 kJ/mol
ΔS = – 125 J/mol / K
ΔG = ΔH – T.ΔS
ΔG = –52 – 300 × (–125) / 1000 = –52 + 37.5
ΔG = –14.5 kJ/mol