Br2 (g) → 2 Br (g)

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Stoichiometry

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Br2            Mass: g  or Gas Volume: L
Br             Mass: g  or Gas Volume: L

Enthalpy of Reaction

[2ΔHf(Br (g))] - [1ΔHf(Br2 (g))]
[2(111.88)] - [1(30.91)] = 192.85 kJ
192.85 kJ     (endothermic)

Entropy Change

[2ΔSf(Br (g))] - [1ΔSf(Br2 (g))]
[2(174.91)] - [1(245.35)] = 104.47 J/K
104.47 J/K     (increase in entropy)

Free Energy of Reaction (at 298.15 K)

From ΔGf° values:
[2ΔGf(Br (g))] - [1ΔGf(Br2 (g))]
[2(82.43)] - [1(3.14)] = 161.72 kJ
161.72 kJ     (nonspontaneous)

From ΔG = ΔH - TΔS:
161.70 kJ     (nonspontaneous)

Equilibrium Constant, K (at 298.15 K)

4.63772820310462E-29
This process is not favorable at 25°C.

Reference(s):

Atkins, Jones, and Laverman. Chemical Principles 6th ed.; W.H. Freeman and Company: New York, NY, 2013; p 428.

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