3 TiO2 (s rutile) + 4 BrF3 (ℓ) → 3 TiF4 (s) + 2 Br2 (ℓ) + 3 O2 (g)

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Stoichiometry

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TiO2           Mass: g
BrF3           Mass: g
TiF4           Mass: g
Br2            Mass: g
O2             Mass: g  or Gas Volume: L

Enthalpy of Reaction

[3ΔHf(TiF4 (s)) + 2ΔHf(Br2 (ℓ)) + 3ΔHf(O2 (g))] - [3ΔHf(TiO2 (s rutile)) + 4ΔHf(BrF3 (ℓ))]
[3(-1649.33) + 2(0) + 3(0)] - [3(-944.75) + 4(-300.83)] = -910.42 kJ
-910.42 kJ     (exothermic)

Entropy Change

[3ΔSf(TiF4 (s)) + 2ΔSf(Br2 (ℓ)) + 3ΔSf(O2 (g))] - [3ΔSf(TiO2 (s rutile)) + 4ΔSf(BrF3 (ℓ))]
[3(133.97) + 2(152.23) + 3(205.03)] - [3(50.33) + 4(178.24)] = 457.51 J/K
457.51 J/K     (increase in entropy)

Free Energy of Reaction (at 298.15 K)

From ΔGf° values:
[3ΔGf(TiF4 (s)) + 2ΔGf(Br2 (ℓ)) + 3ΔGf(O2 (g))] - [3ΔGf(TiO2 (s rutile)) + 4ΔGf(BrF3 (ℓ))]
[3(-1559.38) + 2(0) + 3(0)] - [3(-889.52) + 4(-240.58)] = -1047.26 kJ
-1,047.26 kJ     (spontaneous)

From ΔG = ΔH - TΔS:
-1046.83 kJ     (spontaneous)

Equilibrium Constant, K (at 298.15 K)

3.03545007898217E+183
This process is favorable at 25°C.

Reference(s):

Kotz, John C. and Treichel, Paul. Chemistry & Chemical Reactivity 4th ed.; Thomson Brooks/Cole: Belmont, CA, 1999; p 166.
Kotz, John C., Treichel, Paul, and Weaver, Gabriela. Chemistry & Chemical Reactivity 6th ed.; Thomson Brooks/Cole: Belmont, CA, 2006; p 161.

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