In: Other
Calculate H298 and S298 for the following reactions:
a) 2TiO + ½ O2 = Ti2O3
b) 3Ti2O3 + ½ O2 = 2Ti3O5
c) Ti3O5 + ½ O2 = 3TiO2
Part a
2TiO + ½ O2 = Ti2O3
Enthalpy change for the reaction = sum of Enthalpy of formation of products - sum of Enthalpy of formation of reactants
H = Hf(Ti2O3) - 0.5*Hf(O2) - 2*Hf(TiO)
= - 1521 - 0 - 2*(-543)
= - 435 kJ/mol
Entropy change for the reaction = sum of Entropy of formation of products - sum of Entropy of formation of reactants
S = Sf(Ti2O3) - 0.5*Sf(O2) - 2*Sf(TiO)
= 77.2 - 0.5*205.1 - 2*(34.7)
= - 94.75 J/mol·K
Part b
3Ti2O3 + ½ O2 = 2Ti3O5
Enthalpy change
H = 2*Hf(Ti3O5) - 0.5*Hf(O2) - 3*Hf(Ti2O3)
= 2*(-2459) - 0 - 3*(-1521)
= - 355 kJ/mol
Entropy change
S = 2*Sf(Ti3O5) - 0.5*Sf(O2) - 3*Sf(Ti2O3)
= 2*(129.4) - 0.5*205.1 - 3*(77.2)
= - 75.35 J/mol·K
Part c
Ti3O5 + ½ O2 = 3TiO2
Enthalpy change
H = 3*Hf(TiO2) - 0.5*Hf(O2) - Hf(Ti3O5)
= 3*(-944) - 0 - (-2459)
= - 373 kJ/mol
Entropy change
S = 3*Sf(TiO2) - 0.5*Sf(O2) - Sf(Ti3O5)
= 3*(50.6) - 0.5*205.1 - (129.4)
= - 80.15 J/mol·K