Question

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Calculate H298 and S298 for the following reactions: a) 2TiO + ½ O2 = Ti2O3 b)...

Calculate H298 and S298 for the following reactions:
a) 2TiO + ½ O2 = Ti2O3
b) 3Ti2O3 + ½ O2 = 2Ti3O5
c) Ti3O5 + ½ O2 = 3TiO2

Solutions

Expert Solution

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


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