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What is the Gibbs free energy for this reaction at 3652 K ? Assume that AH and AS do not change with temperature, Express you


The chemical reaction that causes iron to corrode in air is given by 4Fe +30, +2Fe2O3 in which at 298 K AHX = - 1684 kJ ASX =
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Answer #1

Equation to be used:

ΔG = ΔH – TΔS                

( ΔG = Gibbs free energy change, ΔH =Enthalpy change, T = Temperature, ΔS = entropy change)

Part B:

ΔH°rxn = -1684 kJ

ΔS°rxn = -543.7 J/K = -0.5437 kJ/K                            [1000J = 1kJ]

T = 3652 K

Putting the values in the equation, we get:

ΔG = ( -1684 kJ ) – (3652 K)( -0.5437 kJ/K)

Or, ΔG = 301.59 kJ

Part C

At equilibrium, ΔG° = 0.

So, at equilibrium ΔH°= Teq ΔS°

Putting the values :

-1684 kJ = Teq (-0.5437 kJ/K)

Or, Teq = 3097 K

(Here, the value of ΔH and ΔS used have been same throughout since it is mentioned that they do not change with temperature.

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