Consider the Gibbs energies at 25 ∘ C. Substance Δ G ∘ f ( kJ ⋅ mol − 1 ) Ag + ( aq ) 77.1 Cl − ( aq ) − 131.2 AgCl ( s ) − 109.8 Br − ( aq ) − 104.0 AgBr ( s ) − 96.9 (a) Calculate Δ G ∘ rxn for the dissolution of AgCl ( s ) .

Respuesta :

Answer:

The ΔG° for the dissolution of AgCl solid is 55.7 kJ/mol.

Explanation:

The Gibbs free energy of the reaction is given by :

[tex]\Delta G_{rxn}^o=\sum[\Delta G^o_{f}]_{products}-\sum[\Delta G^o_{f}]_{reactants}[/tex]

So for reaction :

[tex]AgCl(s)\rightarrow Ag^+(aq)+Cl^-(aq)[/tex]

Gibbs free energy of formation of silver ions = [tex]\Delta G^o_{f,Ag^+}=77.1 kJ/mol[/tex]

Gibbs free energy of formation of chloride ions = [tex]\Delta G^o_{f,Cl^-}=-131.2 kJ/mol[/tex]

Gibbs free energy of formation of silver chloride solid= [tex]\Delta G^o_{f,AgCl}=-109.8 kJ/mol[/tex]

The Gibbs free energy of the reaction of dissolution of AgCl :[tex]\Delta G_{rxn}^o[/tex] :

[tex]\Delta G_{rxn}^o=[77.1 kJ/mol+(-131.2 kJ/mol)]-[-109.8 kJ/mol][/tex]

[tex]=55.7 kJ/mol[/tex]

The ΔG° for the dissolution of AgCl solid is 55.7 kJ/mol.

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