question archive Consider the Gibbs energies at 25 ?C

Consider the Gibbs energies at 25 ?C

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Consider the Gibbs energies at 25 ?C.

SubstanceSubstance ΔG?f (kJ⋅mol−1)ΔGf? (kJ·mol−1)
Ag+(aq)Ag+(aq) 77.177.1
Cl−(aq)Cl−(aq) −131.2−131.2
AgCl(s)AgCl(s) −109.8−109.8
Br−(aq)Br−(aq) −104.0−104.0
AgBr(s)AgBr(s) −96.9−96.9

(a) Calculate ΔG?rxn for the dissolution of AgCl(s)AgCl(s).

kJ⋅mol−1

(b) Calculate the solubility-product constant of AgCl.

K=

(c) Calculate ΔG?rxnΔGrxn? for the dissolution of AgBr(s)AgBr(s).

kJ⋅mol−1kJ⋅mol−1

(d) Calculate the solubility-product constant of AgBr.

K=K=

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a.

AgCl(s) <--------------->   Ag^+(aq) + Cl^-(aq)

ΔG?rxn    = ΔG?f products - ΔG?f reactants

               = -131.2+77.1 -(-109.8)

                = 55.7KJ/mole

b.

ΔG?rxn    = 55700J/mole

ΔG?rxn     = -RTlnKsp

55700    = -8.314*298lnKsp

lnKsp   = 55700/(-8.314*298)

lnKsp    = -22.48

Ksp    = 1.73*10^-10   >>>>>answer

c.

AgBr(s) <--------------->   Ag^+(aq) + Br^-(aq)

ΔG?rxn    = ΔG?f products - ΔG?f reactants

               = -104+77.1 -(-96.9)

                = 70KJ/mole

d.

ΔG?rxn    = 70000J/mole

ΔG?rxn     = -RTlnKsp

70000    = -8.314*298lnKsp

lnKsp   = 70000/(-8.314*298)

lnKsp    = -28.25

Ksp    = 5.4*10^-13 >>>>>answer