Answer: The actual value of [tex]\Delta G[/tex] is -618 J/mol
Explanation:
Relation of ree energy change and equilibrium constant
[tex]\Delta G=\Delta G^0+2.303\times RT\times \log K_{eq}[/tex]
where,
[tex]\Delta G[/tex] = Free energy change
[tex]\Delta G^o[/tex] = standard free energy change = +29 kJ/mol =
R = universal gas constant
T = temperature = [tex]37^0C=(37+273)K=310K[/tex]
[tex]K_{eq}[/tex] = equilibrium constant = [tex]1.02\times 10^{-5}[/tex]
[tex]\Delta G=+29000J/mol+2.303\times 8.314J/Kmol\times 310K\times \log (1.02\times 10^{-5})[/tex]
[tex]\Delta G=29000J/mol-29619J/mol=-618J/mol[/tex]
The actual value of [tex]\Delta G[/tex] is -618 J/mol