The temperature dependence of equilibrium constant of a reaction is given by In `K_(eq) = 4.8 -(2059)/(T)`. Find `Delta_(r)G^(Theta), Delta_(r)H^(Theta), Delta_(r)S^(Theta)`.

Explanation

Compare In `K_(eq) = 4.8 - (2059)/(T)`
with In `K_(eq) = (Delta_(r)S^(Theta))/(R ) -(Delta_(r)H^(Theta))/(RT)`
We have: `(Delta_(r)S^(Theta))/(R ) = 4.8`
`rArr Delta_(r)S^(Theta) = 4.8 xx 8.314 J K^(-1) = 399.9 JK^(-1)`
`(Delta_(r)H^(Theta))/(R ) = 2059 rArr Delta_(r)H^(Theta) = 2059 xx 8.314 J K^(-1)`
`= 17.12 kJ K^(-1)`
and `Delta_(r)G^(Theta) =Delta_(r)H^(Theta) - T Delta_(r)S^(Theta) = 17.12 - 298 xx 39.9 xx 10^(-3)`
`= 5.31 kJ K^(-1)`