Calculate `K _(P)` for the reaction `3/2O _(2) (g) hArr O _(3)(g ) at 298 K . Delta G ^(@)` for the reaction is `163.43 kJ mol ^(-1).`

Explanation

According to van.t Hoff reaction isotherm, `Delta G^(@) = -RT ln K_(p)`
ln `K_(p) = -(Delta G^(@))/(RT) = -(163.43 xx 10^(3) J mol^(-1))/((8.314 J K^(-1) mol^(-1))(298 K)) = 2.0 xx 10^(-29)`