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 JK ^(-1) mol ) ( 298 K)) = 2. 0 xx 10 ^(-29)`