Question

Two equilibrium `ABhArrA^(o+)+B^(Θ)` and `AB+B^(Θ)hArrAB_(2)^(Θ)` are simultaneously maintained in a solution with equilibrium constants `K_(1)` and `k_(2)`, respectively. Ratio of `[A^(o+)]` to `[AB_(2)^(Θ)]` in the solution is
A. Direclty proportional to `[B^(ɵ)]`
B. Inversely proportional to `[B^(ɵ)]`
C. Directly proportional to `[B^(ɵ)]^(2)`
D. Inversely proportional to `[B^(ɵ)]^(2)`

Answer 1

Correct Answer - D
`K_(1)=([AB^(o+)][B^(ɵ)])/([AB]), K_(2)=[AB_(2)^(ɵ)]//[AB][B^(ɵ)]`
or `[A^(o+)]=(K_(1)[AB])/([B^(ɵ)]),[AB_(2)^(ɵ)]=(K_(2)[AB][B^(ɵ)])/([AB_(2)^(ɵ)])`
`:.([A^(o+)])/([AB_(2)^(ɵ)]) prop1/([B^(ɵ)]^(2))`