1.

Calculate : (i) Ratio of [Ag(NH_(3))_(2)]^(+) and [Ag^(+)] in 0.1M NH_(3) solution (ii) Ratio of [Ag(S_(2)O_(3))_(2)]^(3-) and [Ag^(+)] in 0.1M S_(2)O_(3)^(2-) solution. Given that the stability/formation constants (K_(f)) for [Ag(NH_(3))_(2)]^(+) and [Ag(S_(2)O_(3))_(2)]^(3-) are 1.7xx10^(7) and 1.0xx10^(13) respectively.

Answer»

Solution :(i) The equilibrium is :
`Ag^(+)+2NH_(3)overset(K_(f))iff[Ag(NH_(3))_(2)]^(+)`
`therefore` STABILITY CONSTANT, `K_(f)=([Ag(NH_(3))_(2)]^(+))/([Ag^(+)][NH_(3)]^(2))=1.7xx10^(7)` (Given)
or `([Ag(NH_(3))_(2)]^(+))/([Ag^(+)])=1.7xx10^(7)xx[NH_(3)]^(2)=1.7xx10^(7)xx(0.1)^(2)=1.7xx10^(5)`
(ii) The equilibrium is : `Ag^(+)+2S_(2)O_(3)^(2-)overset(K_(f))iff[Ag(S_(2)O_(3))_(2)]^(3-)`
`therefore` Stability constant, `K_(f)=([Ag(S_(2)O_(3))_(2)]^(3-))/([Ag^(+)][S_(2)O_(3)^(2-)]^(2))=1.0xx10^(13)`(Given)
`therefore ([Ag(S_(2)O_(3))_(2)]^(3-))/([Ag^(+)])=1.0xx10^(13)xx[S_(2)O_(3)^(2-)]^(2)=1.0xx10^(13)(0.1)^(2)=1xx10^(11)`


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