Using Gibb's free energy change, `DeltaG^(@)=+63.3kJ`, for the following reaction:
`Ag_(2)CO_(3)(s)hArr2Ag^(+)(aq)+CO_(3)^(2-)(aq)` the `K_(s)` for `Ag_(2)CO_(3)` in water at `25^(@)C` is `(R=8.314JK^(-1)mol^(-1)`)

Options

A. `3.2xx10^(-26)`
B. `8.0xx10^(-12)`
C. `2.9xx10^(-3)`
D. `7.9xx10^(-2)`

Answer

B

Explanation

`DeltaG^(@)=-2.303RTlogK_(s)`
`63.3xx10^(3)J=-2.303xx8.314xx298logK_(s)`
`=-5705.85logK_(s)`
`logK_(s)=(63.3xx10^(3))/(5705.84)=-11.09`
`K_(s)="antilog"(bar12.91)`
`=8.128xx10^(-12)`