# What is the silver carbonate formula?

Jun 1, 2018

Well, silver commonly forms a $A {g}^{+}$ cation....

#### Explanation:

And when it makes music with carbonate anion...

$2 A {g}^{+} + C {O}_{3}^{2 -} \rightarrow A {g}_{2} C {O}_{3} \left(s\right) \downarrow$

Wikipedia says that ${K}_{\text{sp}} = 8.46 \times {10}^{-} 12$ for $\text{silver carbonate...}$... under standard conditions, and we can use this value to assess the solubility of silver carbonate...

$A {g}_{2} C {O}_{3} \left(s\right) \stackrel{{H}_{2} O}{\rightarrow} 2 A {g}^{+} + C {O}_{3}^{2 -}$...

...for which ${K}_{\text{sp}} = {\left[A {g}^{+}\right]}^{2} \left[C {O}_{3}^{-}\right]$

And given the equation....[Ag^+]=2S; [CO_3^(2-)]=S...

And so ${K}_{\text{sp}} = {\left(2 S\right)}^{2} S = 4 {S}^{3}$

And (finally) ${S}_{\text{solubility of silver carbonate"=}}^{3} \sqrt{\frac{8.46 \times {10}^{-} 12}{4}} = 1.28 \times {10}^{-} 4 \cdot m o l \cdot {L}^{-} 1$

A solubility in …………………………….$g \cdot {L}^{-} 1 = 1.28 \times {10}^{-} 4 \cdot m o l \cdot {L}^{-} 1 \times 275.81 \cdot g \cdot m o {l}^{-} 1 = 35 \cdot m g \cdot {L}^{-} 1$...