Answer
$K_{sp} = [Ag^+]^3[As{O_4}^{3-}]$
Work Step by Step
1. Identify the ions, and write the equilibrium reaction for the dissociation of the salt $(Ag_3AsO_4)$:
- $Ag^{+}$ and $A{sO_4}^{3-}$
- $Ag_3AsO_4(s) \lt -- \gt Ag^{+}(aq) + A{sO_4}^{3-}(aq)$
2. Balance the reaction:
- $1Ag_3AsO_4(s) \lt -- \gt 3Ag^{+}(aq) + 1A{sO_4}^{3-}(aq)$
3. Write the $K_{sp}$ expression:
- Multiply the concentrations of the ions.
- The balancing coefficients are used to determine the exponents of the concentrations.
- $K_{sp} = [Ag^+]^3 \times[As{O_4}^{3-}]^1$