Answer:
Ag₂CO₃ will precipitate first.
Step-by-step explanation:
The Solubility product constant, Ksp, describes the equilibrium between a solid and its corresponding ions in a solution. Its value gives the how well the compound will dissociate in water. The higher the Ksp, the more soluble the compound is.
For this question where all of the parameters for the two contributing ions of the two salts whose solubilities are being compared are the same (the number of moles and molarities of the respective ions are the same), the salt with the lower Ksp will precipitate first.
Ksp for Ag₂CO₃ = (8.46 × 10⁻¹²)
Ksp for AgCl = (1.77 × 10⁻¹⁰)
So, it is evident that Ag₂CO₃ will precipitate first, given that it has a lower Ksp than AgCl.
Hope this Helps!!!