Silver chloride has a larger Ksp than silver carbonate. Does this mean that
AgCl also has a larger molar solubility than Ag2CO3?
No. The Ksp value can be compared for solubility if both materials have the same ratio of cation to anion. For example, one can say that
BaSO4 with Ksp = 1.1E-10 has about the same solubility (mole wise) as AgCl with a Ksp of 1.0E-10 since both BaSO4 and AgCl have a 1:1 ratio of cation to anion. Or PbCl2 can be compared with CaF2 since both are 1:2 ratio but can't be compared with Al(OH)3. All of this goes out the window if you are trying to compare with grams of solubility since molar masses are not the same for most materials.
The Ksp (solubility product constant) is a measure of the extent to which a compound dissolves in water. A larger Ksp value indicates that the compound is more soluble in water.
In this case, since silver chloride (AgCl) has a larger Ksp than silver carbonate (Ag2CO3), it means that AgCl is more soluble in water than Ag2CO3.
Therefore, silver chloride (AgCl) would have a larger molar solubility (the amount of a compound that dissolves in water per unit volume) than silver carbonate (Ag2CO3).
To determine whether the molar solubility of a compound is larger or smaller, we typically compare the solubility product constants (Ksp) of the compounds. In this case, we are comparing silver chloride (AgCl) to silver carbonate (Ag2CO3).
The solubility product constant (Ksp) represents the equilibrium constant for the dissolution of a sparingly soluble salt in water. It is a measure of the extent to which a compound dissociates into its constituent ions in a saturated solution. The higher the solubility product constant, the more soluble the compound is.
Since silver chloride (AgCl) has a larger Ksp than silver carbonate (Ag2CO3), it indicates that silver chloride is more soluble in water than silver carbonate. Therefore, we can conclude that AgCl likely has a larger molar solubility than Ag2CO3.
In summary, based on the comparison of their solubility product constants, we can infer that silver chloride (AgCl) has a larger molar solubility than silver carbonate (Ag2CO3).