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Multiple Choice
Which of the following salts has the highest molar solubility in water at room temperature?
A
AgCl
B
NaNO_3
C
CaCO_3
D
BaSO_4
Verified step by step guidance
1
Understand that molar solubility refers to the number of moles of a salt that can dissolve in a liter of water to form a saturated solution at a given temperature.
Recall that the solubility of ionic salts in water depends on their solubility product constant, $K_{sp}$, which quantifies the extent to which the salt dissociates into its ions in solution.
Recognize that salts like NaNO$_3$ are generally highly soluble because they dissociate completely into ions (Na$^+$ and NO$_3^-$) and have very large $K_{sp}$ values, effectively making their solubility limited only by the amount added.
Compare the $K_{sp}$ values of the other salts (AgCl, CaCO$_3$, BaSO$_4$), which are known to be sparingly soluble salts with much smaller $K_{sp}$ values, indicating lower molar solubility.
Conclude that the salt with the highest molar solubility is the one with the largest $K_{sp}$ or that is known to be highly soluble, which in this case is NaNO$_3$.