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Multiple Choice
Which of the following compounds will have the highest molar solubility in pure water?
A
BaSO_4
B
AgCl
C
NaNO_3
D
CaCO_3
Verified step by step guidance
1
Step 1: Understand that molar solubility refers to the number of moles of a compound that can dissolve in a liter of water to form a saturated solution. It depends on the compound's solubility product constant, $K_{sp}$, and the nature of the compound (ionic vs. molecular).
Step 2: Recognize that $BaSO_4$, $AgCl$, and $CaCO_3$ are sparingly soluble salts with relatively low $K_{sp}$ values, meaning they dissolve only slightly in water, producing low molar solubility.
Step 3: Note that $NaNO_3$ is a highly soluble ionic compound that dissociates completely in water, so its molar solubility is very high compared to the other salts listed.
Step 4: To compare quantitatively, you would look up or be given the $K_{sp}$ values for the sparingly soluble salts and calculate their molar solubility using the expression $K_{sp} = [M^{n+}]^m [X^{m-}]^n$, where $M$ and $X$ are the ions formed upon dissolution.
Step 5: Since $NaNO_3$ is a strong electrolyte and dissolves completely, its molar solubility is much higher than the others, which is why it has the highest molar solubility in pure water.