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Multiple Choice
Rank the following substances in order of increasing solubility in water: AgCl, NaNO3, BaSO4.
A
BaSO4 < AgCl < NaNO3
B
AgCl < NaNO3 < BaSO4
C
AgCl < BaSO4 < NaNO3
D
NaNO3 < AgCl < BaSO4
Verified step by step guidance
1
Understand that solubility in water depends on the compound's ability to dissociate into ions and the lattice energy of the solid. Ionic compounds with lower lattice energy and higher hydration energy tend to be more soluble.
Recall that NaNO\_3 is a salt of a Group 1 metal (Na\^+) and a nitrate ion (NO\_3\^-), which are generally very soluble in water due to their strong hydration and low lattice energy.
Recognize that AgCl and BaSO\_4 are both sparingly soluble salts. Their solubility is governed by their solubility product constants (K\_sp). The smaller the K\_sp, the less soluble the compound is.
Compare the K\_sp values: AgCl has a K\_sp around 1.8 \times 10\^{-10}, BaSO\_4 has a K\_sp around 1.1 \times 10\^{-10}, and NaNO\_3 is highly soluble (effectively very large K\_sp). Since BaSO\_4 has a slightly smaller K\_sp than AgCl, it is less soluble.
Rank the substances in order of increasing solubility by arranging them from the smallest to largest K\_sp (or from least to most soluble): BaSO\_4 < AgCl < NaNO\_3.