CaSO4(Ksp=2.4 ×10^-5) has a larger Ksp value than that of...

$\mathrm{CaSO}_{4}\left(K_{\mathrm{sp}}=2.4 \times 10^{-5}\right)$ has a larger $K_{\mathrm{sp}}$ value than that of $\mathrm{Ag}_{2} \mathrm{SO}_{4}\left(K_{\mathrm{sp}}=1.4 \times 10^{-5}\right) .$ Does it necessarily follow that $\mathrm{CaSO}_{4}$ also has greater solubility $(\mathrm{g} / \mathrm{L}) ?$

$\mathrm{CaSO}_{4}\left(K_{\mathrm{sp}}=2.4 \times 10^{-5}\right)$ has a larger $K_{\mathrm{sp}}$ value than that of
$\mathrm{Ag}_{2} \mathrm{SO}_{4}\left(K_{\mathrm{sp}}=1.4 \times 10^{-5}\right) .$ Does it necessarily follow that
$\mathrm{CaSO}_{4}$ also has greater solubility $(\mathrm{g} / \mathrm{L}) ?$

Key Concepts

Solubility Product (Ksp)

The solubility product (Ksp) is the equilibrium constant for a sparingly soluble salt dissolving in water. It represents the product of the molar concentrations of the ions produced when the salt dissociates, each raised to the power of its stoichiometric coefficient. This concept is key to understanding the maximum extent to which a compound can dissolve in a solution under equilibrium conditions.

Chemical Stoichiometry

Chemical stoichiometry in dissolution reactions determines how many moles of ions are generated from each mole of the salt. Different salts have different stoichiometric coefficients when they dissociate (for example, one salt might produce one cation and one anion while another produces two cations and one anion). This influences how the Ksp relates to the molar solubility of each salt.

Molar Solubility vs. Mass Solubility

Molar solubility refers to the number of moles of a compound that can dissolve per liter of solution, which is directly related to the Ksp. However, converting molar solubility to mass solubility (grams per liter) requires multiplication by the compound’s molar mass. As a result, even if one salt has a larger Ksp, it does not necessarily mean it has a higher solubility in grams per liter because differences in molar mass and dissociation stoichiometry can affect the overall mass of solute that dissolves.

Molar Mass

Molar mass is the mass of one mole of a substance and plays a crucial role in converting between moles and grams. When calculating the solubility in grams per liter from the molar solubility, the compound’s molar mass is used as a conversion factor. This means that a compound with a higher molar mass might have a lower mass solubility even if its molar solubility is high, highlighting the importance of this concept in evaluating solubility across different substances.

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