A student investigates the dissolution equilibrium of calcium fluoride,
(\text{CaF}_2\), at \(25\ ^\circ\text{C}\):
\[ \text{CaF}_2(s) \rightleftharpoons \text{Ca}^{2+}(aq) + 2\,\text{F}^-(aq) \quad\quad K_{sp} = 4.0 \times 10^{-11} \]
The student adds excess \(\text{CaF}_2(s)\) to two separate beakers at \(25\ ^\circ\text{C}\). Beaker 1 contains \(100\text{ mL}\) of distilled water, and Beaker 2 contains \(100\text{ mL}\) of \(0.10\text{ M NaF}(aq)\). After both mixtures are thoroughly stirred and reach equilibrium, which of the following statements correctly compares the molar solubility of \(\text{CaF}_2\) in the two beakers and provides the best justification?