At \( 310 \mathrm{~K} \), the solubility of \( \mathrm{CaF}_{2} \) in water is \( 2.34 \times 10^{-3} \) \( \mathrm{g} /…

At \( 310 \mathrm{~K} \), the solubility of \( \mathrm{CaF}_{2} \) in water is \( 2.34 \times 10^{-3} \) \( \mathrm{g} / 100 \mathrm{~mL} \). The solubility product of \( \mathrm{CaF}_{2} \) is __________ \({10}^{-12}{\left(\mathrm{mol}/\mathrm{L}\right)}^{3}\).

Given molar mass: \( \mathrm{CaF}_{2}=78 \mathrm{~g} \mathrm{~mol}^{-1} \)